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 :
[tex]F=ilB\sin\theta[/tex]
It is clear that force is directly proportional to electric current. So, we can say:
[tex]\dfrac{F}{F'}=\dfrac{I}{I'}[/tex]
I' is new current
[tex]I'=\dfrac{IF'}{F}\\\\I'=\dfrac{2.5\times 0.058}{0.023}\\\\I'=6.3\ A[/tex]
So, the new current in the wire is 6.3 A. Hence, this is the required solution.
