Electromagnetics - 4
Illustration:
Q1. A change q moves in a circular path of radius r with a speed of v. Calculate the induction of the magnetic field produced at the centre of the circle.
Solution: The equivalent current in the circular path is
I = 
B = 
Q2. The coil of a galvanometer has 500 turns and each turns has an avg. area 3 x 10-4 m2. calculate the magnetic moment of the coil when a current of 0.5 A passes throgh it. If a torque of 1.5 Nm is required for this coil carrying same current to set it parallel to a magnetic field. Calculate the magnetic field.
Solution: µ = NIA
= 500 x 0.5 x 3 x 10-4
= 0.075 Am2
Also
or |
| = µB sin
where
= angle between B and A
Here
= 900
= µB sin900
B =
= 20 T
ASSIGNMENTS:
Easy:
E1. Find the magnetude of magnetic field at point P due to the current carrying wire as shown.

Solution:

1 = - 300,
2 = 600
E2. Shown infigure is a conductor carrying current I. Find the magnetic field intensity at the point O.

Solution: B =
[Due to an are]



E3. What is the work done in transferring the wire from position (1) to position(2) ?

Solution:

The 'd' magnetic moment of the loop = I2l dr
Br =

Ur =


-
U = work done- (U2 - U1)