JEE MAIN - Physics (2021 - 25th February Evening Shift - No. 9)

A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $$\overrightarrow E $$ through the shaded area is :

JEE Main 2021 (Online) 25th February Evening Shift Physics - Electrostatics Question 137 English
$${q \over {24{\varepsilon _0}}}$$
$${q \over {48{\varepsilon _0}}}$$
$${q \over {4{\varepsilon _0}}}$$
$${q \over {8{\varepsilon _0}}}$$

Explanation

JEE Main 2021 (Online) 25th February Evening Shift Physics - Electrostatics Question 137 English Explanation
Flux through cube, $$\phi = {q \over {8{\varepsilon _0}}}$$

Flux through surfaces ABEH, ADGH, ABCD will be zero.

$$\phi $$(EFGH) = $$\phi $$(DCFG) = $$\phi $$(EBCF) = $${1 \over 3}\left( {{q \over {8{\varepsilon _0}}}} \right)$$

= $${q \over {24{\varepsilon _0}}}$$

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