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Signal and systems miscellaneous

Signals and Systems

  1. A periodic voltage having the Fourier series V(t) = 1 + 4 sin ωt + 2cos ωt volts is applied across a one-ohm resistor. The power dissipated in 1-ohm resistor is—
    1. 1W
    2. 11W
    3. 21W
    4. 24.5W
Correct Option: B

Vrms of the given Fourier series
= √1 + 4².½ + 2². ½
= √11
Power dissipated in 1 – Ω resistor

=
V2rms
=
(√11)
= 11watt
R1



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