A field of 100 Vm–1 is directed at 30o to positive x-axis. Find (VA–VB) if OA = 2 m and OB = 4 m

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100 (3 - 2) V

+100 (2+3) V

100 (2-3) V

200 (2+3) V

answer is B.

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Detailed Solution

E→=100 cos30o i^+100 sin30o j^ =10032 i^+10012 j^ ; dl→=2i^+4j^ ; dV=-E→.dl→ =-100 x 32 x 2+100 x 12 x 4=-1003+2 VVB-VA=-1003+2 V ∴V A-V B=1003+2 V

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