MHT CET · Physics · Electromagnetic Induction
The self inductance ' \(L\) ' of a solenoid of length ' \(l\) ' and area of cross-section 'A', with a fixed number of turns ' \(\mathrm{N}\) ' increases as
- A both \(l\) and \(\mathrm{A}\) increase
- B \(l\) decreases and \(\mathrm{A}\) increases
- C \(l\) increases and A decreases
- D both \(l\) and A decrease
Answer & Solution
Correct Answer
(B) \(l\) decreases and \(\mathrm{A}\) increases
Step-by-step Solution
Detailed explanation
The equation for self-inductance is:
\(\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}\)
\(\therefore \quad\) The self-inductance \(\mathrm{L}\) of a solenoid of length \(l\) and area of cross section ' \(\mathrm{A}\) ', with a fixed number of turns " \(\mathrm{N}\) ' increases as / decreáses and \(\mathrm{A}\) increases.
\(\mathrm{L}=\frac{\mu_0 \mathrm{~N}^2 \mathrm{~A}}{l}\)
\(\therefore \quad\) The self-inductance \(\mathrm{L}\) of a solenoid of length \(l\) and area of cross section ' \(\mathrm{A}\) ', with a fixed number of turns " \(\mathrm{N}\) ' increases as / decreáses and \(\mathrm{A}\) increases.
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