A circular coil of 185 turns has a radius of 1.60 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 1.79 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 47.7 mT magnetic field.

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 = ?

(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

it's a b and

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada