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Question

Question: Two infinitely long line charge of same linear charge density l are arranged as shown in figure. The...

Two infinitely long line charge of same linear charge density l are arranged as shown in figure. The magnitude of electric field intensity at point P as shown in figure –

A

KλR\frac{K\lambda}{R}

B

2KλR\frac{2K\lambda}{R}

C

2KλRcosθ\frac{2K\lambda}{R\cos\theta}

D

2KλRsinθ\frac{2K\lambda}{R\sin\theta}

Answer

2KλR\frac{2K\lambda}{R}

Explanation

Solution

At point P

P = 2Ey

= 2KλRcosθ\frac { \mathrm { K } \lambda } { \mathrm { R } \cos \theta } [cosq – cos900]

= 2 KλR\frac { 2 \mathrm {~K} \lambda } { \mathrm { R } }