In the circuit of Fig. 1.27. Vi(t) and V0(t) are voltages (at time t) and R1 and

Question

In the circuit of Fig. 1.27. Vi(t) and V0(t) are voltages (at time t) and R1 and R2 are resistors. There is also an ideal diode that acts as a short circuit when Vi, is positive and as an open circuit when vi is negative. We view Vi and V0 as the system input and output, respectively. Determine an input-output description of this system. Is this system linear? Is it time-varying or time-invariant? Is it causal? Explain your answers.

Explanation / Answer

a) When Vi(t) > 0, Vo(t) = Vi(t)*R2/(R1+R2), When Vi(t) < 0, Vo(t) = 0 b) The system is linear as output is directly proportional related to the input. It is time-varying as the output is dependent on time. It is causal because the output value is dependent on the input at the present value.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.