1 A wire carrying 12 A makes a 31 angle with a uniform magne

1. A wire carrying 12 A makes a 31 angle with a uniform magnetic field. The magnetic force per unit length of wire is 0.30
Part A
What is the magnetic field strength?
Express your answer using two significant figures
B= mT
Part B
What is the maximum force per unit length that could be achieved by reorienting the wire in this field?
Express your answer using two significant figures.
fmax= N/m
A 2.2 m long wire carrying 4.0 A is wound into a tight coil 6.5 cm in diameter
Part A
Find the magnetic field at its center.
Express your answer using two significant figures
B=T
2. A 2.2 m
long wire carrying 4.0 A is wound into a tight coil 6.5 cm in diameter.
Part A
Find the magnetic field at its center.
Express your answer using two significant figures.
B=T

Solution

1. F = iBxL

F = iBLsinA

F/L = 0.3

B = 0.3/(12*sin 31 deg) = 48.54 mT

2. Maximum when sin A = 1

F/L = iB*sin A = 12*48.54*10^-3 = 0.582 N/m

2 .

B = uo*N*I/2a

N = L/pi*D

where N is the number of turns. If the wire has length L and the coil has diameter D

B = uo*I*L/pi*D^2 = 4*10^-7*4*2.2/0.065^2 = 8.33*10^-4 T