1.26 The voltage and current at the terminals of an auto mobile batte.pdf

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1.26 The voltage and current at the terminals of an auto mobile battery during a charge cycle are shown in Fig. P1.26. a) Calculate the total charge transferred to the battery. b) Calculate the total energy transferred to the battery. c) Find the total energy delivered to the element. Solution i=dq/dt so charge=integration of i*dt =area under the current-time curve answer=16*12+0.5*12*(24-16)+0.5*(16-12)*16=272 kC Q2.total energy transferred=integration of power *dt power=voltage*current so first we have to find the function for power. as current is non-zero till t=16,we have take into account only upto this period of time for 0.

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