A 2.3 m -long wire carries a current of 8.6 A and is immersed within a uniform magnetic field B⃗ . When this wire lies along the +x axis, a magnetic force F⃗ =(−2.0j)N acts on the wire, and when it lies on the +y axis, the force is F⃗ =(2.0i−4.8k)N.

Explanation:

Given that :

The current I = 8.6 A

The length vector L = 2.3 m i

The force vector is = -2.0 j N

When L = 2.3 m i ; the

Force vector F = (2.0 i - 4.8 k) N

Compute the components of the magnetic field as follows:

Replacing 8.6 A for I ; -2.0 j N for F & 2.3 m i for L

However in y direction ; we have :

Hence, the component of magnetic field is as follows: