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Exam Questions Papers - Engineering

Q1:

Find E at P(1, 1, 1) caused by four identical 3 nC point charges located at P1(1, 1, 0), P2(- 1, 1, 0), P3(- 1, - 1, 0) P4(1, - 1, 0)

A 21.58ax + 21.58ay + 12az V/m

B 6.82ax + 6.82ay + 32.89az V/m

C -6.82ax - 6.82ay - 32.89az V/m

D
-21.58ax - 21.58ay - 12az V/m

ANS:B - 6.82ax + 6.82ay + 32.89az V/m

E = 6.82ax + 6.82ay + 32.89az V/m r = ax + ay + az r1 = ax + ay r2 = - ax + ay r3 = - ax - ay and r4 = ax - ay ∴ r - r1 = az; r - r2 = 2ax + az; r - r3 = 2ax + 2ay + az r - r4 = 2ay + az = 6.8ax + 6.8ay + 32.9az .