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

The new current in the wire is 6.3 A.

Step-by-step 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:

`(F)/(F')=(I)/(I')`

I' is new current

`I'=(IF')/(F)\\\\I'=(2.5* 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.