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 _{0}}}; $
where Q = Charge enclosed by the sphere. Hence Q = feo = (EA)eo therefore Q = 4π (ε₀)2x Aε₀ = 4πε₀Aε₀³.
BETA
