Question 18

A circular disc of radius ๐‘… carries surface charge density $$\sigma (๐‘Ÿ) = \sigma 0 (1 โˆ’ \frac{r}{R}\right)$$, where $$\sigma_{0}$$ is a constant and ๐‘Ÿ is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is $$\phi_{0}$$. Electric flux through another spherical surface of radius $$\frac{R}{4}$$ and concentric with the disc is $$\phi$$. Then the ratio $$\frac{\phi_{0}}{\phi}$$ is_________.


Correct Answer: e


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