Solenoid №1 has a length L,cross-sectional area A,and N turns.Solenoid №2 has a length 2L,cross-sectional area 2A,and 2N turns.Which solenoid has the greater magnetic field at its center when equal currents are going through them?

Question

Quizplus · Accepted Answer

The magnetic field at the center of a solenoid is given by $B = \mu_0 \frac{N}{L} I$, where $N$ is the number of turns, $L$ is the length, and $I$ is the current. For both solenoids, when the current is equal, the ratio $\frac{N}{L}$ remains constant ($\frac{N}{L} = \frac{2N}{2L}$), meaning the magnetic field strength will be the same for both.

Solenoid №1 Has a Length L,cross-Sectional Area A,and N Turns