1. A series RLC circuit has a Q of 75 and a pass band between half-power frequencies of 160 cps. Calculate the frequency of resonance and upper and lower frequencies of the pass band.

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1. A series RLC circuit has a Q of 75 and a pass band between half-power frequencies of 160 cps. Calculate the frequency of resonance and upper and lower frequencies of the pass band.

 

2. A 15.9 uF capacitor and a 15.1 mH inductor are connected in parallel. In series with these units are a variable resistor R and an adjustable device X, joined in series. (a) Determine the kind and size of device X (inductance in Henry or capacitance in Farad) when the circuit is connected to a 50 volt 400 cps source and is adjusted to resonance. (b) For the resonant condition, calculate the value of R if the voltage drop across the paralleled units is to be 100 volts.

 

3. An impedance coil having a resistance of 30 ohms and a 50 cps inductive reactance of 33.3 ohms is connected to a 125 volt 60 cps source. A series circuit consisting of a 20 ohm resistor and a variable capacitor is then connected in parallel with the coil. (a) for what values of capacitance will the circuit be in resonance? (b) calculate the two values of line current for the condition of resonance.

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