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Assertion: When AC circuit contain resis...

Assertion: When `AC` circuit contain resistor only, its power is minimum.
Reason: Power of a circuit is independent of phase angle.

A

If both the assertion and reason are true and reason is a true explantion of the assertion.

B

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

C

If the assertion is true but reason false

D

If both the 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 when an AC circuit contains only a resistor, its power is minimum. - In an AC circuit, the power (P) is given by the formula: \[ P = V \cdot I \cdot \cos(\phi) \] where \( V \) is the voltage, \( I \) is the current, and \( \phi \) is the phase angle between the voltage and current. 2. **Analyzing the Power in a Resistor Only Circuit**: - In a circuit with only a resistor, the phase angle \( \phi \) is 0 degrees because the voltage and current are in phase. - Therefore, \( \cos(0) = 1 \). - This means the power is: \[ P = V \cdot I \cdot 1 = V \cdot I \] - Hence, the power is maximum when the circuit contains only a resistor, contradicting the assertion. 3. **Understanding the Reason**: - The reason states that the power of a circuit is independent of the phase angle. - However, from the power formula, we see that power is indeed dependent on the phase angle through the term \( \cos(\phi) \). - If \( \phi \) changes, the power will change accordingly, indicating that the reason is also incorrect. 4. **Conclusion**: - Since both the assertion and the reason are incorrect, the correct choice among the given options would be the one that states both are false. ### Final Answer: Both the assertion and the reason are false.

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 when an AC circuit contains only a resistor, its power is minimum. - In an AC circuit, the power (P) is given by the formula: \[ ...
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