MHT CET · Physics · Electromagnetic Induction
The self-inductance \(L\) of a solenoid of length \(\lambda\) and area of crosssection \(A\) with a fixed number of turns \(N\) increases as
- A \(\lambda\) increases and \(A\) decreases
- B \(\lambda\) decreases and \(A\) increases
- C both \(\lambda\) and \(A\) increase
- D both \(\lambda\) and \(A\) decreases
Answer & Solution
Correct Answer
(B) \(\lambda\) decreases and \(A\) increases
Step-by-step Solution
Detailed explanation
The self-inductance \(L\) of a solenoid of length \(b\) and area of cross section \(A\) with fixed number of turns \(N\) is
\(L=\frac{\mu_0 N^2 A}{b}\)
So, L increases when \(b\) decreases and \(A\) increases
\(L=\frac{\mu_0 N^2 A}{b}\)
So, L increases when \(b\) decreases and \(A\) increases
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