A) \[\frac{4\pi {{\varepsilon }_{0}}{{R}_{1}}{{R}_{2}}}{{{R}_{2}}-{{R}_{1}}}\]
B) \[\frac{4\pi {{\varepsilon }_{0}}R_{1}^{2}}{{{R}_{2}}-{{R}_{1}}}\]
C) \[\frac{4\pi {{\varepsilon }_{0}}R_{2}^{2}}{{{R}_{2}}-{{R}_{1}}}\]
D) \[\frac{4\pi {{\varepsilon }_{0}}R_{1}^{2}{{R}_{2}}}{{{({{R}_{2}}-{{R}_{1}})}^{2}}}\]
Correct Answer: C
Solution :
\[{{C}_{system}}={{C}_{AB}}+{{C}_{B\infty }}\] \[=\frac{4\pi {{\varepsilon }_{0}}{{R}_{1}}{{R}_{2}}}{{{R}_{2}}-{{R}_{1}}}=4\pi {{\varepsilon }_{0}}{{R}_{2}}\] \[=\frac{4\pi {{\varepsilon }_{0}}R_{2}^{2}}{{{R}_{2}}-{{R}_{1}}}\]You need to login to perform this action.
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