A cubical volume is bounded by the surfaces $x=0$, $x=a$, $y=0$, $y=a$, $z=0$, $z=a$. The electric field in the region is given by $\overrightarrow{E}=E_0x\hat{i}$. Where $E_0=4 imes10^4\ \mathrm{NC^{-1}\ m^{-1}}$. If $a=2\ \mathrm{cm}$, the charge contained in the cubical volume is $Q imes10^{-14}\ \mathrm{C}$. The value of $Q$ is ______. (Take $\epsilon_0=9 imes10^{-12}\ \mathrm{C^2\ N^{-1}m^{-2}}$)

Question

A cubical volume is bounded by the surfaces $x=0$, $x=a$, $y=0$, $y=a$, $z=0$, $z=a$. The electric field in the region is given by $\overrightarrow{E}=E_0x\hat{i}$. Where $E_0=4	imes10^4\ \mathrm{NC^{-1}\ m^{-1}}$. If $a=2\ \mathrm{cm}$, the charge contained in the cubical volume is $Q	imes10^{-14}\ \mathrm{C}$. The value of $Q$ is ______. (Take $\epsilon_0=9	imes10^{-12}\ \mathrm{C^2\ N^{-1}m^{-2}}$)

Dr. Abubacker · Accepted Answer

The correct numerical answer is 288.

Explanation

Reviewed by Dr. Abubacker

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