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A parallel circuit has R = 1kΩ , C = 50 μF and L = 10 mH. The quality factor at resonance is
  • a)
    100
  • b)
    90.86
  • c)
    70.7
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
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A parallel circuit has R = 1kΩ , C = 50 μF and L = 10 mH. The...
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A parallel circuit has R = 1kΩ , C = 50 μF and L = 10 mH. The...
In a parallel circuit with R = 1k, R refers to the resistance value of one of the resistors connected in parallel. The 1k represents a resistance of 1 kilo-ohm (1000 ohms).

In a parallel circuit, multiple resistors are connected across the same two nodes, creating multiple paths for current flow. Each resistor connected in parallel has the same voltage across it, but the current through each resistor can vary.

The total resistance (RT) of a parallel circuit is calculated using the formula:

1/RT = 1/R1 + 1/R2 + 1/R3 + ...

Where R1, R2, R3, ... are the individual resistance values of the resistors connected in parallel.

If only one resistor is present in the parallel circuit, then the total resistance would simply be equal to the resistance value of that resistor (1k in this case).
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