Determine the length of cable stolen by the gang. Calculate the ratio of the len

Question

Determine the length of cable stolen by the gang. Calculate the ratio of the length of cable remaining to the origial length. Four charges ql, q2, q3 and q4 are initally at infinite location. Compute the electrostatic potential energy that is required to position them at the corners of a rectangle of sides 3 m x 4 m in the order shown in the diagram below. The values of the charges are as given. In the figure below, if Q = 30 muC, q = 5.0 muC, and d = 30 cm, calculate the magnitude and irection of the electrostatic force on q

Explanation / Answer

Electrostatic pe = kqQ/r

so net pe of the system = k[q1*q2/3 + q2q4/5 + q2q3/4 +q1q4/4 + q1q3/5 + q4q3/3]
pe = 8.98*10^9[-16*26/3 + 26*18/5 - 26*25/4 - 16*18/4 + 16*25/5 - 18*25/3]*10^-12
pe = 3.13 J

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