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Consider a one-turn rectangular loop of wire place in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4 Ω, and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time, and is given by B(t) = 0.25 sinωt, where ω = 2π × 50 radian/second. The power absorbed (in Watt) by the loop from the magnetic field is __________.
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- 0.192
- 192
- 1.992
- None of the above
Correct Option: A
P = | ||
R |
Vemf = | ||
dt |
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Vemf = | = | π cos ωt | ||
dt | 8 |
P = | cos2 ωt × | |||
64 | R |
P = | ![]() | ![]() | |||||
0.4 × 64 | 2 |
Pavg = | + | cos2ωt | ||
20 × 0.4 × 64 | 0.4 × 64 × 2 |
Pavg = | = 0.192 W | |
20 × 0.4 × 64 |