Question

You and a group of friends are on a day trip to a nearby national park. After a fun-filled day of fishing and boating, you are ready to head back home when you find that your car battery is dead. Your friend offers to use his car's battery and jumper cables to charge yours. The connections are shown in the two diagrams below. The internal resistance of your car battery is rd 3.78 ? that of your friend's battery is n o 01 and that of the starter is rs o.?The ive battery has a voltage of 120?nd the dead battery in your car has a voltage of 10.0 V. What are the currents through the starter and the dead battery? (Enter your answer for Is to at least one decimal place.) Is- Id- EL live battery dead batte Es starter gnition switch

Answer 1

Given that let current through live battery be I and through dead battery be i_1. Through starter: - it will be (I - i_1) \r\n by K.L.L voltage v = 12 v in the live battery voltage v = 10 v in the dead battery 12 - 10 = 0.01 I + 3.78 i_1 2 = 0.01 I + 3.78 i_1 -(1) 12 = 0.01 I + 0.06(I - i_1) 12 = 0.01 I + 0.06 I - 0.06 i_1 12 = 0.07 I - 0.06 i_1 -(2) by solving equation (1) and (2) 2 = 0.01[12 + 0.06 i_1]/0.07 + 3.78 i_1 2 = 12/7 + 0.06 i_1/7 + 3.78 i_1 2 - 12/7 = 3.18857 i_1 1.7 = 3.18857 i_1 \r\n i_1 = 2.18857/1.7 i_1 = 0.53A by solving (1) 2 = 0.01 I + 3.78(0.53) 2 = 0.01 I + 2.0034 2 = 0.01 I + 2.0034 I = 30.46A I = 30.46 i_1 = 0.53A I - i_1 = 29.92 i_s = I - i_1