p33_069

# p33_069 - = ( I rms E rms cos φ ) T = µ 1 2 T ¶ E m I...

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69. (a) The energy stored in the capacitor is given by U E = q 2 / 2 C .S ince q is a periodic function of t with period T ,somustbe U E . Consequently, U E will not be changed over one complete cycle. Actually, U E has period T/ 2, which does not alter our conclusion. (b) Similarly, the energy stored in the inductor is U B = 1 2 i 2 L .S in c e i is a periodic function of t with period T ,somustbe U B .
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Unformatted text preview: = ( I rms E rms cos φ ) T = µ 1 2 T ¶ E m I cos φ where we substitute I rms = I/ √ 2 and E rms = E m / √ 2. (d) The energy dissipated by the resistor is P avg , resistor T = ( I rms V R ) T = I rms ( I rms R ) T = µ 1 2 T ¶ I 2 R . (e) Since E m I cos φ = E m I ( V R / E m ) = E m I ( IR/ E m ) = I 2 R , the two quantities are indeed the same....
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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