Answer:
[tex]\theta=30^{\circ}[/tex]
Explanation:
It is given that,
Length of the wire, L = 0.6 m
Current flowing inside the wire, I = 2 A
Uniform magnetic field, B = 0.3 T
Force experienced by the wire in the magnetic field, F = 0.18 N
To find,
The angle made by the wire with the magnetic field.
Solve,
We know that the magnetic force acting on the wire inside the magnetic field is given by :
[tex]F=ILB\ sin\theta[/tex]
[tex]sin\theta=\dfrac{F}{ILB}[/tex]
[tex]sin\theta=\dfrac{0.18}{2\times 0.6\times 0.3}[/tex]
[tex]\theta=30^{\circ}[/tex]
Therefore, the wire makes an angle of 30 degrees with respect to magnetic field.