Jumper cables are connected from a fresh battery in one car to charge a dead bat
ID: 1577764 • Letter: J
Question
Jumper cables are connected from a fresh battery in one car to charge a dead battery in another car. The figure below shows the circuit diagram for this situation. While the cables are connected the ignition switch of the car with the dead battery is closed and the starter is activated to start the engine. (Let R = 0.950 and Rs = 0.07 .) 0.012 i Starter 12 V 12 V Live battery Dead battery Ignition switch (a) Determine the current in the starter A downward (b) Determine the current in the dead battery A upward (c) Is the dead battery being charged while the starter is operating? O Yes O No O There is not enough information.Explanation / Answer
I1+I2=I3…………….…………………eq1
12 – 0.01I2 + 0.95I1 – 12 = 0
I1 = (0.01/0.95)I2…….……………..………eq2
12 – 0.95I1 – 0.07I3 = 0
0.95I1 + 0.07I3 = 12……………..……………..eq3
by solving for I2
0.01052632I2 + I2 = I3…………….……………eq4
and
0.01I2 + 0.07I3 = 12……………..……………..eq5
by solving eq4 and eq5
0.01I2 + 0.07(0.01052632I2 + I2) = 12……………..……………..eq5
0.01I2 + 0.07073684I2 =12
I2 = 148.63 A
(a)
I3 = 1.010526321*148.63
I3 = 150.2 A upward
(b)
I1 = (0.01/0.95)*148.63
I1 = 1.56 A downward
(c)
No, dead battery is not charging
current in the branch with the dead battery is upward, it is offering a small amount of power to starter.
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