1. A flat, rectangular coil consisting of 50 turns measures 20.0 cm by 30.0 cm a
ID: 2041014 • Letter: 1
Question
1. A flat, rectangular coil consisting of 50 turns measures 20.0 cm by 30.0 cm and has a resistance of 40.0 ?. It is in a uniform, 1.20-T magnetic field, with the plane of the coil parallel to the field. In 0.250 s, it is rotated so that the plane of the coil is perpendicular to the field. What is the average current induced in the coil during the rotation? 2. An LC circuit cousists of a 2.60 nF capacitor and a 2.30 mH inductor. The maximum voltage is 5.00 V. What is the maximum current in the circuit? 3. A circular loop of wire with a radius of 12.0 cm aud oriented in the horizontal ry-plane is located in a region of uniform magnetic field. A field of 1.50 T is directed in the positive z-direction, which is out of the page. is extracted? (b) Looking down on the loop from above, is the current induced in the loop clockwise or counter- clockwise?Explanation / Answer
1.
Avg Induced Current is given by:
I_induced = EMF/R
induced EMF is given by:
EMF = -N*d(phi)/dt
phi = magnetic flux = B*A
EMF = -N*A*dB/dt
N = 50 turns
A = Area = 20*30 = 600 cm^2 = 0.06 m^2
dB = Bf - Bi = 0 - 1.20 = -1.20 T
dt = 0.250 sec, So
EMF = -50*0.06*(-1.20)/0.250 = 14.4 V
Now Induced current will be
i = EMF/R = 14.4/40 = 0.36 Amp
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