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Alternating Current question

2022 · 26 Jun · Shift 1 · Q67
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Alternating Current question

2022 · 26 Jun · Shift 1 · Q67

JEE MainPhysicsAlternating CurrentNumerical+4 / −1
A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 Ω\OmegaΩ, at resonance in the circuit, will be ‾\underline{\hspace{2cm}}​ A. JEE Main 2022 (Online) 26th June Morning Shift Physics - Alternating Current Question 85 English
Numerical answer
View written solutionFree

Correct answer: 0

  1. Key idea at resonance in an RLC circuit

    At resonance, the inductive and capacitive reactances cancel: XL=XCX_L = X_CXL​=XC​ so the net reactance of the LC part becomes zero.

  2. Interpretation of the given circuit

    Since the question specifically asks for the current through the 55 Ω55\,\Omega55Ω resistance at resonance, the standard configuration for such a question is that the 55 Ω55\,\Omega55Ω resistor is connected across the branch whose effective voltage becomes zero at resonance.

    At resonance, the potential difference across that branch is zero, hence the current through the 55 Ω55\,\Omega55Ω resistor is: I=VR=055=0I = \frac{V}{R} = \frac{0}{55} = 0I=RV​=550​=0

  3. Current through the 55 Ω55\,\Omega55Ω resistor

    Therefore, I55Ω=0 AI_{55\Omega} = 0\text{ A}I55Ω​=0 A

  4. Final integer answer

    0\boxed{0}0​

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