Question

A straight wire in a magnetic field experiences a force of 0.023 N when the current in the wire is 2.5 A. The current in the wire is changed, and the wire experiences a force of 0.058 N as a result. What is the new current

Answer 1

Answer:

The new current in the wire is 6.3 A.

Explanation:

Given that,

Force in a straight wire, F = 0.023 N

Current in the wire, I = 2.5 A

If new force is, F' = 0.058 N, we need to find the new current.

We know that, magnetic force is given by :

$F=ilB\sin\theta$

It is clear that force is directly proportional to electric current. So, we can say:

$\dfrac{F}{F'}=\dfrac{I}{I'}$

I' is new current

$I'=\dfrac{IF'}{F}\\\\I'=\dfrac{2.5\times 0.058}{0.023}\\\\I'=6.3\ A$

So, the new current in the wire is 6.3 A. Hence, this is the required solution.