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1. In a physics laboratory experiment, a coil with 160 turns enclosing an area o

ID: 1488317 • Letter: 1

Question

1. In a physics laboratory experiment, a coil with 160 turns enclosing an area of 11.9 cm2 is rotated in a time interval of 3.80×10?2 s from a position where its plane is perpendicular to the earth's magnetic field to one where its plane is parallel to the field. The earth's magnetic field at the lab location is 6.4×10?5T. What is the average emf induced in the coil?

3. An L-C circuit has an inductance of 0.440 H and a capacitance of 0.280 nF. During the current oscillations, the maximum current in the inductor is 1.20A. What is the maximum energy Emax stored in the capacitor at any time during the current oscillations?

4. An L-R-C circuit has L = 0.410 H , C = 2.10×10?5 F , and a resistance R=10?. What is the natural angular frequency of the circuit?

Explanation / Answer

1.

total magnetic flux through the coil before it is rotated:

@ = NBA = 160*6.4×105*11.9*10-4 =1.21856e-5 T.m^2

total magnetic flux through the coil after it is rotated:

@' = NBAcos90 = 0

the emf induced in the coil is,

emf = -d@/dt = -[0 - 1.21856e-5 T.m^2] / 0.038 = 3.2e-4 V