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Question

A point charge(+10 nC) is kept at point P(1,2,3) and a test charge is kept at point Q(3,4,5). Find the electric field experienced by the test charge.
[Assume distances in metre]

A
2.2(^i+^j+^k) N/C
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B
3.3(^i+^j+^k) N/C
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C
4.4(^i+^j+^k) N/C
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D
5.5(^i+^j+^k) N/C
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Solution

The correct option is C 4.4(^i+^j+^k) N/C
Given:
Charge, q=+10 nC
Point, P(1,2,3)
Point, Q(3,4,5)
So position of test charge wrt P can be represented as r=(3^i+4^j+5^k)(1^i+2^j+3^k)
r=2^i+2^j+2^k
Further, r=22+22+22=23 m

We know that,
E=kqr3r
On putting values,
E=9×109×10×109(23)3×(2^i+2^j+2^k)
E=2.2(2^i+2^j+2^k)
E=4.4(^i+^j+^k) N/C

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