A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic field. If the coil turns through angle θ, the torque τ and θ are related as :

Question

A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic field. If the coil turns through angle θ, the torque τ and θ are related as : (A) τ propto sinθ (B) τ propto cosθ (C) τ propto tanθ (D) τ propto cotθ

Tardigrade Admin · Accepted Answer

For current carrying coil pm is directed perpendicular to the plane of the coil. When the coil turns through angle θ, angle between pm and B is (90 - θ). Also τ = pm × B.

Q. A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic field. If the coil turns through angle $θ$ , the torque $τ$ and $θ$ are related as :

$τ \propto sin θ$

$τ \propto cos θ$

$τ \propto tan θ$

$τ \propto cot θ$

For current carrying coil $p_{m}$ is directed perpendicular to the plane of the coil. When the coil turns through angle $θ$ , angle between $p_{m}$ and $B$ is (90 - $θ$ ). Also $τ = p_{m} \times B$ .

Q. A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic field. If the coil turns through angle θ, the torque τ and θ are related as :

τ∝sinθ

τ∝cosθ

τ∝tanθ

τ∝cotθ

For current carrying coil pm​​ is directed perpendicular to the plane of the coil. When the coil turns through angle θ, angle between pm​​ and B is (90 - θ). Also τ=pm​​×B.