The rechargeable batteries for a laptop computer need a muchsmaller voltage than

Question

The rechargeable batteries for a laptop computer need a muchsmaller voltage than what a wall socket provides. Therefore, atransformer is plugged into the wall socket and produces thenecessary voltage for charging the batteries. The batteries arerated at 9.0 V, and a current of 232 mAis used to charge them. The wall socket provides a voltage of120 V.
(a) Determine the turns ratio of the transformer. (b) What is the current coming from the wallsocket?
(c) Find the average power delivered by the wallsocket and the average power sent to the batteries. The rechargeable batteries for a laptop computer need a muchsmaller voltage than what a wall socket provides. Therefore, atransformer is plugged into the wall socket and produces thenecessary voltage for charging the batteries. The batteries arerated at 9.0 V, and a current of 232 mAis used to charge them. The wall socket provides a voltage of120 V.
(a) Determine the turns ratio of the transformer. (b) What is the current coming from the wallsocket?
(c) Find the average power delivered by the wallsocket and the average power sent to the batteries.

Explanation / Answer

(a) Ns / Np = Vs / Vp = 120V / 9.0V = 13.33˜13 (b) Vs / Vp = Ip / Is       ==> Is = Vp Ip / Vs                  = 9 * 231 x 10-3 / 120                  = 17.325 mA (c) Pavg = IsVs = 17.325 * 120 = 2079 W

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