-A solenoid 3.0 cm long consists of 8942 loops of wire.If the magnetic field inside the solenoid is 1.0 T,what is the magnitude of the current that flows through it?
A)2.7 A
B)0.37 A
C)34 A
D)3.0 A

Question

-A solenoid 3.0 cm long consists of 8942 loops of wire.If the magnetic field inside the solenoid is 1.0 T,what is the magnitude of the current that flows through it?
A)2.7 A 
B)0.37 A 
C)34 A 
D)3.0 A

Quizplus · Accepted Answer

The magnetic field inside a solenoid is given by:B = μ₀nIwhere:B is the magnetic field in teslasμ₀ is the permeability of free space (4π × 10^-7 T·m/A)n is the number of turns per unit length in turns/meterI is the current in amperesSolving for I, we get:I = B / (μ₀n)Plugging in the given values, we get:I = 1.0 T / (4π × 10^-7 T·m/A * 8942 turns / 0.03 m) ≈ 2.7 ATherefore, the magnitude of the current that flows through the solenoid is 2.7 A.

-A Solenoid 3