Analysis by Assumed Diode States Use the ideal-diode model to analyze the circuit shown in Figure 9.16(a). Start by assuming that D1 is off and D2 is on.

Question

Analysis by Assumed Diode States
Use the ideal-diode model to analyze the circuit shown in Figure 9.16(a). Start by assuming that [latex]D_1[/latex] is off and [latex]D_2[/latex] is on.

Accepted Answer

With [latex]D_1[/latex] off and [latex]D_2[/latex] on, the equivalent circuit is shown in Figure 9.16(b).
Solving results in [latex]i_{D2} = 0.5 ext{ mA}[/latex]. Since the current in [latex]D_2[/latex] is positive, our assumption that [latex]D_2[/latex] is on seems to be correct. However, continuing the solution of the circuit of Figure 9.16(b), we find that [latex]v_{D1} = +7 ext{ V}[/latex]. This is not consistent with the assumption that [latex]D_1[/latex] is off. Therefore, we must try another assumption.
This time, we assume that [latex]D_1[/latex] is on and [latex]D_2[/latex] is off. The equivalent circuit for these assumptions is shown in Figure 9.16(c). We can solve this circuit to find that [latex]i_{D1} = 1 ext{ mA and }v_{D2} = -3 ext{ V}[/latex]. These values are consistent with the assumptions about the diodes ([latex]D_1[/latex] on and [latex]D_2[/latex] off) and, therefore, are correct.

Question 9.5: Analysis by Assumed Diode States Use the ideal-diode model t...

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