A) \[16\pi \,\mu C\]
B) \[32\,\,\pi \,\mu C\]
C) \[16\mu C\]
D) \[32\,\mu C\]
Correct Answer: D
Solution :
[d] \[\varepsilon =-N\frac{d\phi }{dt}\] |
\[\left| \frac{\varepsilon }{R} \right|=\frac{N}{R}\frac{d\phi }{dt}\] |
\[dq=\frac{N}{R}d\phi \] |
\[\Delta Q=\frac{N(\Delta \phi )}{R}\] |
\[\Delta Q=\frac{\Delta {{\phi }_{total}}}{R}\] |
\[=\frac{(NBA)}{R}\] |
\[=\frac{{{\mu }_{0}}ni\pi {{r}^{2}}}{R}\] |
Putting values |
\[=\frac{4\pi \times {{10}^{-7}}\times 100\times 4\times \pi \times {{(0.01)}^{2}}}{10{{\pi }^{2}}}\] |
\[\Delta Q=32\,\mu C\] |
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