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Suppose the frequency of the source in t...

Suppose the frequency of the source in the above example can be varied (a) What is the frequency of the source at which resonance occurs ? (b) Calculate the impedeance, the current and power dissipated at the resonant condition.

Text Solution

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(a) Resonant frequency
`v = (1)/(2i sqrt(LC))`
` = (1)/(2 xx 3.14 sqrt(25.48 xx 10^(-3) xx 796 xx 10^(-6)))`
`= 35.4 Hz`
(b) At resonance, `Z = R = 3 Omega`
`I_(v) = (E_(v))/(Z) = (E_(v))/(R ) = (283)/(sqrt(2 xx 3)) = 66.7 A`
(c ) Power dissipated,
`P = I_(v)^(2) R = (66.7)^(2) xx 3 = 13350` watt
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