A transformer is needed to step down a high - voltage, low - current input to a

Question

A transformer is needed to step down a high - voltage, low - current input to a low - voltage, high - current output. The secondary voltage must not exceed 750 volts and the primary current must not exceed 0.12 amperes. If the power is to be 700 watts, what is the smallest possible ratio of turns (primary to secondary) in the transformer? 9) An ac series circuit consists of a voltage source of frequency f = 60 Hz and voltage amplitude V, a resistor of resistance R = 441 ohm, and a capacitor of capacitance C = 5.0 times 10^-6 F. What must the source voltage amplitude V be for the average electrical power consumed in the resistor to be 104 watts? There is no inductance in the circuit.

Explanation / Answer

8. P = V I

700 watt = Vp x 0.12 A

Vp = 5833.33 volt

Vs = 750 Volt

Np / Ns = Vp / Vs

Np / Ns = 70 / 9 .........Ans

9. Xc = 1 / (2 pi f C) = 1 / (2 x pi x 60 x 5 x 10^-6)

Xc = 530.5 ohm

Z = sqrt[ R^2 + Xc^2] = 690 ohm

P = Irms^2 R

Irms = sqrt[ 104 / 441] = 0.486 A

I = Irms x sqrt(2) = 0.687 A

V = I Z = 473.87 Volt

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