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1.) a 30.0 cm long solenoid has 1.25 cm in a diameter is to produce a field of 0

ID: 1608507 • Letter: 1

Question

1.) a 30.0 cm long solenoid has 1.25 cm in a diameter is to produce a field of 0.385 T at its center. How much current should the solenoid carru to if it has 975 turns?

1a.) a 12.0 cm long solenoid has 0.5 cm diameter it has 420 turns. It carries 94.3A . What is the field at the center of the solenoid?

1c.) The coil in question 1a is put inside the coil of question 1. Calculate the total B field for the following conditions when the current directions are (i) identical and (ii) opposing.

a.) at the center of the second solenoid?

b.) In between the solenoids?

c.) Outside the solenoid?

Need help desperately please show your work and thank you so much.

Explanation / Answer

Given

L = 30 cm = 0.30 m

d = 1.25 cm (we do not need this values here)

B = 0.385 mT = 0.385*10^-3 T

N = 975

I = ?

we know, magnetic field inside of a solenoid, B = mue*N*I/LI

= B*L/(mue*N)

==>0.385*10^-3*0.30/(4*pi*10^-7*975)

= 0.0943 A