Question

P9.67, Sketch the transfer characteristic (v, versus if in) for the circuit shown in Figure P9.67 carefully labeling the brea

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Answer #1

While the diode is reverse biased, let the voltage at node 1 be V1

The equivalent circuit is given by

1.2 k? 3 k 2 kf SV HH

Since the segment of the circuit with the 5 V source is detached from the output due to the ideal diode being reverse biased, vin = v0

Applying KCL at node 1,

5-V1 — И и 2к З

10 2V13V{

5V110V

V15V

When vin > 2 V the ideal diode becomes forward biased. The equivalent circuit is given by:

1.2 k? 3 kn SV 2 kfn H

Using the superposition theorem to find the voltage due to vin at node 1, with the diode forward biased, we short the 5 V circuit (below figure).

1.2 k? 3 kn 2 kfn

The equivalent resistance of 2k || 3k = 2kx3k/(2k+3k) = 6k2/5k = 1.2k

From voltage division principle, the voltage at node 1 = vin x (1.2k/(1.2k + 1.2k)) = vin/2

Therefore, the relation between v0 and vin are:

Vin2 V Vin/2 ,vin> 2 V Vin

The range of vin is : -5 V < vin < 5 V

Following is the sketch of v0 vs vin

st C un n <---- (A) A

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