A long straight wire is located along the y-axis. The wire carries a current in
ID: 1519063 • Letter: A
Question
A long straight wire is located along the y-axis. The wire carries a current in the -y direction that is dynamically varying in time according to I = 2A + (0.3 A/s) t. A rectangular wire loop is located in the x-y plane. The loop has dimensions of 7m Times 5 and it is 1 m from the wire. What is the induced emf in the wire loop at t = 10 s? What will be the direction of induced current (clockwise/counterclockwise)? A polygon shaped (as shown in the figure. It is combination of a right angle triangle and a rectangle) is exposed to a magnetic field of E = 1 T. The has N = 40 curves a= 50 cm. The coil is overlapped with the magnetic field over a triangular part with x = 0 cm. The coil has resistance of R = 10 Ohm. Find the magnitude and the direction (clockwise or counterclockwise) of the induced current if the coil is moved with a speed tau = 10 m/s upward (direction by the arrow 45 degree downward (direction designated by the arrow A 100 V battery is connected through a s
Explanation / Answer
ANSWER
Magnetic field due to wire at a distance 'x' from the wire,
B = oI/2x = (o/2x)*(2 + 0.3t)
Magnetic flux through the rectangular loop,
= BdA = 18 B(5dx) = (5o/2)*(2 + 0.3t) 18 (1/x)dx = (5o/2)*(2 + 0.3t)(ln 8)
Magnitude of induced emf,
= d/dt = (5o/2)(ln 8) * 0.3 = [5 * (4 * 10-7) / 2] * (ln 8) * 0.3 = 6.24 * 10-7 V
Since the magnetic field due to the wire is out of page through the loop, the magnetic field due to the induced current in the loop should be directed into the page. So, the induced current should be clockwise.
Regards!!!