Answer:
The resistance of the circuit is 133 Ohms
Explanation:
Given;
length of the solenoid, L = 11 cm = 0.11 m
number of turns of the solenoid, N = 258 turns
magnetic field inside the solenoid, B = 1.795 x 10⁻³ T
voltage across the solenoid, V = 81.0 V
The magnetic field inside the solenoid is given by;
[tex]B = \frac{\mu_oNI}{L}[/tex]
Where;
I is current through the solenoid
[tex]B = \frac{\mu_oNI}{L}\\\\I = \frac{BL}{\mu_o N}\\\\I = \frac{(1.795*10^{-3})(0.11)}{(4\pi *10^{-7})(258) }\\\\I = 0.609 \ A[/tex]
Apply ohms law to determine the resistance of the circuit.
V = IR
R = V / I
R = (81) / (0.609)
R = 133 Ohms
Therefore, the resistance of the circuit is 133 Ohms
