This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Answer
R × C
The time constant (τ) of a capacitive circuit is a measure of how quickly a capacitor charges or discharges through a resistor. It is defined as:
τ = R × C
where:
The time constant indicates the time it takes for the voltage across the capacitor to reach approximately 63.2% of its maximum value during charging or to fall to about 36.8% during discharging.
For example, if R = 2 Ω and C = 3 F, then:
τ = 2 Ω × 3 F = 6 seconds
This means it takes 6 seconds for the capacitor to charge to about 63.2% of the maximum voltage.
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The time constant (τ) of a capacitive circuit is a measure of how quickly a capacitor charges or discharges through a resistor.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.