Question 1

Charge is distributed uniformly on the surface of a spherical balloon (an insulator). A point particle with charge q is inside. The electrical force on the particle q is greatest when:

Accepted Answer

The answer of Charge is distributed uniformly on the surface...

Question 2

A particle with charge Q is on the y axis a distance a from the origin and a particle with charge q is on the x axis a distance d from the origin. The value of d for which the x component of the force on the second particle is the greatest is:

Accepted Answer

The answer of A particle with charge Q is on...

Question 3

A particle with a charge of 5*10^-⁶ C and a mass of 20 g moves uniformly with a speed of 7 m/s in a circular orbit around a stationary particle with a charge of -5 *10^-⁶ C. The radius of the orbit is:

Accepted Answer

The answer of A particle with a charge of 5*10^-⁶...

Question 4

In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4 $\pi$$\varepsilon$₀) and G the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is:

Accepted Answer

To find the ratio of the electrostatic force to the gravitational force between electron and proton, we need to take the ratio of the respective forces. The electrostatic force between the proton and electron is given by Coulomb's law, which can be written as:
Fe = kQq/r^2

The gravitational force between the proton and electron is given by Newton's law of gravitation, which can be written as:
Fg = GMm/r^2

Taking the ratio of Fe to Fg, we get:
Fe/Fg = (kQq/r^2)/(GMm/r^2)

Simplifying this expression, we get:
Fe/Fg = kQq/GMm

Therefore, choice E is the correct answer.

Question 5

Charge is distributed on the surface of a spherical conducting shell. A point particle with charge q is inside. If polarization effects are negligible the electrical force on the particle q is greatest when:

Accepted Answer

When the point particle is near the inside surface of the balloon, it is surrounded by a greater amount of charge on the surface of the conducting shell. This leads to a stronger electrical force on the point particle. At the center of the balloon, all the forces on the particle from the charged surface cancel out and hence the force is zero. When the particle is at any point inside the conducting shell, the forces from the opposite charges on the surface of the shell cancel out and the resultant force is zero. Hence the force on the particle q is greatest when it is near the inside surface of the spherical conducting shell.

Quiz 21: Electric Charge

Charge is distributed uniformly on the surface of a spherical balloon (an insulator) . A point particle with charge q is inside. The electrical force on the particle q is greatest when:

A particle with charge Q is on the y axis a distance a from the origin and a particle with charge q is on the x axis a distance d from the origin. The value of d for which the x component of the force on the second particle is the greatest is:

A particle with a charge of 510^-⁶ C and a mass of 20 g moves uniformly with a speed of 7 m/s in a circular orbit around a stationary particle with a charge of -5 10^-⁶ C. The radius of the orbit is:

Charge is distributed on the surface of a spherical conducting shell. A point particle with charge q is inside. If polarization effects are negligible the electrical force on the particle q is greatest when:

Quiz 21: Electric Charge

Charge is distributed uniformly on the surface of a spherical balloon (an insulator) . A point particle with charge q is inside. The electrical force on the particle q is greatest when:

A particle with charge Q is on the y axis a distance a from the origin and a particle with charge q is on the x axis a distance d from the origin. The value of d for which the x component of the force on the second particle is the greatest is:

A particle with a charge of 5*10-6 C and a mass of 20 g moves uniformly with a speed of 7 m/s in a circular orbit around a stationary particle with a charge of -5 *10-6 C. The radius of the orbit is:

Charge is distributed on the surface of a spherical conducting shell. A point particle with charge q is inside. If polarization effects are negligible the electrical force on the particle q is greatest when:

A particle with a charge of 510^-⁶ C and a mass of 20 g moves uniformly with a speed of 7 m/s in a circular orbit around a stationary particle with a charge of -5 10^-⁶ C. The radius of the orbit is: