Question

A curnent of 7.25 A in a solenoid of length 12.0 cm creates a 0.327 T magnetic field at the center of the solenoid. How many turns does this solenoid contain? turns:

Answer 1

Given data current I = 7.25 A length L = 12.0 cm magnetic field B = 0.327 T To find: - How many turns does this solenoid contain ? for the magnetic field at the center of the solenoid, use the expression B = (m u_0 times N times I)/L - (1) given m u_0 = 4 pi times 10^- 7 N = ? put the values in equation (1) 0.327 = 4 times 341 times 10^- 7 times N times 7.25/12.0 cm 0.327 = 4 times 3.141 times 10^- 7 times N times 7.25/0.12 m 0.327 times 0.12 = 4 times 3.141 times 10^- 7 times N times 7.25 \r\n 0.03924 = 0.0000091089 N N = 0.03924/0.0000091089 N = 4308 turns therefore The solenoid contains N = 4308 turns