# Solve for Node Voltage; Write KCL and KVL Equations

** Please see the attached graph for further illustration **

Please help with the given questions:

a. Using KCL write an equation for the currents I4, I5, I6 at the node point N.

b. Express the KCL equation in step above in terms of VRIR and VnIR

c. Write a KVL equation for the loop containing V4, VR5, and VR6

d. Write a KVL equation for the loop containing V1, VR4 and VR6

e. Specify VR4 and VR5 in terms of VN and the known values of V4 and V5

f. Using the values for VR4 and VR5, from the step above 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 of VR4 and VR5

i. Calculate the currents I4, I5, and I6

j. Rewrite the KVL loop equation for both inner loop using actual voltage values.

k. Based on the actual values for I4, I5 and I6 write the KCL equation for the currents at the node point N.

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#### Solution Summary

This solution provides a detailed, step-by-step explanation to the given physics problem in an attached PDF file.