0: Angle between dinehanlf 2 A circular coil of wire 20 cm in diameter with 50 t
ID: 1433910 • Letter: 0
Question
0: Angle between dinehanlf 2 A circular coil of wire 20 cm in diameter with 50 turns of wire is centered at the origin in the x/z-plane as shown in the figure at right. The coil contains a current of 100 mA in the direction shown and is located in a uniform magnetic field of magnitude 10 T pointing in the direction of 300 above the x-axis. (a) What is the magnetic flux through the coil? (b) What is the magnetic moment of the coil? (c) What is the magnetic torque on the coil? (d) About what axis would the coil rotate if it were allowed to rotate freely? (e) What is the magnetic potential energy of the coil?Explanation / Answer
here,
diameter of coil , d = 0.2 m
radius , r = 0.1 m
number of turns , n = 50
current in the coil , I = 0.1 A
magnetic feild , B = 10T
theta = 30 degree
a)
the magnetic flux , phi = B * A
phi = 10 * pi* 0.1^2 * cos(30)
phi = 0.27 T.m^2
b)
the magnetic moment of the coil , u = n * I * A
u = 50 * 0.1 * pi * 0.1^2
u = 0.16
c)
the magnetic torque on the coil , T = u X B
T = 0.16 * 10 * sin(30)
T = 0.8 N.m^2
the magnetic torque is 0.8 N.m^2
d)
the coil will rotate along the y axis
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