ચાર સપાટી માટે વિદ્યુતભારનું વિતરણ આપેલ છે. તેમને અનુરૂપ વિદ્યુત ફ્લક્સ \({\phi _1},{\phi _2},{\phi _3}\) અને \({\phi _4}\) હોય તો નીચેનામાંથી શું સાચું પડે?

A \({\phi _1} < {\phi _2} = {\phi _3} > {\phi _4}\)
B \({\phi _1} > {\phi _2} > {\phi _3} > {\phi _4}\)
C \({\phi _1} = {\phi _2} = {\phi _3} = {\phi _4}\)
D \({\phi _1} > {\phi _3} ; {\phi _2} < {\phi _4}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \({\phi _1} = {\phi _2} = {\phi _3} = {\phi _4}\)

Step-by-step Solution

Detailed explanation

The net fluw linked with closed surfaces \(S_{1}\), \(\mathrm{S}_{2}, \mathrm{S}_{3} \& \mathrm{S}_{4}\) are For surface \(S_{1}, \phi_{1}=\frac{1}{\varepsilon_{0}}(2 q)\) For surface…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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