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Class 12 Tuition > Learn Additional Exercise 7 > Keeping the source frequency equal to the resonating...
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Keeping the source frequency equal to the resonating frequency of the seriesLCRcircuit, if the three elements,L,CandRare arranged in parallel, show that the total current in the parallelLCRcircuit is minimum at this frequency. Obtain the current rms value in each branch of the circuit for the elements and source specified in Exercise 7.11 for this frequency.

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An inductor (L), a capacitor (C), and a resistor (R) is connected in parallel with each other in a circuit where, L = 5.0 H C = 80 μF = 80 × 10−6 F R = 40 Ω Potential of the voltage source, V = 230 V Impedance (Z) of the given parallel LCR circuit is given as: Where, ω =...
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An inductor (L), a capacitor (C), and a resistor (R) is connected in parallel with each other in a circuit where, L= 5.0 H C= 80 μF = 80 × 10−6F R= 40 Ω Potential of the voltage source,V= 230 V Impedance (Z) of the given parallelLCRcircuit is given as: Where, ω = Angular frequency At resonance, Hence, the magnitude ofZis the maximum at 50 rad/s. As a result, the total current is minimum. Rms current flowing through inductor L is given as: Rms current flowing through capacitor C is given as: Rms current flowing through resistor R is given as: read less
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