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  4. The total flux through the faces of the cube with side of length a, if a charge q is placed at B (mid-point of an edge of the cube), is φ1 and if a charge q is placed at C (centre of a face of the cube), is φ2 . Find (φ2/φ1).

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Q. The total flux through the faces of the cube with side of length $a$, if a charge $q$ is placed at $B$ (mid-point of an edge of the cube), is $\phi_{1}$ and if a charge $q$ is placed at $C$ (centre of a face of the cube), is $\phi_{2} .$ Find $\frac{\phi_{2}}{\phi_{1}}$.Physics Question Image

Electric Charges and Fields

Solution:

$\frac{\phi_{2}}{\phi_{1}}=\frac{q}{2 \varepsilon_{0}} / \frac{q}{4 \varepsilon_{0}}=2$