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JEE Main 2024Medium

Q.A disc of radius R has surface charge density σ = σ₀ r. The electric field on the axis at distance x from centre is

a
σ0R24ϵ0(1x1x2+R2)\dfrac{\sigma_0 R^2}{4 \epsilon_0} \left( \dfrac{1}{x} - \dfrac{1}{\sqrt{x^2 + R^2}} \right)
b
σ02ϵ0(1xx2+R2)\dfrac{\sigma_0}{2 \epsilon_0} \left( 1 - \dfrac{x}{\sqrt{x^2 + R^2}} \right)
c
σ0R2ϵ0x\dfrac{\sigma_0 R}{2 \epsilon_0 x}
d
σ0R22ϵ0(x2+R2)\dfrac{\sigma_0 R^2}{2 \epsilon_0 (x^2 + R^2)}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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