Question
How is the Q of an RLC parallel resonant circuit calculated?
Answer Options
- A) Reactance of either the inductance or capacitance divided by the resistance
- B) Reactance of either the inductance or capacitance multiplied by the resistance
- C) Resistance divided by the reactance of either the inductance or capacitance
- D) Reactance of the inductance multiplied by the reactance of the capacitance
Correct Answer: C
Explanation
The Quality factor, or Q, of a resonant circuit is a measure of its energy storage capability relative to its energy dissipation. In a parallel resonant circuit, the ideal formula involves the load resistance (R) connected in parallel with the LC tank, as the tank’s impedance is maximized at resonance.
For an RLC parallel resonant circuit, the Q is determined by the loading resistance relative to the reactive components. The formula for the circuit Q is: Q = R / X_L = R / X_C. Therefore, it is calculated as Resistance divided by the reactance of either the inductance or capacitance. This shows that increasing the load resistance (R) increases the Q, while increasing the reactance (X_L or X_C) lowers the Q for a fixed resistance.
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