(8c24p84) Two charges q = 2.0? C are fixed in space a distance d = 4.5 cm apart,

Question

(8c24p84) Two charges q = 2.0? C are fixed in space a distance d = 4.5 cm apart, as shown in the figure. With V = 0 at infinity.

a.) What is the electric potential at point C?

b.) You bring a third charge q = 2.0?C from infinity to C. How much work must you do?

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

Two charges q = 2.0? C are fixed in space a distance d = 4.5 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 = 2.0?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)r = sqrt(2)*d/2 = 3.182 cm = 0.03182 m

V = V1 + V2 = 2*k*q/r = 1.131*10^6 volts

b) w = q*V = 2.262 J

c) U = 3*k*q^2/r = 3.394 J

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