A) Nine times
B) Three times
C) Six times
D) One-third
Correct Answer: A
Solution :
Self-inductance is proportional to the number of turns per unit length. The original self-inductance (L) is given by \[L=\frac{{{\mu }_{0}}\pi {{(N)}^{\frac{2}{r}}}}{2}\] On-tripling N, the new self-inductance becomes L \[=\frac{{{\mu }_{0}}\pi {{(3N)}^{\frac{2}{r}}}}{2}=9\times \frac{{{\mu }_{0}}\pi {{(N)}^{\frac{2}{r}}}}{2}=9L\]
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