Derive an expression for the self-inductance of a long air-cored solenoid of length and number of turns .
Answer:
Solution
Consider a long air-cored solenoid of length , turns and cross-sectional area carrying a current . The field inside is nearly uniform:
The flux through each turn is , so the total flux linkage is
Since , the self-inductance is
The flux through each turn is , so the total flux linkage is
Since , the self-inductance is
CBSE Class 12 Board · 2008 · Subjective