58. Waves that are emitted in phase from two sources willundergo constructive in

Question

58. Waves that are emitted in phase from two sources willundergo constructive interference when the paths from the sourcediffer by:    a. an odd-half integered number    b. a whole integer number ofwavelengths    c. any quarter-integer number ofwavelengths    d. none of the above 59. An LRC circuit has R=15 L=25mH and C=30F. Thecircuit is connected to a 120V (rms) source with frequency 200Hz.What is the average power dissipated by the circuit?    a. 910W    b. 870W    c. 540W    d. 460W 58. Waves that are emitted in phase from two sources willundergo constructive interference when the paths from the sourcediffer by:    a. an odd-half integered number    b. a whole integer number ofwavelengths    c. any quarter-integer number ofwavelengths    d. none of the above 59. An LRC circuit has R=15 L=25mH and C=30F. Thecircuit is connected to a 120V (rms) source with frequency 200Hz.What is the average power dissipated by the circuit?    a. 910W    b. 870W    c. 540W    d. 460W

Explanation / Answer

58. Waves that are emittedin phase from two sources will undergo constructive interferencewhen the paths from the source differ by:    a. an odd-halfintegered number    b.a whole integer number of wavelengths    c. anyquarter-integer number of wavelengths    d. noneof the above The odd-half will provide a 180 deg phaseshift between the waves and cause distructiveinterferance. 59. An LRC circuit hasR=15 L=25mH and C=30F. The circuit is connected to a120V (rms) source with frequency 200Hz. What is the average powerdissipated by the circuit?    a.910W    b.870W    c.540W    d.460W 1. Compute current i running accross theresistor R irms= vrms   /Z   i= v/Z=v/(R+ j[L - 1/(C) ] ) =v/|Z| |_ i=120/ (15 +j[2200x25x10-3 - 1/ ( 2200x30x10-6)]) i= 120 / (15 + j 4.89 ) = 120/ 15.8 |_18.0 deg i= 7.6  |_-18.0 deg A . PAVG=0.5 |I||V| cos()where |I|=Ipeak ; |V|=Vpeak Ipeak=2Irms andVpeak=2Vrms .
now
PAVG= Irms Vrmscos() . PAVG=  7.6 x 120 cos(18)= 867W . . PAVG=  870W

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