A) \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ \frac{3q}{{{r}^{2}}}-\frac{q}{{{(b-r)}^{2}}} \right]\]
B) \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left[ \frac{-q}{{{r}^{2}}} \right]\]
C) \[\frac{1}{4\pi {{\varepsilon }_{0}}}\left( \frac{3q}{{{r}^{2}}} \right)\]
D) \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{3q}{{{a}^{2}}}\]
Correct Answer: C
Solution :
Electric field inside a charged spherical shell is zero. Therefore, electric field at distance r from the centre is only due to charge 3q distributed over spherical shell of radius a. \[\therefore \]Electric field intensity at distance r from the centre \[=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{3q}{{{r}^{2}}}\]
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