In the following, the oscilloscope shows that the voltage across C1 reaches approximately 6.9V after 700 ms and the voltage across C1 is nearly constant there after at 6.9V. What is the time constant of the circuit?
Question
In the following, the oscilloscope shows that the voltage across C1 reaches approximately 6.9V after 700 ms and the voltage across C1 is nearly constant there after at 6.9V. What is the time constant of the circuit?
Solution
The time constant (τ) of an RC (resistor-capacitor) circuit is given by the product of the resistance (R) and the capacitance (C). This is expressed by the formula:
τ = R * C
In an RC circuit, the time constant is the time it takes for the voltage across the capacitor to reach approximately 63.2% of its final value after a step change in voltage is applied to the circuit.
Given that the voltage across the capacitor reaches its final value of approximately 6.9V after 700 ms, we can infer that this is approximately 63.2% of the final value. Therefore, the time constant of the circuit is approximately 700 ms.
Please note that without the values of the resistance and capacitance, we cannot calculate the exact time constant. However, from the given information, we can infer that the time constant is approximately 700 ms.
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