p33_041 - Z = R . Consequently, I = E m Z resonance = E m R...

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41. The amplitude of the voltage across the inductor in an RLC series circuit is given by V L = IX L = d L . At resonance, the driving angular frequency equals the natural angular frequency: ω d = ω =1 / LC . For the given circuit X L = L LC = 1 . 0H p (1 . 0 H)(1 . 0 × 10 6 F) = 1000 Ω . At resonance the capacitive reactance has this same value, and the impedance reduces simply:
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Unformatted text preview: Z = R . Consequently, I = E m Z resonance = E m R = 10 V 10 = 1 . 0 A . The voltage amplitude across the inductor is therefore V L = IX L = (1 . 0 A)(1000 ) = 1000 V which is much larger than the amplitude of the generator emf....
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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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