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Question

A charge q=1 μC is placed at point (1 m, 2 m, 2 m). Find the magnitude of electric field at point (0 m, 1 m, 1 m)

A
1×103 N/C
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B
2×103 N/C
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C
3×103 N/C
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D
4×103 N/C
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Solution

The correct option is C 3×103 N/C
Given, P (1 m, 2 m, 2 m) and Q (0 m, 1 m, 1 m)

So,
|PQ|=(x2x1)2+(y2y1)2+(z2z1)2
r=12+12+12=3 m
Further magnitude of electric field is E=kqr2
E=9×109×1×106(3)2
E=3×103 N/C

Why this question ?Concept - For given two points P(x1,y1,z1) andQ(x2,y2,z2) distance between them is given by PQ=(x2x1)2+(y2y1)2+(z2z1)2

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