Gauss's law:

$\overline{)\begin{array}{rcl}{\mathbf{\varphi}}_{\mathbf{E}}& {\mathbf{=}}& \mathbf{\oint}\mathbf{E}\mathbf{\xb7}\mathbf{d}\mathbf{A}\\ & {\mathbf{=}}& \frac{{\mathbf{Q}}_{\mathbf{e}\mathbf{n}\mathbf{c}}}{{\mathbf{\epsilon}}_{\mathbf{0}}}\end{array}}$

1)Two large, flat, horizontally oriented plates are parallel to each other, a distance *d* apart. Half way between the two plates the electric field has magnitude *E*. If the separation of the plates is reduced to *d/2* what is the magnitude of the electric field half way between the plates?

A) 0

B) E/2

C) 2E

D) 4E

E) E

2) X and Y are two uncharged metal spheres on insulating stands, and are in contact with each. A positively charged rod R is brought close to X as shown in Figure (a).

Sphere Y is now moved away from X, as in Figure (b).

What are the final charge states of X and Y?

A) X is neutral and Y is positive.

B) X is negative and Y is positive.

C) Both X and Y are neutral.

D) X is positive and Y is neutral.

E) Both X and Y are negative.

3) A piece of plastic has a net charge of +2.00 μC. How many more protons than electrons does this piece of plastic have? (e = 1.60 × 10^{-19} C).

A) 1.25 × 10^{19}

B) 2.50 × 10^{19}

C) 1.25 × 10^{13}

D) 2.50 × 10^{13}

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

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