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Version One – Homework 1 – Juyang Huang – 24018 – Jan 16 ...

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<strong>Version</strong> <strong>One</strong> – <strong>Homework</strong> 1 – <strong>Juyang</strong> <strong>Huang</strong> – <strong>24018</strong> – <strong>Jan</strong> <strong>16</strong>, 2008 <strong>16</strong><br />

Explanation:<br />

keywords:<br />

The total electrostatic energy of the system<br />

is the sum of the electrostatic energies<br />

between each pair of charges:<br />

U = U 12 + U 23 + U 31<br />

The electrostatic energy between the charges<br />

q i and q j is given by<br />

U ij =<br />

q i q j<br />

4 π ɛ 0 r<br />

−Q<br />

where r is the distance between the charges,<br />

so, since k e = 1 ,<br />

4 π ɛ 0<br />

]<br />

U = k e a<br />

[q 1 q 2 + q 2 q 3 + q 3 q 1<br />

= ( 8.98755 × 10 9 N · m 2 /C 2)<br />

[<br />

× (0.2 m) (1.5 × 10 −6 C) (3 × 10 −6 C)<br />

+ (3 × 10 −6 C) (−5 × 10 −6 C)<br />

]<br />

+ (−5 × 10 −6 C) (1.5 × 10 −6 C)<br />

= −0.80888 J .<br />

1. No charge flows.<br />

keywords:<br />

Moving a Charge<br />

25:02, trigonometry, numeric, > 1 min, normal.<br />

035 (part 1 of 1) 10 points<br />

It takes 120 J of work to move 1 C of charge<br />

from a positive plate to a negative plate.<br />

What voltage difference exists between the<br />

plates<br />

Correct answer: 120 V.<br />

Explanation:<br />

Let : W = 120 J and<br />

q = 1 C .<br />

The voltage difference is<br />

V = W q = 120 J<br />

1 C = 120 V .<br />

AP B 1993 MC 70<br />

25:03, trigonometry, multiple choice, < 1 min,<br />

fixed.<br />

036 (part 1 of 1) 10 points<br />

Two negatively charged spheres with different<br />

radii are shown in the figure below.<br />

−Q<br />

The two conductors are now conneted by a<br />

wire.<br />

Which of the following occurs when the two<br />

spheres are connected with a conducting wire<br />

2. Negative charge flows from the larger<br />

sphere to the smaller sphere until the electric<br />

field at the surface of each sphere is the<br />

same.<br />

3. Negative charge flows from the larger<br />

sphere to the smaller sphere until the electric<br />

potential of each sphere is the same.<br />

4. Negative charge flows from the smaller<br />

sphere to the larger sphere until the electric<br />

field at the surface of each sphere is the<br />

same.<br />

5. Negative charge flows from the smaller<br />

sphere to the larger sphere until the electric<br />

potential of each sphere is the same. correct<br />

Explanation:<br />

When the wire is connected, charge will flow<br />

until each surface is at the same potential.<br />

When disconnected the potential of each

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