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Two positive charges of 10 µC are placed at two corners of an equilateral triang

ID: 2042918 • Letter: T

Question

Two positive charges of 10 µC are placed at two corners of an equilateral triangle with each side of length 30 cm. A negative charge of -2 µC is placed at the third corner. (Assume that all electric potentials and potential energies are zero at infinity)
(a) What is the potential energy of the negative charge? J
(b) How much work would you have to do to remove the negative charge to infinity (a long distance away)? J

Explanation / Answer

a) the plate which is at 1000 V is positively chrged b) v = e.d => 1000 = E.(2/1000) E = 2*106 volt/m from +ve plate to -ve plate , toward plate which is grounded c) potential = work done to carry -ve charge half the way = (1/1000)*(4)*(10-6)*(2*106) = -0.008 J if -ve charge is picked from -ve plate and tried to move towards + plate half the way d) it hits the +ve plate e) chnage in P.E = change in K.E (1/2)*(1/1000)*v*v = 8/1000 v*v = 16*106 v =4 m/sec

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