Question

a. A 3 m long wire carrying a current of 1. 06 Ampere forms a 2-turn loop in the shape of an equilateral triangle. If the loop is placed in a constant uniform magnetic field with a magnitude of 0.734 T, determine the maximum torque that acts on it.

b. Given an iron core solenoid with 16 turns of wire, 38 cm long and diameter of 99 cm. When 48A current flows in the wire, it was found that the magnetic field inside the solenoid is 2.2 T. What is the value of permeability, µ of this high field strength?

Answer 1

Here we have given that,

A)

L = 3 m

a= 1.5/3 = 0.5 m

So area of the triangle will be as,

A = 1.714/4×0.5² = 0.11

I = 1. 06 Ampere

N = 2-turn

If the loop is placed in a constant uniform magnetic field with a magnitude of 0.734 T,

Then maximum torque that acts on it will be

T = BinA =0.171168 Nm

b. Given

N = 16 turns of wire,

L = 38 cm long and

D diameter = 99 cm

I = 48A current flows in the wire,

magnetic field inside the solenoid B = 2.2 T

B = uNI/L

Permeability u = BL/NI = (0.00108854167) H/m

What is the value of permeability, µ of this high field strength