Question

Figure 9-21 R1 = 4 ? R2 = 12 ? R3 = 3 ? V1 = 18 V V2 = 6 V N G I1 I2 I3 a. Using Kirchhoff's current law, write an equation for the currents I1, I2, and I3 at the node-point, N. b. Express the KCL equation in step a in terms of VR/R and VN/R. c. Write a KVL equation for the loop containing V1, VR1, and VR3. d. Write a KVL equation for the loop containing V2, VR2, and VR3. e. Specify VR1 and VR2 in terms of VN and the known values of V1 and V2. f. Using the values for VR1 and VR2 from step e, write a KCL equation for the currents at the node-point N. g. Solve for the node voltage, VN. h. Using the equations from step e, solve for the voltage drops VR1 and VR2. i. In Fig. 9-21, were all the assumed directions of current correct? How do you know? j. Calculate the currents I1, I2, and I3. k. Rewrite the KVL loop equation for both inner loops using actual voltage values. (Be sure that the resistor voltage drops all have the correct polarity based on the final answers for VR1 and VR2.) l. Based on the actual values for I1, I2, and I3, write a KCL equation for the currents at the node-point, N.

          Figure 9-21

R1 = 4 ?
R2 = 12 ?
R3 = 3 ?
V1 = 18 V
V2 = 6 V
N
G
I1
I2
I3

a. Using Kirchhoff's current law, write an equation for the currents I1, I2, and I3 at the node-point, N.
b. Express the KCL equation in step a in terms of VR/R and VN/R.
c. Write a KVL equation for the loop containing V1, VR1, and VR3.
d. Write a KVL equation for the loop containing V2, VR2, and VR3.
e. Specify VR1 and VR2 in terms of VN and the known values of V1 and V2.
f. Using the values for VR1 and VR2 from step e, write a KCL equation for the currents at the node-point N.
g. Solve for the node voltage, VN.
h. Using the equations from step e, solve for the voltage drops VR1 and VR2.
i. In Fig. 9-21, were all the assumed directions of current correct? How do you know?
j. Calculate the currents I1, I2, and I3.
k. Rewrite the KVL loop equation for both inner loops using actual voltage values. (Be sure that the resistor voltage drops all have the correct polarity based on the final answers for VR1 and VR2.)
l. Based on the actual values for I1, I2, and I3, write a KCL equation for the currents at the node-point, N.

Figure 9-21

R1 = 4 ?
R2 = 12 ?
R3 = 3 ?
V1 = 18 V
V2 = 6 V
N
G
I1
I2
I3

a. Using Kirchhoff's current law, write an equation for the currents I1, I2, and I3 at the node-point, N.
b. Express the KCL equation in step a in terms of VR/R and VN/R.
c. Write a KVL equation for the loop containing V1, VR1, and VR3.
d. Write a KVL equation for the loop containing V2, VR2, and VR3.
e. Specify VR1 and VR2 in terms of VN and the known values of V1 and V2.
f. Using the values for VR1 and VR2 from step e, write a KCL equation for the currents at the node-point N.
g. Solve for the node voltage, VN.
h. Using the equations from step e, solve for the voltage drops VR1 and VR2.
i. In Fig. 9-21, were all the assumed directions of current correct? How do you know?
j. Calculate the currents I1, I2, and I3.
k. Rewrite the KVL loop equation for both inner loops using actual voltage values. (Be sure that the resistor voltage drops all have the correct polarity based on the final answers for VR1 and VR2.)
l. Based on the actual values for I1, I2, and I3, write a KCL equation for the currents at the node-point, N.

Added by Rita H.

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