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NEET 2015
Exam
NEET
Year
2015
Subject
Physics
Chapter
Electrostatics

NEET 2015 · Physics · Electrostatics

The electric field in a certain region is acting radially outward...

The electric field in a certain region is acting radially outward and is given by E=ArE = Ar. A charge contained in a sphere of radius a\text{a} centred at the origin of the field will be given byThe electric field in a certain region is acting radially outward and is given by E = Ar . A charge contained in a

Options

  1. A4πϵ0Aa24\pi{ϵ}_{0}A{a}^{2}
  2. BAϵ0a2A{ϵ}_{0}{a}^{2}
  3. C4πϵ0Aa34\pi{ϵ}_{0}A{a}^{3}
  4. Dϵ0Aa3{ϵ}_{0}A{a}^{3}

Correct answer

C. 4πϵ0Aa34\pi{ϵ}_{0}A{a}^{3}

Step-by-step solution

The electric field in a certain region is acting radially outward and is given by E = Ar . A charge contained in a

We know

ESphere=14πε0qr2{E}_{Sphere} = \dfrac{1}{4{\pi ε}_{0}}\dfrac{q}{{r}^{2}}

14πε0qa2=Aa\dfrac{1}{4{\pi ε}_{0}}\dfrac{q}{{a}^{2}} = Aa

q=4πε0Aa3q = 4{\pi ε}_{0}{Aa}^{3}
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