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Question

Three infinitely long charged thin wires are placed along x, y, z axes. Their line charge densities are λ1,λ2 and λ3 respectively. Then.

A
Ex at point (a,a,0) is independent of λ2
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B
Ez at point (a,a,0) is proportional to λ21+λ22
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C
E at point (a,a,0) is proportional to λ21+λ22
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D
E in z direction at point (a,a,0) is zero
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Solution

The correct option is A Ex at point (a,a,0) is independent of λ2

Ey=2kλ1a+kλ3a
Ex=2kλ2a+kλ3a
E=E2x+E2y
E=ka4λ21+4λ22+2λ23+4λ1λ3+3λ2λ3
1073436_993253_ans_e3465ce3a03f48b5bc78c24fdf1bb953.png

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