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Assertion : In a purely inductive or cap...

Assertion : In a purely inductive or capacitive circuit, the current is referred to as wattless currents.
Reason : No power is dissipated in a purely inductive or capacitive circuit even though a current is flowing in the circuit.

A

If both assertion ans reason are true ans reaason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion istrue but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in a purely inductive or capacitive circuit, the current is referred to as wattless currents. - Wattless currents are defined as currents that do not result in power dissipation in the circuit. **Hint**: Recall the definition of wattless currents and their significance in AC circuits. 2. **Understanding the Reason**: - The reason provided states that no power is dissipated in a purely inductive or capacitive circuit, even though a current is flowing in the circuit. - In AC circuits, power (P) is given by the formula: \[ P = V_{\text{rms}} I_{\text{rms}} \cos \phi \] - Here, \(\phi\) is the phase angle between the voltage and current. **Hint**: Consider how the phase angle affects power dissipation in inductive and capacitive circuits. 3. **Analyzing Power in Purely Inductive and Capacitive Circuits**: - In a purely inductive circuit, the current lags the voltage by \(90^\circ\) (or \(\frac{\pi}{2}\) radians), which means \(\cos(\frac{\pi}{2}) = 0\). - In a purely capacitive circuit, the current leads the voltage by \(90^\circ\) (or \(\frac{\pi}{2}\) radians), which also results in \(\cos(\frac{\pi}{2}) = 0\). - Therefore, substituting \(\phi = \frac{\pi}{2}\) in the power formula gives: \[ P = V_{\text{rms}} I_{\text{rms}} \cdot 0 = 0 \] - This indicates that no power is dissipated in these circuits. **Hint**: Think about the implications of the phase relationship between current and voltage in determining power. 4. **Conclusion**: - Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that: - **Assertion**: True - **Reason**: True and explains the assertion. **Final Answer**: Both assertion and reason are true, and the reason is the correct explanation of the assertion.

To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in a purely inductive or capacitive circuit, the current is referred to as wattless currents. - Wattless currents are defined as currents that do not result in power dissipation in the circuit. ...
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