Question 1

A particle of mass $$m$$ and charge $$q is $$released from rest in a uniform electric field $$\vec{E}. $$What is the acceleration of the particle?

Accepted Answer

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

Question 2

Two point charges $$q_1$$ and $$q_2$$ are separated by a distance $$r. If $$the charge $$q_1 is $$tripled, $$q_2 is $$doubled, and the distance is increased to $$3r$$, what is the new force between them in terms of the original force $$F$$?

Accepted Answer

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

Question 3

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 4

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

Accepted Answer

$$-3\ 	ext{C}$$

Question 5

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

Accepted Answer

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

Question 6

For a point charge $$q$$ located at the origin, what is the electric field at a distance $$r$$ from the charge?

Accepted Answer

$$\vec{E} = k \frac{q}{r^2$} \hat{r}$$

Question 7

A charged particle moves in a straight line under a constant force. Which equation describes its position as a function of time?

Accepted Answer

$$x = x_0$ + v$$_{0x}$$t + \frac{1}{2}a_xt^2$

Question 8

A spatially-uniform electric field acts on an electric dipole. What does the dipole experience?

Accepted Answer

A net torque but no net force.

Question 9

The work done by a force $$\vec{F}$$ moving an object through displacement $$\vec{d} is $$given by:

Accepted Answer

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

Question 10

A point $$P is $$located a distance $$l$$ above the center charge $$q_2 in $$the first diagram. What is the direction of the electric field at point $$P$$ due to $$q_2$$?

Accepted Answer

Upward, along the line joining $$q_2$$ and $$P$$

Question 11

A nonconducting rod of length $$L$$ and charge $$q$$ produces an electric field at point $$P a $$distance $$a$$ from its end. Which integral gives the electric field at $$P$$?

Accepted Answer

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

Question 12

If the electric field just outside a conductor with surface charge density $$\sigma is$$ $$E$$, what is the relationship?

Accepted Answer

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

Question 13

A charged plane with surface charge density $$\sigma$$ produces an electric field just outside the plane. What is the magnitude of this field?

Accepted Answer

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

Question 14

A line charge with linear charge density $$\lambda$$ produces an electric field at a distance $$r$$ from the line. What is the magnitude of the field?

Accepted Answer

$$E = \frac{\lambda}{2\pi\$$epsilon_0$$ r}$$

Question 15

A particle of mass $$m is $$acted upon by a net force $$\vec{F}. $$What is its acceleration?

Accepted Answer

$$\vec{a} = \frac{\vec{F}}{m}$$

Question 16

The work-energy theorem states:

Accepted Answer

$$K_i + W = K_f$$

Question 17

A point charge $$q is $$placed at the center of a hollow conducting shell. What is the electric field inside the shell (but outside the center charge)?

Accepted Answer

Zero

Question 18

A vector $$\vec{A}$$ has components $$A_x$$, $$A_y$$, and $$A_z. $$What is the scalar product $$\vec{A} \cdot \vec{B}$$ with another vector $$\vec{B}$$?

Accepted Answer

$$\vec{A} \cdot \vec{B} = A_xB_x + A_yB_y + A_zB_z$$

Question 19

A particle moves under a variable force $$\vec{F}(x). $$What is the work done from $$x_i to$$ $$x_f$$?

Accepted Answer

$$W = \int_{x_i}^{x_f} \vec{F} \cdot d\vec{x}$$

Physics 1302W Quiz 1 – Step-by-Step Study Guidance

Guida di studio - Domande di pratica

Study guide - Flashcard