Question

Please do problem 1 and problem 2 and show all steps.

1. Three, fixed point charges, 91 (+5.OnC), 92 (-3.OnC) and q3 (-2.0nC), are positioned as shown in the diagram. Note: 1nC = 10°C i. Determine the electric potential at point, P, directly below qı. 92 91 93 0.15m 0.15m 0.25m VP 92 ii. A fourth charge, 44=+2.5nc, is then placed at point P. Calculate the electric potential energy, UE(P), for 94. 91 0.15m 93 0.15m 0.25m 94 2. Consider a uniform, ring of charge with a linear charge density of Aring=+3.25x10°C/m & radius R=0.275m. i. Calculate the electric potential at point, P, located y=0.050m directly above of the center of the ring. у 1 R Uniformly charged ring ii. A 3.85x10-11kg point charge, with charge 9.=-2.50nc, is placed at point P and then released. Find the speed of the point charge when it reaches the center of the ring?

Answer 1

0 0.3 m given, 0.15m q 93 q, = 5nc = 5x10-9 »O 0,15m 7 = -3n6= ~3x10-9 T = 0.25m % = ~20(= ngx1009 r = 0.25 m In, the figure, 72= 12+ Co.1s ? (o. asm) + (0.15 m) 0, 2915 m 33 m?+ (0.9m)2 = (0.25 m)?t (0.3m)? 0.3905m Then the electric potential at the paint Pro P, as given by where v=kq =( +42 + 2 + Kq ку r J2 u 2 Patential Kar 9x109 m2 c2 58109 38109 2x109 v= (9x109 m2 Potential, Ive us . 281. V 0,25mg J - 0, 2915m 0,3905m placed cet () if a fourth charge, 44 = 2.506 = 2.5 Xlong c , as Paint 7, then lhe electric Patonkial cringy VALP) = (v) qu= (1.281V) (205 X10-9c) fro tu se given by U (P) = 103.200109 1.032x10-7