Show all work and assume 3 significant figures. Do all problems. 1. The figure s

Question

Show all work and assume 3 significant figures. Do all problems. 1. The figure shows (a.) What is the electric force on q2 in terms of i, and j? (b.) What is the electric field at q2 in terms of i, and j? (c.) What is the electric potential at q2 due to charges qi & q32- (d) what is the electric potential energy at q2 due to charges q1 & q3 (e.) What is the potential energy of the system of charges? 3 charges q1, q2, and q3 having a charge of -20.00 nC each. They are separated as shown - q1 3.0 m

Explanation / Answer

a) F2 = kq1q2/42 i^ + (kq2q3/52)(0.8 i^ + 0.6j^) = 9 x 109 x (-20 x 10-9)2((1/16 + 0.8/25) i^ + 0.6/25 j^) N

= (3.402 i^ + 0.864 j^) x 10-7 N

b) E2 = F2/q2 = -17.01 i^ - 4.32 j^ N/C

c) V2 = kq1/4 + kq3/5 = -81 V

d) e2 = V2q2 = 1620 x 10-9 J

e) e = e3 + kq1q3/3 = 2820 x 10-9 J

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