You and a group of friends are on a day trip to a nearby national park. After a
ID: 1534732 • Letter: Y
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 = 2.71 , that of your friend's battery is rL = 0.01 , and that of the starter is rS = 0.07 . The live battery has a voltage of 12.0 V and 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.)
I_s = __________ A
I_d = ___________ A
I_s = __________ A
I_d = ___________ A
live batte dead battery starter ignition switchExplanation / Answer
Use KVL in the lower loop,
Ed + Id*rd - Is*rs = 0
10 - Id*2.71 - Is*0.07 = 0 --------(1)
use KVL in upper loop
EL - IL*rL - Id*rd - Ed = 0
12 - IL*0.01 - 2.71*Id - 10 = 0 --------(2)
at the junction
IL = Id + Is --------(3)
on solving the above equation we get
Is = 133.4 A
Id = 0.0245 A
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