Problem 20.45 A 31.0-cm long solenoid 1.25 cm in diameter is to produce a field

ID: 1437528 • Letter: P

Question

Problem 20.45

A 31.0-cm long solenoid 1.25 cm in diameter is to produce a field of 4.45 mT at its center.

Part A

How much current should the solenoid carry if it has 925 turns of the wire?

Express your answer using three significant figures and include the appropriate units.

Problem 20.45

A 31.0-cm long solenoid 1.25 cm in diameter is to produce a field of 4.45 mT at its center.

Part A

How much current should the solenoid carry if it has 925 turns of the wire?

Express your answer using three significant figures and include the appropriate units.

magnetic field due to solenoid is B = uo n i

where uo is 4pi e -7

n is no. of turns per unit length = N/L

i is current

4.45*10^-3 = 4pi *10^-7 * (925/0.31) * i

current i = 1.186 Amps is the current that solenoid carry

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