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Two charges q = 9.0? C are fixed in space a distance d = 2.0 cm apart, as shown

ID: 2131879 • Letter: T

Question

Two charges q = 9.0? C are fixed in space a distance d = 2.0 cm apart, as shown in the figure. With V = 0 at infinity, what is the electric potential at point C?

You bring a third charge q = 9.0?C from infinity to C. How much work must you do?

What is the potential energy U of the three-charge configuration when the third charge is in place?


Two charges q = 9.0? C are fixed in space a distance d = 2.0 cm apart, as shown in the figure. With V = 0 at infinity, what is the electric potential at point C? You bring a third charge q = 9.0?C from infinity to C. How much work must you do? What is the potential energy U of the three-charge configuration when the third charge is in place?

Explanation / Answer

a) Vc = 2* sqrt(2) /(4*pi*eo) * (q/d)


= 2 * sqrt(2) /(4*3.14*8.85*10^-12) *(9*10^-6/0.02)


=11.45 *10^6 V


b) work done = 9*10^-6 * 11.45 *10^6 = 103.05 J


c) potential energy = (2sqrt(2) +1)/(4*pi(e0) * q^2/d = 139.55J

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