P3.4-19. The input to the circuit shown in Figure P3.4-19 is the current source current I_s. The output is the current i_o. The output of this circuit is proportion to the input, that is

Figure P 3.4-19.

First we need to combine the 4 resistors on the right side of the circuit to get an equivalent circuit. The two parallel resistors can be replaced by , that means the equivalent resistor is 2.5 R or

Now do current division to get i₁

Now return to original circuit and the current now gets divided. But since the two branches have equal resistance, the current is split in half.

Which means

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This page last updated on January 19, 2019