Question 2.SP.15: The circuit of Fig. 2-32 adds a dc level (a bias voltage) to......

The circuit of Fig. 2-32 adds a dc level (a bias voltage) to a signal whose average value is zero. If v_S is a 10-V square wave of period T,  R_L = R_1 = 10  Ω, and the diode is ideal, find the average value of v_L.

2.32
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For v_L > 0,  D is forward-biased and v_L = v_S = 10  \text{V}. For v_L < 0,  D is reverse-biased and

v_L = \frac{R_L}{R_L  +  R_1}v_s = \frac{10}{10  +  10}(-10) = -5  \text{V}

Thus,              V_{L0} = \frac{10(T/2)  +  (-5) (T/2)}{T} = 2.5  \text{V}

For some symmetrical input signals, this type of circuit could destroy the symmetry of the input.

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