P 4.3-7 Determine the values of the node voltages, v₁ and v₂, in Figure P 4.3-7. Determine the values of the currents i_a and i_b.

Figure P 4.3-7

Write our the node equations

Node v₁:

Node v₂:

Find common denominator and simplify

Now add the two equations

Current needs to be found in the two parallel branches.

The current ia is backwards with the direction shown so it will be negative and it is the sum of the two currents just found

Similarly we could find these two currents and i_a this way

The other current i_b is found from

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This page last updated on January 29, 2019