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Question

The electric field in a certain region is acting radially outward and is given by $$E=Ar$$. A charge contained in a sphere of radius 'a' centred at the origin of the field will be given by?


A
4πε0Aa2
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B
Aε0a2
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C
4πε0Aa3
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D
ε0Aa3
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Solution

The correct option is C $$4\pi \varepsilon_0Aa^3$$
Here $$r=a$$
from equation (1)
$$E=\frac { 1 }{ 4\pi { \varepsilon  }_{ 0 } } .\frac { q }{ { a }^{ 2 } } =Aa$$
$$q=4\pi { \varepsilon  }_{ 0 }A{ a }^{ 3 }$$

1138542_1204351_ans_68005a10646e4bebb560fe312f5baa95.png

Physics

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