Question

A current carrying wire is in the shape of an equilateral
triangle of edge length 4 cm. The triangle lies in the *z* =
0 plane. The wire carries a current of 2.2 A.

1)

What is the magnitude of the torque on the wire if it is in a
region with a uniform magnetic field of magnitude 0.32 T that
points in the +*z* direction?

N·m

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2)

What is the magnitude of the torque on the wire if it is in a
region with a uniform magnetic field of magnitude 0.32 T that
points in the +*x* direction?

Answer #1

**given
L = 4 cm = 0.04 m
I = 2.2 A
B = 0.32 T**

**1)
Area of equilateral triangle, A = sqrt(3)*L^2/4**

**= sqrt(3)*0.04^2/4**

**= 6.93*10^-4 m^2**

**magnetic dipole moment of the loop, M = I*A**

**= 2.2*6.93*10^-4**

**= 1.52*10^-3 A.m^2**

**Torque acting on the loop, T = M*B*sin(theta) (here
theta is the angle between normal to the loop and B)**

**= 1.52*10^-3*0.32*sin(90)**

**= 4.86*10^-4 N.m
<<<<<<<<-----------Answer**

**2) Torque acting on the loop, T =
M*B*sin(theta)**

**= 1.52*10^-3*0.32*sin(0)**

**= 0 N.m
<<<<<<<<-----------Answer**

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