Electrostatics Question 17

Question 17 - 31 January - Shift 1

Expression for an electric field is given by $\overrightarrow{{}E}=4000 x^{2} \hat{i} \frac{V}{m}$. 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: (640)

Solution:

Formula: Electric force

Flux $=\overrightarrow{{}E} \cdot \overrightarrow{{}A}$

$ \begin{aligned} & =4000(0 \cdot 2)^{2} \frac{V}{m} \cdot(0 \cdot 2)^{2} m^{2} \\ & =4000 \times 16 \times 10^{-4} Vm \\ & =640 Vcm \end{aligned} $

Ans. 640