Input and Output graphs with capacitor

In summary, there is a debate in a class about the output waveform for a circuit. Some argue that the output will always be zero, while others say it depends on the frequency of the input signal and the circuit's RC time constant. The assertion that the output will always be zero due to the ground connection is deemed unfounded.
  • #1
sandy.bridge
798
1

Homework Statement



Hello all, there has been some debate in my class as to the output waveform for the following circuit:
no.jpg


Others say that the output will always be zero.
 
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  • #2
I forgot to say that I am really looking for someone to say whether the output in the graph is right, or if it would indeed be zero.
 
  • #3
The output won't be always zero. How closely the output resembles what you've drawn will depend upon the frequency with which the input signal alternates from + to - and back, compared to the circuit's RC time constant.
 
  • #4
The other individuals argued that since the ground is connected near the bottom of the resistor, the output voltage, which is in the far right corner, would always be zero.
 
  • #5
sandy.bridge said:
The other individuals argued that since the ground is connected near the bottom of the resistor, the output voltage, which is in the far right corner, would always be zero.

That's not an argument, it's an unfounded assertion :smile:
 

1. What is an input and output graph with capacitor?

An input and output graph with capacitor is a graph that shows the relationship between the input voltage and the output voltage of a circuit that contains a capacitor. It is used to analyze the behavior of the capacitor in the circuit.

2. How is the input and output graph affected by the capacitance of the capacitor?

The capacitance of the capacitor directly affects the slope of the input and output graph. A larger capacitance means a smaller slope, indicating a slower change in the output voltage for a given change in the input voltage.

3. What is the significance of the time constant in an input and output graph with capacitor?

The time constant, represented by the symbol τ, is the product of the resistance and capacitance in the circuit. It determines the rate at which the capacitor charges and discharges, and thus plays a crucial role in shaping the input and output graph.

4. How does the input and output graph change when a resistor is added in parallel with the capacitor?

Adding a resistor in parallel with the capacitor changes the time constant of the circuit, which in turn affects the slope of the input and output graph. A smaller time constant leads to a steeper slope, indicating a faster change in the output voltage for a given change in the input voltage.

5. Can the input and output graph with capacitor be used to predict the behavior of a circuit in real-life scenarios?

Yes, the input and output graph with capacitor can be used to predict the behavior of a circuit in real-life scenarios. It provides valuable insights into how the capacitor will respond to changes in the input voltage, and can help in designing and troubleshooting circuits. However, it is important to note that other factors such as circuit complexity and external influences may also impact the actual behavior of the circuit.

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