Question

Which is true about the inductance of a solenoid?
O It depends on the number of turns per unit length but not on the area of each turn.
O It depends on the area of each turn but not on the number of turns per unit length.
O It depends on the number of turns per unit length and the area of each turn.

Answer 1

Answer:

• It depends on the number of turns per unit length and the area of each turn.

Explanation:

The inductance of a long solenoid can be approximated by:

$L=\mu \frac{N^2A}{L}$

Where:

$N=Number\hspace{3}of\hspace{3}turns\\A=Cross-sectional\hspace{3}area\\L=Length\hspace{3}of\hspace{3}the\hspace{3}coil\\\mu=Magnetic\hspace{3}permeability$

Therefore, according to this, we can conclude that  the inductance of a solenoid depends on the number of turns per unit length and the area of each turn.