Asked in FBISE Physics 2022 — Paper 1 2022

The phase difference between the current and voltage at resonance in R.L.C series A.C circuit is:

Correct answer: A. 0

  • A. 0
  • B. -π/2
  • C. -π
  • D. π/2

Explanation

At resonance in an RLC series AC circuit, the inductive reactance (XL) and capacitive reactance (XC) are equal and cancel each other out. This means that the circuit behaves as if it were purely resistive, and the current and voltage are in phase. Therefore, the phase difference between the current and voltage at resonance is: ϕ=0∘ or 0 radiansThis indicates that there is no phase difference; the current and voltage rise and fall together.

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About AC Through Resistor, Capacitor and Inductor

Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.

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