Rate of change of torque τ with deflection θ is maximum for a magnet suspended freely in a uniform magnetic field of induction B, when

Question

Rate of change of torque τ with deflection θ is maximum for a magnet suspended freely in a uniform magnetic field of induction B, when (A) θ=0° (B) θ=45° (C) θ=60° (D) θ=90°

Tardigrade Admin · Accepted Answer

τ=M B sin θ or (d τ/d θ)=M B cos θ This will be maximum when θ=0°

Q. Rate of change of torque $τ$ with deflection $θ$ is maximum for a magnet suspended freely in a uniform magnetic field of induction $B$ , when

$θ = 0^{\circ}$

$θ = 4 5^{\circ}$

$θ = 6 0^{\circ}$

$θ = 9 0^{\circ}$

$τ = MB sin θ$
or $\frac{d τ}{d θ} = MB cos θ$
This will be maximum when $θ = 0^{\circ}$

Q. Rate of change of torque τ with deflection θ is maximum for a magnet suspended freely in a uniform magnetic field of induction B, when

θ=0∘

θ=45∘

θ=60∘

θ=90∘