D Question 5 10.5 pts In the following circuit use the 10 V battery to guess the

Question

D Question 5 10.5 pts In the following circuit use the 10 V battery to guess the initial direction of current flow and label current I as the current through the 5 0hm resistor, current l, as the current through the 15 Ohm resistor, and current l2 as the current through the 20 Ohm resistor. What are three equations which can be used to determine the three currents? 5 Ohms 20 Ohms 10 V s Ohms 3 Ohms 30 V O -10V-1(8 Ohms)-1(15 Ohms) -0 -50 V-1(20 Ohms) +1(15 Ohms) 0 1-1+ 12 +30V-1(8 Ohms)-11(15 Ohms)-0 50 V-1,120 Ohms) + 11(15 Ohms) 0 1-11 +12 +30 V-I(8 Ohms)-11(15 Ohms)-0 -50 V- 1120 Ohms)+1,(15 Ohms) -o 1-11-12 0 +30 V-i(8 Ohms)-1115 Ohms)- -50 V - 1420 Ohms) -1(15 Ohms)- o

Explanation / Answer

direction of current flow in 10V battery is in upward direction

-5*I + 20 -(15*I1)-(3*I) +10 = 0

8*I + 15I1 = 30

and

-20*I2 - 30 + 15*I1-20 = 0
15*I1 - 20*I2 = 50

and

I = I1 + I2

hence

second option from top is the right answer

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