Find the Q factor when the voltage across the capacitor is 1000V and t...
We know that voltage across the capacitor in resonance condition is equal to Q times the source voltage. Vc=QV. Substituting the values from the given question, we get Q=10.
View all questions of this testFind the Q factor when the voltage across the capacitor is 1000V and t...
Understanding Q Factor
The Q factor, or Quality factor, is a dimensionless parameter that describes the performance of a resonant circuit, particularly in terms of energy loss. It is defined as the ratio of the reactive power stored in the circuit to the real power dissipated.
Key Formula
The Q factor can be calculated using the formula:
Q = V_C / V_S
Where:
- V_C = Voltage across the capacitor
- V_S = Source voltage
Given Values
- V_C = 1000 V (Voltage across the capacitor)
- V_S = 100 V (Source voltage)
Calculating Q Factor
To find the Q factor:
- Substitute the values into the formula:
Q = 1000 V / 100 V
- Perform the division:
Q = 10
Conclusion
The calculated Q factor is 10, which corresponds to option 'A'. This indicates that the capacitor can store energy effectively compared to the energy supplied by the source, reflecting a high quality of resonance in the circuit.
Understanding the Q factor is essential for evaluating the efficiency and performance of resonant circuits in electrical engineering applications.