Electrostatics

JEE Main level, single correct, medium

51 of 311

Question 51 of 311

Two point charges +8q+8 q and −2q-2 q are located at x=0x=0 and x=Lx=L respectively. The location of a point on the xx axis at which the net electric field due to these two point charges is zero is

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Answer: (A) 2 L2 \mathrm{~L}

−k2q(x−L)2+k8qx2=0-\frac{\mathrm{k} 2 q}{(\mathrm{x}-\mathrm{L})^2}+\frac{\mathrm{k} 8 \mathrm{q}}{\mathrm{x}^2}=0
⇒x=2 L\Rightarrow \mathrm{x}=2 \mathrm{~L}

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