An ideal transformer has a primary coil with 250 turns and a secondary coil with

Question

An ideal transformer has a primary coil with 250 turns and a secondary coil with 1500 turns.

(a) Is the transformer a step-up or step-down transformer.

(b) If the primary side of the transformer is attached to the wall outlet with Vrms = 120 V, then what is the rms voltage across the secondary coil?

(c) If an average power of 750 W is provided to the device attached to the secondary coil, then what is the rms current in the secondary coil?

(d) What rms current in the primary coil?

(e) What is the average power provided to the primary coil.

Explanation / Answer

Given

N1 = 250

N2 = 1500

a) for N2 > N1 the transformer is step -up

b)

V1 / V2 = N1 / N2

120 / V2 = 250/1500

V2 = 720 V

c)

power P = V2 * Irms

Irms = 750/720

Irms = 1.04 A

d)

let I is the current in promary coil

N2 / N1 = I / Irms

1500/250 = I / 1.04

I = 6.25 A

e)

power in primary coil

P1 = V1 * I

P1 = 120 * 6.25

P1 = 750 W

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