P 5.2-2 Consider the circuit of Figure P 5.2-2. Find i_a by simplifying the circuit (using source transformations) to a single-loop circuit so that you need to write only one KVL equation to find i_a.

Figure P 5.2-2

Let’s first do a source transformation of

to

Which can be rearranged to

Now the 8 Ω resistor is in series with the 4 Ω resistor giving us

Now we can do a source transformation on this and get

Now we have the 6 Ω resistor in parallel

This can be simplified to

Do a source transformation on this and the full circuit is now the single loop asked for

So do a voltage walk. Start below 10 V source and walk clockwise

Solve for

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This page last updated on February 16, 2019