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Q.

Expression for an electric field is given by $\vec{E} = 4000 x^{2} \hat{i} \frac{V}{m}$ . The electric flux through the cube of side 20 cm when placed in electric field (as shown in the figure) is ________V cm.

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answer is 640.

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Detailed Solution

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Electric flux is given by $ϕ = \vec{E} . \vec{dS}$

Flux through all faces except x=20 cm will be

$ϕ = 4000 \times [0.2]^{2} \times [0.2]^{2} Vm$
$= 6.4 Vm = 640 Vcm$

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