Ideal Transformer: Voltage, Current and Power Relations

Physics · Alternating Current · NEET

In an ideal transformer, no energy is lost, so power input equals power output: Vp × Ip = Vs × Is. The voltage ratio equals the turns ratio, Vs/Vp = Ns/Np, while the current ratio is inverted: Is/Ip = Np/Ns. Memory hook: "Voltage follows the turns, current does the opposite." If voltage goes up, current comes down by the same factor, so power stays the same.
Ideal Transformer: Vs/Vp = Ns/Np = Ip/Issoft-iron corePrimaryNp turnsVp, Ip~SecondaryNs turnsVs, IsLPower in = Power out: Vp x Ip = Vs x Is (frequency unchanged)
An ideal transformer: primary (Np turns) and secondary (Ns turns) share one iron core. Voltage scales with turns (Vs/Vp = Ns/Np), current scales inversely (Ip/Is = Ns/Np), and power in equals power out.

Your doubts, answered

If voltage steps up, why does the current step down instead of up?

Because energy cannot be created. An ideal transformer only transfers power, it does not add any. Power = Voltage × Current. If power in and power out are equal (ideal case) and the voltage on the secondary is larger, then the current on the secondary must be smaller to keep the product the same. So a step-up transformer gives high voltage but low current, and a step-down transformer gives low voltage but high current.

Is current directly proportional or inversely proportional to the number of turns?

Voltage is DIRECTLY proportional to turns: Vs/Vp = Ns/Np. Current is INVERSELY proportional to turns: Is/Ip = Np/Ns. Many students wrongly write Is/Ip = Ns/Np. Remember: the coil with more turns has more voltage but less current. Write all three ratios together so you never flip current: Vs/Vp = Ns/Np = Ip/Is.

How do I find the primary current when I only know the lamp's power and the mains voltage?

Use power conservation directly, you do not even need the turns. For an ideal transformer, primary power = secondary power = the device's power rating. So Ip = P / Vp. Example: a 44 W lamp on 220 V mains gives Ip = 44/220 = 0.2 A. The secondary voltage (11 V) is a distractor; ignore it for the primary current.

What does 'ideal' actually mean in an ideal transformer?

Ideal means 100% efficient with three assumptions: (i) the primary winding has zero resistance, (ii) all the magnetic flux made by the primary links the secondary (no leakage), and (iii) the core has no eddy-current or hysteresis loss. Under these, power input = power output exactly. Real transformers reach about 95% efficiency; the small gap is covered in the next concept, energy losses in a transformer.

Does the transformer change the frequency of the AC?

No. A transformer works by mutual induction driven by the changing flux of the same AC source. The secondary voltage oscillates at the SAME frequency as the primary (50 Hz in India). A transformer changes voltage and current magnitudes only, never the frequency. This is a common NEET trap.

⚠️ The NEET trap
Using Is/Ip = Ns/Np, so a step-up transformer that raises voltage also raises the secondary current.
Current is inverse to turns: Is/Ip = Np/Ns. A step-up transformer raises voltage but LOWERS secondary current, keeping power constant.
🧠 Turns ratio: voltage up means current down. Write Vs/Vp = Ns/Np = Ip/Is in one line so the current fraction is always flipped.

Real NEET questions

NEET 2021

A step down transformer connected to an ac mains supply of 220 V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?

A · 2 A
B · 4 A
C · 0.2 A
D · 0.4 A
Solution: For an ideal (lossless) transformer, power input = power output = lamp power = 44 W. On the primary side, P = Vp × Ip. So Ip = P / Vp = 44 / 220 = 0.2 A. The 11 V secondary value is a distractor and is not needed. Answer: 0.2 A (C).
NEET 2023

A 12 V, 60 W lamp is connected to secondary of step down transformer, whose primary is connected to ac mains of 220 V. Assuming the transformer to be ideal, what is the current in the primary winding?

A · 0.27 A
B · 2.7 A
C · 3.7 A
D · 0.37 A
Solution: Ideal transformer: power input = power output = 60 W. On the primary, P = Vp × Ip, so 220 × Ip = 60. Therefore Ip = 60 / 220 = 0.2727 ≈ 0.27 A. The 12 V secondary rating is a distractor. Answer: 0.27 A (A).
NEET 2024

In an ideal transformer, the turns ratio is N_p/N_s = 1/2. The ratio V_s : V_p is equal to (the symbols carry their usual meaning):

A · 2 : 1
B · 1 : 1
C · 1 : 4
D · 1 : 2
Solution: For an ideal transformer the voltage ratio equals the turns ratio: Vs/Vp = Ns/Np. Given Np/Ns = 1/2, we get Ns/Np = 2/1. So Vs : Vp = 2 : 1. Since the secondary has more turns, this is a step-up transformer. Answer: 2 : 1 (A).

Solved Alternating Current NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 27 Alternating Current NEET PYQs ›
Next concept: Energy Losses in a Transformer and How to Reduce ThemKeep learning — 2 minFeeling ready? Solve the Alternating Current NEET PYQs ›Or practice on your phone — get the free MedicNEET app ›

Frequently asked

What is the main formula for an ideal transformer?

Vs/Vp = Ns/Np = Ip/Is, together with Vp × Ip = Vs × Is (power in = power out). This single chain lets you find any voltage, current, or turns value if the others are known.

Why is power the same on both sides of an ideal transformer?

An ideal transformer has no losses (no winding resistance, no flux leakage, no eddy or hysteresis loss), so energy is conserved. All the power delivered to the primary appears at the secondary: Pp = Ps.

In a step-up transformer, what happens to voltage and current?

Voltage increases (Vs > Vp because Ns > Np) and current decreases (Is < Ip) by the same factor. This is why high-voltage, low-current transmission reduces I²R power loss in cables.

How do I quickly find the primary current from a device rating?

Ip = P / Vp, where P is the device's power rating and Vp is the mains (primary) voltage. This works because ideal power input equals the device power. The secondary voltage is not needed.

Does a transformer work with DC?

No. A transformer needs a changing magnetic flux, which only steady-changing AC provides. Steady DC gives constant flux, so no emf is induced in the secondary. Transformers work only with AC.