A step-down transformer is used for recharging portable batteries. The turns rat

Question

A step-down transformer is used for recharging portable batteries. The turns ratio for a particular transformer is 10:1, with the primary coil of the transformer being connected to the household circuit (with rms value of 120 Volts) and the secondary coil connected to the rechargeable battery, which draws an mis current of 0.150 Amps. What is the rms output voltage of the secondary coil of the transformer? What is the power delivered to the rechargeable battery by the secondary coil? An extension cord with a resistance of 0.240 Ohm connects the household plug socket to the transformer for the rechargeable battery. What is the average power dissipated by the extension cord?

Explanation / Answer

Np /Ns = 10/1

Vp = 120 volts

Vs = rms output voltage

using the formula

Vp/Vs = Np/Ns

120/Vs = 10/1

Vs = 12 volts

b)

power delivered = is vs = 0.15 x 12 = 1.8 watt

c)

Np /Ns = is/ip

10/1 = 0.15/ip

ip = 0.015

P = power dissipated = ip2 R = 0.0152 (0.24) = 0.000054 watt

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