Homework -
Q1. The plane of a circle of radius 10 cm makes an angle of 30o with a uniform magnetic field.
(a) If the magnetic flux through this circle is 50 Wb, what is the strength of the magnetic field?
(b) If a magnetic field is given in MKS units by B = 2y i^ + yz k^, what is the magnetic flux through a square whose corners are at (0,0,0), (0,1m,0), (0,1m, 1m), and (0,0,1m)?
Q2. The cube shown at right is 0.5 m on a side. The wire bent as shown carries a current of 0.2 A and the uniform magnetic field in the +x-direction is 10 T. Find the magnitude and direction of the magnetic force on each segment of the wire.
Q3. A wire of length 2a is symmetrically located along the y-axis and carries an upward current I.
(a) What is the magnetic field due to this wire at a distance x along the x-axis?
(b) What does this become when x < < a?
(c) When x > > a?
Q4. A long straight vertical wire carries an upward current I1 = 10 A. A rectangular coil wire is located near the vertical wire as shown in the figure at right. If a = 10 cm, b = 30 cm, c = 50 cm, and I2 = 5 A, what is the net force on the rectangular coil due to the magnetic field of the straight line?
