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Class 12 Physics · Chapter 7 · NCERT (leph107)

Alternating Current: common misconceptions

See the tempting mistake students make in Alternating Current, why it feels right at first glance, and a worked visual example that shows the right idea.

The tempting mistake & worked visual

Can AC with zero average current still heat a resistor?

Wrong

A resistor on AC cannot heat because the current averages to zero.

Why it feels right. I assume positive and negative half cycles cancel their heating.

Right

Resistive heating depends on I²R, which is positive for nonzero current in either direction.

Worked example

The dashed current changes sign. The solid heating curve stays at or above zero in both half cycles.
  1. Through 2 Ω, the instantaneous currents +3 A and −3 A each produce 18 W.
  2. A sinusoid with peak current 3 A has root-mean-square current 3/√2 A and average power 9 W.

If your child says… (8 concept checks in this chapter)

As you work through Alternating Current, listen for these everyday misunderstandings and use the prompt alongside each one.

1. Sinusoidal current and rms values See how to teach this step →

If your child says… “The average current is zero, so there is no heating.”

Ask together
Does the power curve fall below zero when current reverses?
What’s true
Heating depends on the average squared current, which stays positive for a nonzero sine wave.
2. Ideal inductor See how to teach this step →

If your child says… “A higher frequency makes more current flow through the inductor.”

Ask together
If opposition doubles while voltage stays unchanged, what happens to current?
What’s true
Higher frequency increases inductive reactance when inductance stays fixed.
3. Ideal capacitor See how to teach this step →

If your child says… “A higher frequency makes less current flow through the capacitor.”

Ask together
Does changing the plate charge faster require more current or less?
What’s true
Higher frequency means faster voltage changes and more current at unchanged rms voltage and capacitance.
4. Series LCR impedance and phasors See how to teach this step →

If your child says… “I can add all three voltage readings to get the source voltage.”

Ask together
If equal coil and capacitor arrows cancel, which arrow remains?
What’s true
Coil and capacitor voltages oppose each other, while resistor voltage differs by a quarter-cycle.
5. Series resonance and natural angular frequency See how to teach this step →

If your child says… “At resonance, nothing limits the current.”

Ask together
Which component still turns electrical energy into heat when the two voltage arrows cancel?
What’s true
Only the coil and capacitor effects cancel, leaving the resistor to limit current.
6. Average power, wattless current and power factor See how to teach this step →

If your child says… “Voltage times current always gives average power.”

Ask together
For an ideal coil, can rms voltage times rms current equal its zero average power?
What’s true
Multiplying rms voltage by rms current gives average power only when power factor is one.
7. Ideal transformer See how to teach this step →

If your child says… “A transformer doubles voltage and current together.”

Ask together
Would doubling both voltage and current leave their product unchanged?
What’s true
For unchanged power and a resistive load, doubling voltage halves current.
8. Transmission losses See how to teach this step →

If your child says… “Halving the current only halves the heating.”

Ask together
What happens when both factors in current times current are halved?
What’s true
At fixed resistance, halving current quarters heating because current is squared.

Use this chapter three ways