A transformer with 600 turns in the Primary coil is connected to a 120 v AC sour

Question

A transformer with 600 turns in the Primary coil is connected to a 120 v AC source. If the transformer is to have three (3) separate secondary coils that needs to give 2.5 v, 6.0 v, 450 v, then how many should each coil have? A 50 ohm resistor is connected in series with a 0.2 H inductor, a 40 mu F capacitor, and an AC generator yielding 120 v (RMS) at 60 Hz. Find the inductive reactance, XL, the capacitive reactance, XC, the total reactance (XL + XC) the impedance, Z, and the current in the circuit, Two capacitors of 40 mu F each are in series with one another and then this combination is connected across an inductor of 5 mu F find the frequency and period of the resonant circuit.

Explanation / Answer

1)

for Np = 600

Vp = 120 V

a) for Vs = 2.5 V

as Ns/Np = Vs/Vp

Ns/600 = 2.5/120

Ns= 12.5

the number of coils is 12.5

b) Vs = 6 V

as Ns/Np = Vs/Vp

Ns/600 = 6/120

Ns = 30

the number of turns is 30

c)

for Vs = 450 V

as Ns/Np = Vs/Vp

Ns/600 = 450/120

Ns = 2250

the number of turns is 2250

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