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Consider the three charges which are fixed in place as shown in the diagram at t

ID: 1773530 • Letter: C

Question

Consider the three charges which are fixed in place as shown in the diagram at the right where -18 ,-5.90 uC 6.50 C a 18.0 cm 5.00 uC + A 91 b 16.0 cm Consider electric potential and potential energy to be zero at infinity. Answer the following two questions about this system. 14.olO 12 pts] Determine the electric potential at point A, in /66 kilovolts (kv). 93 50 42 WM , 12.0 IS 14 pts.] What will be the potential energy, in joules, of a 5.00 uC charge placed at Point A? This is not the total energy stored in the system, just the potential energy of the added charge.

Explanation / Answer

14) potential at A is V = V1+V1+V3


V1 is the potential due to q1


V1 = k*q1/a = (9*10^9*5.9*10^-6)/0.18 = 295 kV


V2 = k*q2/sqrt(a^2+b^2) = (9*10^9*6.5*10^-6)/sqrt(0.18^2+0.16^2) = 243 kV


V3 = k*q3/b = (-9*10^9*5*10^-6)/0.16 = -281 kV


V = V1+V2+V3

V = 295+243-281 = 257 kV

15) U = q*V = 5*10^-6*257*1000 = 1.285 J