The electric potential ' V ' at a radial distance x just outside a non-conducting sphere is R^2 2 ₀ x . The electric intensity ' E ' at a radial distance x is ( is uniform volume charge density, R is the radius of the sphere and ₀ is the pe

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The electric potential ' V ' at a radial distance x just outside a non-conducting sphere is R^2 2 ₀ x . The electric intensity ' E ' at a radial distance x is ( is uniform volume charge density, R is the radius of the sphere and ₀ is the permittivity of free space)

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Correct answer: A. R^2 2 ₀ x

The relation between electric field intensity E and electric potential V in a radial field is given by E = - dV dx . Given the electric potential V = R^2 2 ₀ x . Differentiating V with respect to x to find E : E = - d dx ( R^2 2 ₀ x ) E = - R^2 2 ₀ (- 1 x^2 ) E = R^2 2 ₀ x^2 Answer: R^2 2 ₀ x

The electric potential ' V ' at a radial distance x just outside a non-conducting sphere is R^2 2 ₀ x . The electric intensity ' E ' at a radial distance x is ( is uniform volume charge density, R is the radius of the sphere and ₀ is the permittivity of free space)

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