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In an ac circuit the current...

In an ac circuit the current

A

is in phase with the voltage

B

Leads the voltage

C

Lags the voltage

D

Any of the above depending on the circumstances

Text Solution

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The correct Answer is:
### Step-by-Step Solution: 1. **Understanding AC Circuits**: In an alternating current (AC) circuit, the current and voltage can have different phase relationships. This means that they can either be in phase, where they reach their maximum and minimum values at the same time, or out of phase, where one reaches its maximum while the other is at a minimum. 2. **Phase Angle Definition**: The phase angle (φ) in an AC circuit is defined by the equation: \[ \tan(\phi) = \frac{V_L - V_C}{V_R} \] where: - \(V_L\) is the voltage across the inductor, - \(V_C\) is the voltage across the capacitor, - \(V_R\) is the voltage across the resistor. 3. **Analyzing the Phase Angle**: - If \(V_L > V_C\), then \(\phi\) is positive. This indicates that the voltage across the inductor leads the voltage across the capacitor, and thus the current leads the voltage. - If \(V_L < V_C\), then \(\phi\) is negative. This indicates that the voltage across the capacitor leads the voltage across the inductor, and thus the current lags the voltage. - If \(V_L = V_C\), then \(\phi = 0\). This means that the current and voltage are in phase. 4. **Conclusion**: Based on the analysis of the phase angle, we can conclude that: - The current can either lead the voltage, lag behind the voltage, or be in phase with the voltage depending on the relationship between \(V_L\) and \(V_C\). 5. **Final Answer**: Therefore, the correct option for the question is: - **Option 4: Any of the above** (the current can lead, lag, or be in phase with the voltage).
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