Question 1

A particle of mass $$m$$ moves in one dimension under a constant acceleration $$a. If $$its initial velocity is $$v_0$$ and its initial position is $$x_0$$, which equation correctly gives its position $$x as a $$function of time $$t$$?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 2

A force $$\vec{F}$$ acts on a particle, causing a displacement $$\vec{d}. $$The work done by the force is given by which of the following expressions?

Accepted Answer

$$W = \vec{F} \cdot \vec{d}$$

Question 3

A point charge $$q is $$placed at the center of a hollow, spherical conducting shell carrying a net charge $$+Q. $$What is the net charge on the inner surface of the shell?

Accepted Answer

$$-q$$

Question 4

A nonconducting rod of length $$L$$ has a total charge $$q$$ uniformly distributed along its length. What is the linear charge density $$\lambda of $$the rod?

Accepted Answer

$$\lambda = \frac{q}{L}$$

Question 5

Two point charges exert a repulsive force $$F on $$each other when separated by a distance $$r. If $$one charge is tripled, the other is doubled, and the distance is increased to $$3r$$, what is the new force?

Accepted Answer

$$\frac{2}{9}F$$

Question 6

A hollow metal sphere has a large positive charge $$Q$$ distributed uniformly on its surface. What is the magnitude of the electric field at the center of the sphere?

Accepted Answer

Zero

Question 7

A charged particle $$q is $$placed in a uniform electric field $$\vec{E}. $$What is the force experienced by the particle?

Accepted Answer

$$\vec{F} = q \vec{E}$$

Question 8

A nonconducting rod of length $$L$$ and total charge $$q$$ produces an electric field at a point $$P$$ located a distance $$a$$ from the right end of the rod along the $$x-$$axis. Which integral gives the electric field at $$P$$?

Accepted Answer

$$E = \$$int_0$$^L \frac{k \lambda dx}{(a + x)^2$}$$

Question 9

A dipole with dipole moment $$\vec{p} is $$placed in a uniform electric field $$\vec{E}. $$What is the potential energy of the dipole in the field?

Accepted Answer

$$U = -\vec{p} \cdot \vec{E}$$

Question 10

A hollow, spherical conducting shell carries a total net charge of $$+5\ \mathrm{C}. A $$point charge of $$-3\ \mathrm{C} is $$placed at the center of the shell’s cavity. What is the net charge on the inner surface of the conducting shell?

Accepted Answer

$$-3\ \mathrm{C}$$

Question 11

A particle of mass $$m$$ and charge $$q is $$released from rest in a uniform electric field $$E. $$What is its acceleration?

Accepted Answer

$$a = \frac{qE}{m}$$

Question 12

A charged plane has a uniform surface charge density $$\sigma. $$What is the electric field just outside the surface?

Accepted Answer

$$E = \frac{\sigma}{2\$$epsilon_0$$}$$

Question 13

Three infinitely large nonconducting sheets carry uniform surface charge densities $$\$$sigma_1$$, $$\$$sigma_2$$, and $$\$$sigma_3$$. Point P$ is located a perpendicular distance L/2$ above Sheet 3. What is the y$-component of the net electric field at P$?

Accepted Answer

$$\frac{1}{2\$$epsilon_0$$}(\$$sigma_3$$ - \$$sigma_2$$ - \$$sigma_1$$)$$

Question 14

A particle moves under the influence of a variable force $$F(x). $$What is the work done by the force as the particle moves from $$x_i to$$ $$x_f$$?

Accepted Answer

$$W = \int_{x_i}^{x_f} F(x) dx$$

Question 15

A spatially-uniform electric field acts on an electric dipole. Which of the following is true?

Accepted Answer

The dipole feels a net torque but no net force.

Question 16

A charged particle moves with velocity $$\vec{v} in a $$region where a constant force $$\vec{F}$$ acts on it. What is the instantaneous power delivered to the particle?

Accepted Answer

$$P = \vec{F} \cdot \vec{v}$$

Question 17

A particle of mass $$m is $$moving with velocity $$v. $$What is its kinetic energy?

Accepted Answer

$$K = \frac{1}{2}mv^2$

Question 18

A point charge $$q is $$located a distance $$r$$ from another point charge $$Q. $$What is the magnitude of the electric field produced by $$Q at $$the location of $$q$$?

Accepted Answer

$$E = k \frac{Q}{r^2$}$$

Physics 1302W Quiz 1 Study Guidance: Electric Forces, Fields, and Charge Distributions

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