Ch-30
Problems and Solutions
Page 1
Ch-30 Problems and Solutions- Fall 2015
Phy201
–
Dr. Hikmat A. Hamad
1.
Calculate the magnitude of the magnetic field at a point 25.0 cm from a long,
thin
conductor carrying a current of 2.00 A.
2.
(a) A conducting loop in the shape of a square of edge
length, ℓ
= 0.400 m carries a current
I
= 10.0 A as shown in Figure P30.5.
(a) Calculate the magnitude and direction of the magnetic field at the center of the square.
(b) What If? If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center?

3.
An infinitely long wire carrying a current I is bent at a right angle as shown in Figure
P30.6. Determine the magnetic field at point P, located a distance x from the corner of the
wire.
4.
A conductor consists of a circular loop of radius R= 15.0 cm and two long, straight
sections as shown in Figure P30.7. The wire lies in the plane of the paper and carries a
current I = 1.00 A. Find the magnetic field at the center of the loop.

Ch-30
Problems and Solutions
Page 3
5.
In Figure P30.23, the current in the long, straight wire is I
1
= 5.00 A and the wire lies in
the plane of the rectangular loop, which carries a current I
2
= 10.0 A. The dimensions in
the figure are c = 0.100 m, a = 0.150 m, and , ℓ= 0.450 m. Find the magnitude and
direction of the net force exerted on the loop by the magnetic field created by the wire.

Ch-30
Problems and Solutions
Page 4
6.
Four long, parallel conductors carry equal currents of I =5.00 A. Figure P30.32 is an end
view of the conductors. The current direction is into the page at points A and B and out of
the page at points C and D. Calculate (a) the magnitude and (b) the direction of the
magnetic field at point P, located at the center of the square of edge length , ℓ = 0.200 m.

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