Question
Physics Question on Alternating current
In an ac circuit, the instantaneous current is zero,when the instantaneous voltage is maximum. In this case, the source may be connected to :
A. pure inductor.
B. pure capacitor.
C. pure resistor.
D. combination of an inductor and capacitor.
Choose the correct answer from the options given below :
A, B and C only
B, C and D only
A and B only
A, B and D only
A, B and D only
Solution
Understanding the Phase Relationship in AC Circuits:
In an AC circuit: For a pure inductor, the current I lags the voltage V by 90∘ (or \(\frac{\pi}{2} ) radians).
For a pure capacitor, the current I leads the voltage V by 90∘. For a pure resistor, the current and voltage are in phase, meaning that they reach zero and maximum values simultaneously.
Condition for Instantaneous Current to be Zero When Voltage is Maximum:
The given condition (current is zero when voltage is maximum) implies a 90∘ phase difference between the current and voltage.
This situation occurs in:
- A pure inductor, where current lags the voltage by 90∘.
- A pure capacitor, where current leads the voltage by 90∘.
- A combination of an inductor and capacitor (LC circuit), where the phase difference can also result in current being zero when voltage is maximum.
Conclusion:
Since this phase relationship is possible in a pure inductor, pure capacitor, or an LC combination, the correct answer is Option (4): A, B, and D only.