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
B
Aε0a2
C
4πε0Aa3
D
ε0Aa3

Solution

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

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