Question

A straight wire in a magnetic field experiences a force of 0.017 N when the current in the wire is 1.1 A. The current in the wire is changed, and the wire experiences a force of 0.077 N as a result. What is the new current

Answer 1

The new current in the straight wire is 4.98 A

Step-by-step explanation:

Given;

initial magnetic force on the wire, F₁ = 0.017 N

initial current flowing on the straight wire, I₁ = 1.1 A

When the current in the wire is changed,

new magnetic force on the wire, F₂ = 0.077 N

the new current in the wire, I₂ = ?

Applying equation of magnetic force on conductor;

F₁ = I₁BLsinθ

F₂ = I₂BLsinθ

BLsinθ = F₁/I₁ = F₂/I₂

I₂ = (F₂I₁)/F₁

I₂ = (0.077 x 1.1) / 0.017

I₂ = 4.98 A

Therefore, the new current in the straight wire is 4.98 A