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

ID: 1670788 • Letter: T

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 207 mA isused to charge them. The wall socket provides a voltage of 120V.
(a) Determine the turns ratio of thetransformer.
Ns Np

(b) What is the current coming from the wall socket?
Ip = (c) Find the average power delivered by thewall socket and the average power sent to the batteries.
Pp = Ps = Enter anumber. (a) Determine the turns ratio of thetransformer.
Ns Np

(b) What is the current coming from the wall socket?
Ip = (c) Find the average power delivered by thewall socket and the average power sent to the batteries.
Pp = Ps = Enter anumber. Ns Np

Explanation / Answer

                        =   9.0/ 120 = 0.075
     Current from the wallsocket   IP  =   0.075 * IS                                                          =   0.075* 207 mA                                                     = 15.5mA
                                                         =   0.075* 207 mA                                                     = 15.5mA

   c.   Power delivered by wallsocket   PP   =   VP* IP                                                                   =   120* 15.5 * 10-3                                                                = 1.863W
        Power supplied to thebattery   PS   =   VS* IS                                                                =   9.0* 207* 10-3                                                               = 1.863 W                                                               = 1.863 W
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