Question

The magnetic field of a long, straight, and closely-wound solenoid, inside the solenoid at a point near the center, is 0.645 T. What is the magnitude of the magnetic field at this point if the current in the solenoid is increased by a factor of 3.00

Answer 1

B'=1.935 T

Step-by-step explanation:

Given that

magnetic field ,B= 0.645 T

We know that magnetic filed in the solenoid is given as

`B=\mu _0 n\ I`

I=Current

n=Number of turn per unit length

μ0 =magnetic permeability

Now when the current increased by 3 factors

I'=3 I

Then the magnetic filed

`B'=\mu _0 n\ I'`

`B'=\mu _0 n\ (3I)`

B'=3 B

That is why

B' = 3 x 0.645 T

B'=1.935 T

Therefore the new magnetic filed will be 1.935 T.