2. A circular current loop with radius of 0.100 m is located in the x-y plane. A
ID: 1462700 • Letter: 2
Question
2. A circular current loop with radius of 0.100 m is located in the x-y plane. A magnetic field of strength 2.5 T makes an angle of 60 degree with the z-axis. If loop carries a current of 2.0 A, what is the magnitude of the magnetic force on the loop? 3. A long. straight wire is in the same plane as a nonconducting loop. The wire carries a decreasing current I in the direction shown in the figure. (a) There will be a clockwise induced current in the loop. (b) There will be a counterclockwise induced current in the loop. (c) There will be no induced emf and no induced current. (d) There will be a clockwise induced eta but no induced current. (e) There will be a counterclockwise induced emf, but no induced current. 4. At what frequency should a 200-turn, flat coil of cross-sectional area 300 cm2 be rotated in a uniform 30-mT magnetic field to have a maximum value of the induced emf equal 6.0 V? (a) 5.3 Hz (b) 7.1 Hz (c) 33 Hz (d) 44 Hz (e) 60 HzExplanation / Answer
2. Magnetic force acting on a closed current carrying loop due to magnetic field is always zero . Ans (a)
3. Magnetic field due to current carrying wire is inwards at the side of loop. Since current is decreasing, magnetic flux linked with non conducting loop is decreasing. Emf must be induced in such a way that magnetic field due to loop is produced into the plane of loop. For this emf must be induced clockwise. Current will not flow as the loop is non-conducting. Ans(d)
4. Maximum emf induced = NBAw
where N = no. of turns = 200 turns
B = 30 mT = 30 x 10^-3 T
A = 300 cm^2 = 300 x 10^-4 m^2
w = 2(pi)f
6V = 200 x 30 x 10^-3 x 300 x 10^-4 x 2 x 3.14 x f
f = 5.31 Hz
Ans (a)
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