The intensity of an electric field depends only on the coordinates x, y and z as follows : $\vec{E}$ = a (x $\hat{i}$ +y $\hat{j}$ +z $\hat{k}$ ) (x²+y²+z² $)^{\frac32}$ unit The electrostatic energy stored between two imaginary concentric spherical shells of radii R and 2R with centre at origin is :-
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Question

The intensity of an electric field depends only on the coordinates x, y and z as follows : $\vec{E}$ = a (x $\hat{i}$ +y $\hat{j}$ +z $\hat{k}$ ) (x²+y²+z² $)^{\frac32}$ unit The electrostatic energy stored between two imaginary concentric spherical shells of radii R and 2R with centre at origin is :-

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G1 Physics · Accepted Answer

Step 1: Form the displacement vector 𝐫 = 𝐫₂ - 𝐫₁ and its magnitude r. Step 2: Coulomb's vector law is 𝐅 = [1/(4πε₀)](q₁q₂/r³) 𝐫. The sign of q₁q₂ fixes whether the force is along or opposite 𝐫. Step 3: Substitute the given coordinates/charges and reduce the components. Final: Option C.