P 5.2-1 The circuit shown in Figure P 5.2-1a has been divided into two parts. The circuit shown in Figure P 5.2-1b was obtained by simplifying the part to the right of the terminals using source transformations. The part of the circuit to the left of the terminals was not changed.

(a) Determine the values of R_t and v_t in Figure P 5.2-1b.

(b) Determine the values of the current i and the voltage v in Figure P 5.2-1b. The circuit in Figure P 5.2-1b is equivalent to the circuit in Figure P 5.2-1a. Consequently, the current i and the voltage v in Figure P 5.2-1a have the same values as do the current i and the voltage v in Figure P 5.2-1b.

(c) Determine the value of the current i_a in Figure P 5.2-1a.

Figure P 5.2-1

(a) Determine the values of R_t and v_t in Figure P 5.2-1b.

First transform

To

or

Combine back into circuit we get

Which can be simplified to

or

Now do another source transformation and we get

This can be simplified to

Do one final source transformation and the full circuit looks like

From this it is obvious that

And

(b) Determine the values of the current i and the voltage v in Figure P 5.2-1b. The circuit in Figure P 5.2-1b is equivalent to the circuit in Figure P 5.2-1a. Consequently, the current i and the voltage v in Figure P 5.2-1a have the same values as do the current i and the voltage v in Figure P 5.2-1b.

Do a voltage walk about the last circuit. Start below 9 V source and go clockwise

We can find v from the voltage walk

(c) Determine the value of the current i_a in Figure P 5.2-1a.

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This page last updated on February 16, 2019