A) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{a-b}{ab} \right)\]
B) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{b-a}{ab} \right)\]
C) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{b}{{{a}^{2}}}-\frac{1}{b} \right)\]
D) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}}\left( \frac{a}{{{b}^{2}}}-\frac{1}{b} \right)\]
Correct Answer: A
Solution :
We know that \[W=q\Delta V\]and \[V=\frac{Q}{4\pi {{\varepsilon }_{0}}r}\] Hence, \[W=q\left[ \frac{Q}{4\pi {{\varepsilon }_{0}}b}-\frac{Q}{4\pi {{\varepsilon }_{0}}a} \right]\] \[=\frac{Qq}{4\pi {{\varepsilon }_{0}}}\left[ \frac{a-b}{ab} \right]\]You need to login to perform this action.
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