Given Information:
Number of turns = N = 185 turns
Radius of circular coil = r = 1.60 cm = 0.0160 m
Magnetic field = B = 47.7 mT
Magnetic dipole moment = µ =1.79 A.m
Required Information:
(a) Current = I = ?
(b) Maximum Torque = τ = ?
Answer:
(a) Current = 12.03 A
(b) Maximum Torque = 0.0853 N.m
Explanation:
(a) The magnetic dipole moment µ is given by
µ = NIAsin(θ)
I = µ/NAsin(θ)
Where µ is the magnetic dipole moment, N is the number of turns, I is the current flowing through the circular loop, A is the area of circular loop and is given by
A = πr²
A = π(0.0160)²
A = 0.000804 m²
I = 1.79/185*0.000804*sin(90)
I = 12.03 A
(b) The toque τ is given by
τ = NIABsin(θ)
The maximum torque occurs at θ = 90°
τ = 185*12.03*0.00804*0.0477*sin(90°)
τ = 0.0853 N.m
