Alternating Current NEET PYQ Analysis: LCR Circuits, Resonance and Transformers

Quick answer: An alternating current NEET PYQ analysis shows that NTA asks about one to two questions a year from this chapter, and almost all of them are short numericals from five areas: rms and peak values, reactance and phase in pure R, L and C circuits, impedance of a series LCR circuit, resonance (resonant frequency, quality factor, power factor), and transformers. A small formula set solves nearly every past question.

Alternating current NEET PYQ analysis showing transformers and power lines at a substation at dusk

This guide breaks down what NTA repeats, the formulas you must know and solved PYQ-pattern numericals. Before you start, get the bigger picture from our complete NEET Physics strategy.

Want to test yourself first? Solve the Alternating Current PYQs for free, then use this guide to fix the gaps.

Why Alternating Current Is Worth Mastering

The chapter has about 60 past questions, and they keep using the same six or seven formulas. Once you can find Z, φ and ω₀ quickly, most questions take under a minute. For chapter notes, use our Alternating Current class 12 notes, and to see where it sits among other chapters, check the NEET 2027 chapter weightage.

The chapter follows directly from induction, so revise our Electromagnetic Induction guide and our Magnetism PYQ analysis if self-inductance feels shaky. For speed on the numericals, our tips to solve Physics numericals faster help a lot here.

Alternating Current NEET PYQ Analysis: What NTA Repeats

When you sort the past NEET physics PYQs from this chapter, five question types cover nearly everything.

Question typeFrequencyWhat it tests
Series LCR circuitMost frequentImpedance, phase angle, voltage across each element
ResonanceVery frequentResonant frequency, current at resonance, quality factor, bandwidth
Power and power factorVery frequentAverage power, power factor, wattless current
Pure R, L and C circuitsRegularReactance, phase difference between current and voltage
Transformers and LC oscillationsRegularTurns ratio, energy losses, energy exchange in LC circuits

RMS and Peak Values

For v = vₘ sin ωt and i = iₘ sin ωt:

QuantityValue
RMS currentI = iₘ/√2 ≈ 0.707 iₘ
RMS voltageV = vₘ/√2
Average current over a full cycleZero
Average current over a half cycle2iₘ/π ≈ 0.637 iₘ

Household supply in India is 220 V rms at 50 Hz, so the peak voltage is 220 × √2 ≈ 311 V. AC meters read rms values.

Pure Resistor, Inductor and Capacitor

CircuitOppositionPhase of currentAverage power
Pure resistorRIn phase with voltageI²R
Pure inductorXL = ωLLags voltage by π/2Zero
Pure capacitorXC = 1/ωCLeads voltage by π/2Zero

Because XC = 1/ωC, a capacitor blocks DC (ω = 0 gives infinite reactance) and lets high-frequency AC pass easily. An inductor does the opposite: XL rises with frequency.

The Series LCR Circuit

Impedance: Z = √[R² + (XL − XC)²]

Phase angle: tan φ = (XL − XC)/R

  • If XL > XC, the circuit is inductive and the current lags the voltage.
  • If XC > XL, the circuit is capacitive and the current leads the voltage.
  • The voltages across L and C are always π apart, so they partly cancel. That is why the voltage across L or C alone can be larger than the source voltage.

Resonance in an LCR Circuit

Resonance happens when XL = XC. Then:

QuantityAt resonance
Resonant angular frequencyω₀ = 1/√(LC)
Resonant frequencyf₀ = 1/(2π√(LC))
ImpedanceZ = R (minimum)
CurrentMaximum, I = V/R
Phase angleZero; current and voltage in phase
Power factor1
  • Resonance needs both L and C; an RL or RC circuit cannot resonate.
  • Quality factor: Q = ω₀L/R = 1/(ω₀CR). A higher Q means a sharper resonance.
  • Bandwidth: 2Δω = R/L, so Q = ω₀/(2Δω).
  • Resonant circuits are used in the tuning of radio and TV receivers.

Power and Power Factor

Average power: P = V I cos φ (rms values)

Power factor: cos φ = R/Z

CasePower factorPower
Pure resistor1Maximum, VI
Pure inductor or capacitor0Zero; the current is a wattless current
LCR at resonance1Maximum

Low power factor means large current for little useful power, so power companies add capacitors to raise the power factor in industrial circuits.

LC Oscillations

When a charged capacitor is connected to an inductor, charge oscillates at ω₀ = 1/√(LC). Energy moves back and forth between the capacitor’s electric field (q²/2C) and the inductor’s magnetic field (Li²/2), and the total stays constant if there is no resistance. The system is like a mass on a spring: L acts like mass, and 1/C acts like the spring constant.

Transformers

For an ideal transformer:

Vₛ/Vₚ = Nₛ/Nₚ = Iₚ/Iₛ

TypeTurnsVoltageCurrent
Step-upNₛ > NₚIncreasesDecreases
Step-downNₛ < NₚDecreasesIncreases

Energy losses and how they are reduced:

LossReduced by
Flux leakageWinding primary and secondary over each other
Resistance of windings (copper loss)Using thick copper wire
Eddy currentsA laminated iron core
HysteresisA soft iron core with low hysteresis loss

A transformer works only on AC, because it needs a changing magnetic flux.

Worked PYQ-Pattern Questions

Q1. The peak value of a 220 V rms AC supply is about: (a) 156 V (b) 220 V (c) 311 V (d) 440 V

Answer: (c) 311 V, because vₘ = 220 × √2.

Q2. In a series LCR circuit, R = 30 Ω, XL = 80 Ω and XC = 40 Ω. Find the impedance and power factor.

Z = √(30² + (80 − 40)²) = √(900 + 1600) = 50 Ω. Power factor = R/Z = 30/50.

Answer: Z = 50 Ω, power factor = 0.6.

Q3. Find the resonant frequency of an LCR circuit with L = 0.1 H and C = 10 µF.

ω₀ = 1/√(0.1 × 10 × 10⁻⁶) = 1/√(10⁻⁶) = 1000 rad/s, so f₀ = 1000/(2π).

Answer: About 159 Hz.

Q4. The current through a pure inductor is called wattless because:

Answer: The phase difference between current and voltage is π/2, so the power factor cos φ is zero and the average power is zero.

Q5. A transformer has 100 primary and 500 secondary turns. If the primary voltage is 220 V, what is the secondary voltage?

Vₛ = 220 × (500/100).

Answer: 1100 V, a step-up transformer. The secondary current is one-fifth of the primary current.

Q6. Why is the core of a transformer laminated?

Answer: To reduce eddy current losses.

Common Traps in This Chapter

  • Saying current leads voltage in an inductor (it lags)
  • Forgetting that a capacitor’s reactance falls as frequency rises
  • Saying an RC circuit can show resonance
  • Using peak values in P = VI cos φ (use rms values)
  • Calling the power factor of a pure inductor 1 (it is 0)
  • Saying a transformer works on DC

Practise Every Alternating Current PYQ

This alternating current NEET PYQ analysis shows you where the marks are. Solving real past questions makes the formulas automatic. Every Alternating Current previous year question is available chapter-wise, free:

👉 Solve all Alternating Current NEET PYQs

Keep the formula tables beside you for the first round, then solve the second round without them.

Conclusion

Alternating Current rewards practice more than reading. Use this alternating current NEET PYQ analysis to master rms values, reactance and phase, LCR impedance, resonance, power factor and transformers. Then solve the past numericals until each one takes under a minute.

❓ FAQ

Q: How many questions come from Alternating Current in NEET? A: Usually one to two questions a year, mostly numericals on LCR circuits, resonance and power factor.

Q: What is the most important topic in Alternating Current for NEET? A: The series LCR circuit, especially impedance and resonance, followed by power factor and transformers.

Q: What happens at resonance in a series LCR circuit? A: XL equals XC, the impedance is minimum (equal to R), the current is maximum, and the power factor is 1.

Q: What is wattless current? A: Current in a purely inductive or purely capacitive circuit, where the phase difference is π/2, so no average power is used.

Q: Why does a capacitor block DC? A: Its reactance is 1/ωC. For DC, ω = 0, so the reactance is infinite and no steady current flows.

Q: Where can I practise Alternating Current NEET PYQs for free? A: You can solve every Alternating Current previous year question chapter-wise for free using the practice links in this article.

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