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What will be the power dissipated in R in above question?
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- 2.5 × 10–3 joule
- 25 × 10–3 joule
- .25 × 10–3 joule
- None of these
Correct Option: A
Since energy will be maximum when
sin 2πt = 1
sin 2πt = sin | | | 2 |
t = | sec | | 4 |
Power dissipated
= I2 R = (10– 4 sin 2πt)2. 106 = 10– 2 sin2 2πt
Power dissipated
= | ![]() | 1 / 2 | (10–2 sin2 2πt) dt | 0 |
= | ![]() | 1 / 2 | (1 – cos 4πt) dt | 0 | 2 |
= 2.5 × 10– 3 joule
Note:
Since the current flows in resistor for | sec during charging and | sec during discharging so | 4 | 4 |
t = | + | = | sec. | 4 | 4 | 2 |
∴ Power dissipated from 0 to | sec . | | 2 |