https://file.aiquickdraw.com/mathbot/file/17267184791320po7bh3r.jpg

Solve this question with sketch and easy.

The graphs above show the behavior of the circuit.

1. **Input Voltage vs. Output Voltage** (Top Graph):
   - The **input voltage** \( v_i(t) \) (blue) is a sine wave oscillating between +10V and -10V.
   - The **output voltage** \( v_o(t) \) (red, dashed) is clipped at 0.7V whenever the input voltage exceeds 0.7V. For values less than 0.7V or during the negative cycle, the output voltage remains 0V.

2. **Current through Resistor \( i_R(t) \)** (Bottom Graph):
   - The **current** \( i_R(t) \) (green) flows only when \( v_i(t) \) is greater than 0.7V. It increases proportionally with \( v_i(t) \), starting from 0.7V and peaks when \( v_i(t) \) is maximum, then drops back to zero as \( v_i(t) \) goes below 0.7V.

### Recap of key concepts:
- The output voltage is constant at 0.7V when the input is greater than 0.7V, and zero otherwise.
- The current \( i_R \) through the resistor flows only when the input is greater than 0.7V and is proportional to \( v_i(t) - 0.7V \).

Would you like more details or have any further questions?

### Related Questions:
1. What happens if the diode is replaced by a Zener diode?
2. How would the output change if the input voltage had a different peak value?
3. Can we calculate the power dissipated in the resistor during conduction?
4. How would the circuit behave if the input frequency was much higher?
5. What effect does changing the value of the resistor have on the current?

**Tip:** In circuits with diodes, always check if the input voltage is high enough to forward bias the diode. This determines if the diode conducts.

For the network of the figure below, sketch v_o and i_R.

This problem involves analyzing an AC diode-resistor circuit with a sinusoidal input, calculating output voltage and current, and sketching the waveforms. It covers the behavior of diodes in circuits, including forward voltage drop, and how the resistor's current responds to varying input voltages.

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