Electrostatics Question 244

Question: Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible [AMU 2001]

Options:

A) $ \frac{1}{4\pi {\varepsilon _{0}}}A\gamma _{0}^{3} $

B) $ 4\pi {\varepsilon _{0}}A\gamma _{0}^{3} $

C) $ \frac{4\pi {\varepsilon _{0}}A}{{\gamma _{0}}} $

D) $ \frac{1}{4\pi {\varepsilon _{0}}}\frac{A}{\gamma _{0}^{3}} $

Show Answer

Answer:

Correct Answer: B

Solution:

Flux linked with the given sphere $ \varphi =\frac{Q}{{\varepsilon _{o}}}; $

where Q = Charge enclosed by the sphere. Hence Q = fe­o = (EA)eo therefore Q = 4p (go)2x Agoeo = 4peoAgo3.



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