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Question: If an electric field is given by 10\(\widehat{i}\) + 3\(\widehat{j}\) + 4\(\widehat{k}\), then calcu...

If an electric field is given by 10i^\widehat{i} + 3j^\widehat{j} + 4k^\widehat{k}, then calculate the electric flux through a surface of area 10 units lying in y-z plane -

A

100 units

B

10 units

C

30 units

D

40 units

Answer

40 units

Explanation

Solution

fA + fC + fB = qϵ0\frac { \mathrm { q } } { \epsilon _ { 0 } }

Q fA = fC

\ fA + fA + f = qϵ0\frac { \mathrm { q } } { \epsilon _ { 0 } }

\ ϕA=12(qϵ0ϕ)\phi _ { \mathrm { A } } = \frac { 1 } { 2 } \left( \frac { \mathrm { q } } { \epsilon _ { 0 } } - \phi \right)