Question 1

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire windings.If the radius of the solenoid is doubled to 2b,but all the other quantities remain the same,the magnetic field inside the solenoid will

Accepted Answer

The magnetic field inside an ideal solenoid only depends on the number of windings per unit length and the current flowing through the wire, not the radius of the solenoid. Therefore, if the radius is doubled but all other quantities remain the same, the magnetic field inside the solenoid will remain the same.

Question 2

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 4 cm from this wire?

Accepted Answer

The magnetic field created by a long straight current-carrying wire is given by:

B = μ0I/2πr

where B is the magnetic field at a distance r from the wire, I is the current flowing through the wire, and μ0 is the permeability of free space (4π × 10^-7 T·m/A).

Using the given information, we can solve for the current:

4 μT = μ0I/2π(0.02 m)

I = 2π(0.02 m)(4 μT)/μ0

I ≈ 10 A

Now we can use the above equation to find the magnetic field at a distance of 4 cm (0.04 m) from the wire:

B = μ0I/2πr = μ0(10 A)/2π(0.04 m) ≈ 2 μT

Therefore, the answer is A) 2 μT.

Question 3

A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the direction of the magnetic field at a point P due to this wire?

Accepted Answer

The answer of A long straight wire carrying a 4-A...

Question 4

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop outside the loop,the magnetic field lines caused by this current

Accepted Answer

The answer of A current-carrying loop of wire lies flat...

Question 5

A proton travels at a speed of 5.0 × 10⁷ m/s through a 1.0-T magnetic field.What is the magnitude of the magnetic force on the proton if the angle between the proton's velocity and the magnetic field vector is 30°? (e = 1.60 × 10^-19C)

Accepted Answer

The magnetic force on a charged particle moving in a magnetic field is given by:

F = qvBsinθ

Where:
q = charge of the particle = charge of a proton = 1.60 × 10^-19 C
v = velocity of the particle = 5.0 × 10^7 m/s
B = magnetic field strength = 1.0 T
θ = angle between the velocity and magnetic field vectors = 30°

Plugging in the values:

F = (1.60 × 10^-19 C)(5.0 × 10^7 m/s)(1.0 T)sin(30°)
F = 4.0 × 10^-12 N

So, the magnitude of the magnetic force on the proton is 4.0 × 10^-12 N, which corresponds to choice D.

Question 6

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop inside the loop,the magnetic field lines caused by this current

Accepted Answer

According to the right-hand rule for magnetic fields, the magnetic field lines created by a current-carrying loop of wire will point out of the plane of the loop inside the loop itself. Therefore, the correct answer is that the field lines point straight up (choice C).

Question 7

A proton moving with a velocity of 4.0 × 10⁴ m/s along the +y-axis enters a magnetic field of 0.20 T directed towards the -x-axis.What is the magnitude of the magnetic force acting on the proton?

Accepted Answer

The answer of A proton moving with a velocity of...

Question 8

A proton moving eastward with a velocity of 5.0 km/s enters a magnetic field of 0.20 T pointing northward.What are the magnitude and direction of the force that the magnetic field exerts on the proton? (e = 1.60 × 10^-19C)

Accepted Answer

The force exerted by a magnetic field on a moving charge is given by the equation F = qvBsinθ, where q is the charge (1.60 × 10^-19 C for a proton), v is the velocity (5.0 × 10^3 m/s), B is the magnetic field strength (0.20 T), and θ is the angle between the velocity and the magnetic field direction (90 degrees since the velocity is eastward and the field is northward). The sine of 90 degrees is 1, so F = (1.60 × 10^-19 C)(5.0 × 10^3 m/s)(0.20 T) = 1.6 × 10^-16 N. The direction of the force is given by the right-hand rule, which indicates the force is upwards for a positively charged particle like a proton.

Question 9

An electron moves with a speed of 5.0 × 10⁴ m/s perpendicular to a uniform magnetic field of magnitude 0.20 T.What is the magnitude of the magnetic force on the electron? (e = 1.60 × 10^-19C)

Accepted Answer

The magnetic force on a charged particle moving perpendicular to a magnetic field is given by F = qvB. Substituting the given values: F = (1.60 × 10^-19 C)(5.0 × 10^4 m/s)(0.20 T) = 1.6 × 10^-15 N.

Question 10

A vertical wire carries a current vertically downward.To the east of this wire,the magnetic field points

Accepted Answer

According to the right-hand rule, if the current is flowing downward through a vertical wire, the magnetic field will circle around it counterclockwise. To the east of the wire, the magnetic field lines will point south.

Question 11

When a ferromagnetic material is placed in an external magnetic field,the net magnetic field of its magnetic domains becomes

Accepted Answer

When a ferromagnetic material is placed in an external magnetic field, the net magnetic field of its magnetic domains becomes larger. This is because the external magnetic field aligns the magnetic domains in the same direction, causing a net magnetization of the material. As a result, the magnetic field of the material becomes stronger.

Question 12

A single current-carrying circular loop of radius R is placed next to a long,straight wire,as shown in the figure.The current I in the wire flows to the right.In which direction must current flow in the loop to produce a net magnetic field of zero at its center?

Accepted Answer

According to the right-hand rule, when the current flows in the long straight wire to the right, the magnetic field around the wire is directed counterclockwise. To cancel out this magnetic field, the magnetic field produced by the current in the circular loop must be directed clockwise. Therefore, the current in the loop must also flow clockwise.

Question 13

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 1 cm from this wire?

Accepted Answer

The magnetic field (B) around a long straight conductor is given by B = μ₀I/(2πr), where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire. This formula shows that the magnetic field is inversely proportional to the distance from the wire. Therefore, if the distance is halved, the magnetic field will double. Since the magnetic field at 2 cm is 4 μT, at 1 cm, it will be 8 μT.

Question 14

A horizontal wire carries a current straight toward you.From your point of view,the magnetic field caused by this current

Accepted Answer

According to the right-hand rule, if the thumb of your right hand points in the direction of the current, the fingers curl in the direction of the magnetic field. Since the current is coming toward you, the magnetic field circles the wire in a counter-clockwise direction.

Question 15

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b).A current I is flowing through the wire windings.If the length of the solenoid becomes twice as long (to 2L),but all other quantities remained the same,the magnetic field inside the solenoid will

Accepted Answer

The magnetic field inside an ideal solenoid is given by B = μ₀(N/L)I. If the length L is doubled to 2L while N and I remain the same, the magnetic field becomes B = μ₀(N/2L)I, which is half of the initial magnetic field.

Question 16

Consider two current-carrying circular loops.Both are made from one strand of wire and both carry the same current,but one has twice the radius of the other.If the magnetic field strength at the center of the smaller loop is B,what is the magnetic field strength at the center of the larger loop?

Accepted Answer

The answer of Consider two current-carrying circular loops.Both are made...

Question 17

When you double the number of windings in an ideal solenoid while keeping all other parameters (radius,length and current)fixed,the magnetic field at the center of the solenoid will

Accepted Answer

The magnetic field inside an ideal solenoid is directly proportional to the number of turns per unit length. Doubling the number of windings doubles the magnetic field strength, assuming all other parameters remain constant.

Question 18

A proton moving with a velocity of 4.0 × 10⁴ m/s enters a magnetic field of 0.20 T.If the angle between the velocity of the proton and the direction of the magnetic field is 60°,what is the magnitude of the magnetic force on the proton? (e = 1.60 × 10^-19C)

Accepted Answer

The answer of A proton moving with a velocity of...

Question 19

Which one of the following statements is correct?

Accepted Answer

This statement is known as the right-hand rule, and it states that if a current-carrying wire is placed in your right hand, with your thumb pointing in the direction of the current, your fingers will curl in the direction of the magnetic field lines created by the current. It is important to note that if the direction of the current is reversed, the direction of the magnetic field lines will also be reversed.

Question 20

A long straight wire has a constant current flowing to the right.A rectangular metal loop is situated above the wire,and also has a constant current flowing through it,as shown in the figure.Which one of the following statements is true?

Accepted Answer

The answer of A long straight wire has a constant...

Quiz 22: Magnetism

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire windings.If the radius of the solenoid is doubled to 2b,but all the other quantities remain the same,the magnetic field inside the solenoid will

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 4 cm from this wire?

A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the direction of the magnetic field at a point P due to this wire?

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop outside the loop,the magnetic field lines caused by this current

A proton travels at a speed of 5.0 × 10⁷ m/s through a 1.0-T magnetic field.What is the magnitude of the magnetic force on the proton if the angle between the proton's velocity and the magnetic field vector is 30°? (e = 1.60 × 10^-19C)

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop inside the loop,the magnetic field lines caused by this current

A proton moving with a velocity of 4.0 × 10⁴ m/s along the +y-axis enters a magnetic field of 0.20 T directed towards the -x-axis.What is the magnitude of the magnetic force acting on the proton?

A proton moving eastward with a velocity of 5.0 km/s enters a magnetic field of 0.20 T pointing northward.What are the magnitude and direction of the force that the magnetic field exerts on the proton? (e = 1.60 × 10^-19C)

An electron moves with a speed of 5.0 × 10⁴ m/s perpendicular to a uniform magnetic field of magnitude 0.20 T.What is the magnitude of the magnetic force on the electron? (e = 1.60 × 10^-19C)

A vertical wire carries a current vertically downward.To the east of this wire,the magnetic field points

When a ferromagnetic material is placed in an external magnetic field,the net magnetic field of its magnetic domains becomes

A single current-carrying circular loop of radius R is placed next to a long,straight wire,as shown in the figure.The current I in the wire flows to the right.In which direction must current flow in the loop to produce a net magnetic field of zero at its center?

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 1 cm from this wire?

A horizontal wire carries a current straight toward you.From your point of view,the magnetic field caused by this current

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire windings.If the length of the solenoid becomes twice as long (to 2L) ,but all other quantities remained the same,the magnetic field inside the solenoid will

Consider two current-carrying circular loops.Both are made from one strand of wire and both carry the same current,but one has twice the radius of the other.If the magnetic field strength at the center of the smaller loop is B,what is the magnetic field strength at the center of the larger loop?

When you double the number of windings in an ideal solenoid while keeping all other parameters (radius,length and current) fixed,the magnetic field at the center of the solenoid will

A proton moving with a velocity of 4.0 × 10⁴ m/s enters a magnetic field of 0.20 T.If the angle between the velocity of the proton and the direction of the magnetic field is 60°,what is the magnitude of the magnetic force on the proton? (e = 1.60 × 10^-19C)

Which one of the following statements is correct?

A long straight wire has a constant current flowing to the right.A rectangular metal loop is situated above the wire,and also has a constant current flowing through it,as shown in the figure.Which one of the following statements is true?

Quiz 22: Magnetism

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire windings.If the radius of the solenoid is doubled to 2b,but all the other quantities remain the same,the magnetic field inside the solenoid will

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 4 cm from this wire?

A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the direction of the magnetic field at a point P due to this wire?

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop outside the loop,the magnetic field lines caused by this current

A proton travels at a speed of 5.0 × 107 m/s through a 1.0-T magnetic field.What is the magnitude of the magnetic force on the proton if the angle between the proton's velocity and the magnetic field vector is 30°? (e = 1.60 × 10-19C)

A current-carrying loop of wire lies flat on a horizontal tabletop.When viewed from above,the current moves around the loop in a counterclockwise sense.For points on the tabletop inside the loop,the magnetic field lines caused by this current

A proton moving with a velocity of 4.0 × 104 m/s along the +y-axis enters a magnetic field of 0.20 T directed towards the -x-axis.What is the magnitude of the magnetic force acting on the proton?

A proton moving eastward with a velocity of 5.0 km/s enters a magnetic field of 0.20 T pointing northward.What are the magnitude and direction of the force that the magnetic field exerts on the proton? (e = 1.60 × 10-19C)

An electron moves with a speed of 5.0 × 104 m/s perpendicular to a uniform magnetic field of magnitude 0.20 T.What is the magnitude of the magnetic force on the electron? (e = 1.60 × 10-19C)

A vertical wire carries a current vertically downward.To the east of this wire,the magnetic field points

When a ferromagnetic material is placed in an external magnetic field,the net magnetic field of its magnetic domains becomes

A single current-carrying circular loop of radius R is placed next to a long,straight wire,as shown in the figure.The current I in the wire flows to the right.In which direction must current flow in the loop to produce a net magnetic field of zero at its center?

The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 1 cm from this wire?

A horizontal wire carries a current straight toward you.From your point of view,the magnetic field caused by this current

Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire windings.If the length of the solenoid becomes twice as long (to 2L) ,but all other quantities remained the same,the magnetic field inside the solenoid will

Consider two current-carrying circular loops.Both are made from one strand of wire and both carry the same current,but one has twice the radius of the other.If the magnetic field strength at the center of the smaller loop is B,what is the magnetic field strength at the center of the larger loop?

When you double the number of windings in an ideal solenoid while keeping all other parameters (radius,length and current) fixed,the magnetic field at the center of the solenoid will

A proton moving with a velocity of 4.0 × 104 m/s enters a magnetic field of 0.20 T.If the angle between the velocity of the proton and the direction of the magnetic field is 60°,what is the magnitude of the magnetic force on the proton? (e = 1.60 × 10-19C)

Which one of the following statements is correct?

A long straight wire has a constant current flowing to the right.A rectangular metal loop is situated above the wire,and also has a constant current flowing through it,as shown in the figure.Which one of the following statements is true?

A proton travels at a speed of 5.0 × 10⁷ m/s through a 1.0-T magnetic field.What is the magnitude of the magnetic force on the proton if the angle between the proton's velocity and the magnetic field vector is 30°? (e = 1.60 × 10^-19C)

A proton moving with a velocity of 4.0 × 10⁴ m/s along the +y-axis enters a magnetic field of 0.20 T directed towards the -x-axis.What is the magnitude of the magnetic force acting on the proton?

A proton moving eastward with a velocity of 5.0 km/s enters a magnetic field of 0.20 T pointing northward.What are the magnitude and direction of the force that the magnetic field exerts on the proton? (e = 1.60 × 10^-19C)

An electron moves with a speed of 5.0 × 10⁴ m/s perpendicular to a uniform magnetic field of magnitude 0.20 T.What is the magnitude of the magnetic force on the electron? (e = 1.60 × 10^-19C)

A proton moving with a velocity of 4.0 × 10⁴ m/s enters a magnetic field of 0.20 T.If the angle between the velocity of the proton and the direction of the magnetic field is 60°,what is the magnitude of the magnetic force on the proton? (e = 1.60 × 10^-19C)