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Assertion potential difference across, r...

Assertion potential difference across, resistor, capacitor and inductor each is `10 V`. Then, voltage function and current functions should be in phase.
Reason At this condition current in the circuit should be maximum.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the assertion and reason given in the question step by step. ### Step 1: Understand the Assertion The assertion states that if the potential difference across a resistor (VR), a capacitor (VC), and an inductor (VL) is each 10 V, then the voltage function and current functions should be in phase. ### Step 2: Analyze the Condition Given that: - VR = VC = VL = 10 V This implies that the reactance of the capacitor (XC) and the inductance (XL) must be equal for the circuit to be in resonance. Thus, we have: - XL = XC ### Step 3: Resonance Condition At resonance, the impedance (Z) of the circuit can be expressed as: - Z = R (where R is the resistance) This means that the circuit behaves like a purely resistive circuit, and the phase difference (φ) between the voltage and current is zero. ### Step 4: Phase Relationship Since the phase difference φ = 0 degrees, the voltage and current functions are in phase. Therefore, the assertion is true. ### Step 5: Analyze the Reason The reason states that at this condition, the current in the circuit should be maximum. ### Step 6: Current Calculation Using Ohm's Law, the current (I) can be expressed as: - I = V / Z Since at resonance: - Z = R We can substitute this into the equation: - I = V / R Given that V = 10 V (the voltage across the resistor), the current will be maximum when the impedance is minimum, which occurs at resonance. ### Step 7: Conclusion Both the assertion and reason are true, but the reason does not provide a direct explanation for the assertion. Therefore, the correct answer is that both are true, but the reason is not the correct explanation of the assertion. ### Final Answer Both assertion and reason are true, but the reason is not the correct explanation of the assertion. ---

To solve the problem, we need to analyze the assertion and reason given in the question step by step. ### Step 1: Understand the Assertion The assertion states that if the potential difference across a resistor (VR), a capacitor (VC), and an inductor (VL) is each 10 V, then the voltage function and current functions should be in phase. ### Step 2: Analyze the Condition Given that: - VR = VC = VL = 10 V ...
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