The rechargeable batteries for a laptop computer need a much smaller voltage tha

Question

The rechargeable batteries for a laptop computer need a much smaller voltage than what a wall socket provides. Therefore, a transformer is plugged into the wall socket a produces the necessary voltage for charging the batteries. The batteries are rated at 9.0 V. and a current of 262 mA is used to charge them. The wall socket provides a voltage of 120 V. (a) Determine the turns ratio of the transformer. N_s/N_p = (b) What is the current coming from the wall socket? (c) Find the average power delivered by the wall socket and the average power sent to the batteries. P_p = P_s =

Explanation / Answer

Given Data

Socket voltage Vp = 120 Volt

Battery voltage V s = 9 V

Current   Is = 262 mA = 0.262 A

Solution :-

We know Truns ratio of the transformer Ns/Np = Vs/Vp

                                                                   = 9/120

                                                                   = 0.075

(b).we know Ip/Is = Ns/Np

From this current coming from wall sacket Ip = (Ns/Np ) *Is

                                                                = 0.075 * 0.262

                                                                = 19.65 mA = 19.65 * 10 ^ -3 A

(c) Average power delivered by the wall sacket P = Vp*Ip

                                                                       = 19.65 * 10 ^ -3 A * 120

                                                                       = 2.36 W

Average power sent to he batteries P ‘ = Vs*Is

                                                        = 9*0.262

                                                        = 2.36 W

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