a) Using Kirchhoff\'s rules, calculate the current in R 1 with the directions in

Question

a) Using Kirchhoff's rules, calculate the current in R1 with the directions indicated in the figure below.

Assume that R1 = 4.00 k?, R2 = 5.00 k?, R3 = 6.00 k?, E1 = 70.0 V, E2 = 60.0 V and E3 = 75.0 V.
NOTE : If the current points in the opposite direction indicated, please use a negative sign.

b) Calculate the current in R2.

c) Calculate the current in R3.

d) Calculate the magnitude of the potential difference between points c and f.

Using Kirchhoff's rules, calculate the current in R1 with the directions indicated in the figure below. Assume that R1 = 4.00 k?, R2 = 5.00 k?, R3 = 6.00 k?, E1 = 70.0 V, E2 = 60.0 V and E3 = 75.0 V. NOTE : If the current points in the opposite direction indicated, please use a negative sign. Calculate the current in R2. Calculate the current in R3. Calculate the magnitude of the potential difference between points c and f.

Explanation / Answer

At node f:

I2 = I3 + I1

Thus, I3 = I2 - I1

In the loop afce:

I1(4) + I2(5) - 60 + 70 = 0

4I1 + 5I2 = -10

In the loop abde:

-I1(4) - 70 + (I2 - I1)(6) + 75 = 0

10I1 - 6I2 = 5

Solving both equations:

24I1 + 30I2 + 50I1 - 30I2 = -60 + 25

74I1 = -35

I1 = -0.47 A

I2 = (-10 - 4I1)/5 = -1.62 A

I3 = I2 - I1 = -1.15 A

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