Question 1

A conductor is formed into a flat loop that encloses an area of 
The plane of the loop is oriented at a 30.0° angle with the xy-plane.A uniform time-varying magnetic field is oriented parallel to the z-axis.If the emf induced in the loop is 
What is the rate at which the magnetic field strength is changing?

Accepted Answer

The answer of A conductor is formed into a flat...

Question 2

A resistor and an inductor are connected in series to a battery.The time constant for the circuit represents the time required for the current to reach

Accepted Answer

The time constant for an RC or RL circuit is given by the product of the resistance and the capacitance or inductance respectively. In this case, the time constant will be given by τ = L/R. The time constant represents the time required for the current to reach 63% of the maximum current in an RL circuit. Therefore, the correct choice is C.

Question 3

A bar magnet is pushed through a coil of wire of cross-sectional area 0.020 m² as shown in the figure.The coil has seven turns,and the rate of change of the strength of the magnetic field in it due to the motion of the bar magnet is 0.040 T/s.What is the magnitude of the induced emf in that coil of wire?

Accepted Answer

The answer of A bar magnet is pushed through a...

Question 4

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are parallel.

Accepted Answer

When the plane of the loop and the magnetic field vector are parallel, the magnetic flux through the loop is zero because the angle between the magnetic field and the normal to the plane of the loop is 90 degrees, leading to a cosine factor of zero in the flux calculation.

Question 5

A resistor and an inductor are connected in series to an ideal battery of constant terminal voltage.At the moment contact is made with the battery,the voltage across the resistor is

Accepted Answer

At the moment contact is made, the inductor initially opposes any change in current, causing the voltage across the resistor to be zero.

Question 6

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are perpendicular.

Accepted Answer

The magnetic flux through a loop is given by the formula Φ = B*A*cos(θ), where Φ is the magnetic flux, B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field and the normal to the plane of the loop. When the plane of the loop and the magnetic field vector are perpendicular, θ = 0 degrees, and cos(0) = 1. The area of a circle is A = πr^2, where r is the radius. Substituting the given values, A = π*(0.10 m)^2 = π*0.01 m^2. Therefore, Φ = 0.20 T * π * 0.01 m^2 = 0.20 * π * 0.01 T*m^2 ≈ 6.3 × 10^-3 T*m^2.

Question 7

A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T,as shown in the figure.The length of the loop L is 0.16 m and its width w is 0.040 m.What is the magnetic flux through the loop when the plane of the loop is parallel to the magnetic field?

Accepted Answer

The answer of A rectangular loop of wire that can...

Question 8

A circular coil of 20 turns and radius 5.0 cm is placed with its plane oriented at 90° to a uniform magnetic field of 
The field is now increased at a steady rate,reaching a value of 
After 4.0 seconds.What emf is induced in the coil?

Accepted Answer

The answer of A circular coil of 20 turns and...

Question 9

If the primary coil of a transformer contains more loops than the secondary coil then it is a

Accepted Answer

This is a step-down transformer because having more loops in the primary coil compared to the secondary coil reduces the voltage from the primary to the secondary.

Question 10

A resistor and an inductor are connected in series to a battery.The battery is suddenly removed from the circuit and replaced by a wire to complete the circuit.The time constant for of the new circuit represents the time required for the current to decrease to

Accepted Answer

The time constant for an RL (resistor-inductor) circuit is defined as the time required for the current to decrease to 37% of its initial value after the source of EMF is removed.

Question 11

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are at an angle of 30°.

Accepted Answer

The magnetic flux through a circular loop is given by the formula Φ = BAcosθ, where B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field vector and the plane of the loop. In this problem, B = 0.20 T, A = πr^2 = π(0.10 m)^2 = 0.0314 m^2, and θ = 30° = π/6 radians. Thus, the magnetic flux through the loop is Φ = (0.20 T)(0.0314 m^2)cos(π/6) = 0.031 T∙m^2∙cos(30°) = 3.1 × 10^-3 T∙m^2. Therefore, the best choice is B.

Question 12

A closed flat loop conductor with radius 
Is located in a changing uniform magnetic field.If the emf induced in the loop is 
What is the rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?

Accepted Answer

The answer of A closed flat loop conductor with radius...

Question 13

A circular conducting loop with a radius of 
And a small gap filled with a 
Resistor is oriented in the 
If a uniform magnetic field of 
Making an angle of 
With the 
Increases to 
In 
What is the magnitude of the current that will be caused to flow in the loop if it has negligible resistance?

Accepted Answer

The answer of A circular conducting loop with a radius...

Question 14

A 2.00-m long metal wire is formed into a square and placed in the horizontal xy-plane.A uniform magnetic field is oriented at 30° above the horizontal with a strength of 0.344 T.What is the magnetic flux through the square due to this field?

Accepted Answer

The answer of A 2.00-m long metal wire is formed...

Question 15

The magnetic flux through a coil changes steadily from 4.0 × 10^-5 T ∙ m² to 5.0 × 10^-5 T ∙ m² in 0.10 s.What emf is induced in this coil?

Accepted Answer

The induced emf (ε) in a coil due to a change in magnetic flux (ΔΦ) over a time interval (Δt) is given by Faraday's law of electromagnetic induction, ε = -ΔΦ/Δt. Here, ΔΦ = 5.0 × 10^-5 T∙m^2 - 4.0 × 10^-5 T∙m^2 = 1.0 × 10^-5 T∙m^2, and Δt = 0.10 s. Thus, ε = (1.0 × 10^-5 T∙m^2) / (0.10 s) = 1.0 × 10^-4 V.

Question 16

A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T,as shown in the figure.The length of the loop L is 0.16 m and its width w is 0.040 m.What is the magnetic flux through the loop when the plane of the loop makes an angle of 60° with the magnetic field?

Accepted Answer

The answer of A rectangular loop of wire that can...

Question 17

A flux of 4.0 × 10^-5 T ∙ m² is maintained through a coil of area 7.5 cm² for 0.50 s.What emf is induced in this coil during this time by this flux?

Accepted Answer

The flux is maintained constant, so there is no change in flux over time, resulting in no induced emf according to Faraday's law of electromagnetic induction.

Question 18

A resistor and an inductor are connected in series to an ideal battery of constant terminal voltage.At the moment contact is made with the battery,the voltage across the inductor is

Accepted Answer

When a resistor and an inductor are connected in series to a battery, at the moment contact is made, the inductor opposes changes in current through it by generating a back EMF (electromotive force) equal to the battery's terminal voltage, according to Lenz's Law. This means the initial voltage across the inductor is equal to the battery's terminal voltage.

Question 19

A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T,as shown in the figure.The length of the loop L is 0.16 m and its width w is 0.040 m.What is the magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field?

Accepted Answer

The answer of A rectangular loop of wire that can...

Question 20

An ideal solenoid has a self-inductance L.If you now double its radius and its length,but do not change the number of coils,what will its self-inductance be?

Accepted Answer

The answer of An ideal solenoid has a self-inductance L.If...

Quiz 23: Magnetic Flux and Faradays Law of Induction

A resistor and an inductor are connected in series to a battery.The time constant for the circuit represents the time required for the current to reach

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are parallel.

A resistor and an inductor are connected in series to an ideal battery of constant terminal voltage.At the moment contact is made with the battery,the voltage across the resistor is

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are perpendicular.

A circular coil of 20 turns and radius 5.0 cm is placed with its plane oriented at 90° to a uniform magnetic field of The field is now increased at a steady rate,reaching a value of After 4.0 seconds.What emf is induced in the coil?

If the primary coil of a transformer contains more loops than the secondary coil then it is a

A resistor and an inductor are connected in series to a battery.The battery is suddenly removed from the circuit and replaced by a wire to complete the circuit.The time constant for of the new circuit represents the time required for the current to decrease to

A flat circular loop of radius 0.10 m is rotating in a uniform magnetic field of 0.20 T.Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are at an angle of 30°.

A closed flat loop conductor with radius Is located in a changing uniform magnetic field.If the emf induced in the loop is What is the rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?

A circular conducting loop with a radius of And a small gap filled with a Resistor is oriented in the If a uniform magnetic field of Making an angle of With the Increases to In What is the magnitude of the current that will be caused to flow in the loop if it has negligible resistance?

A 2.00-m long metal wire is formed into a square and placed in the horizontal xy-plane.A uniform magnetic field is oriented at 30° above the horizontal with a strength of 0.344 T.What is the magnetic flux through the square due to this field?

The magnetic flux through a coil changes steadily from 4.0 × 10-5 T ∙ m2 to 5.0 × 10-5 T ∙ m2 in 0.10 s.What emf is induced in this coil?

A flux of 4.0 × 10-5 T ∙ m2 is maintained through a coil of area 7.5 cm2 for 0.50 s.What emf is induced in this coil during this time by this flux?

A resistor and an inductor are connected in series to an ideal battery of constant terminal voltage.At the moment contact is made with the battery,the voltage across the inductor is

An ideal solenoid has a self-inductance L.If you now double its radius and its length,but do not change the number of coils,what will its self-inductance be?

The magnetic flux through a coil changes steadily from 4.0 × 10^-5 T ∙ m² to 5.0 × 10^-5 T ∙ m² in 0.10 s.What emf is induced in this coil?

A flux of 4.0 × 10^-5 T ∙ m² is maintained through a coil of area 7.5 cm² for 0.50 s.What emf is induced in this coil during this time by this flux?