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Question

Physics Question on Magnetism and matter

A long solenoid is formed by the winding 20 turns/cm. What will be the current necessary to produce a magnetic field of 20 millitesla inside the solenoid?
(μ04π=107\frac{μ_0}{4π}=10^{−7} tesla−meter/ampere)

A

4.0 A

B

1.0 A

C

8.0 A

D

2.0 A

E

9.0 A

Answer

8.0 A

Explanation

Solution

The correct option is (C): 8.0 A
The magnetic field due to a long solenoid is:
B=μoni
=i=BμONi=\frac{B}{μ_ON}
=20×1034π×107×20×100=\frac{20\times10^{-3}}{4\pi\times10^{-7}\times20\times100}
=7.9 A= 8 amp