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**Question:** c. Would hooking an RC circuit up to a battery with twice as much voltage increase, decrease, or not change its time constant? **Explanation:** The time constant of an RC circuit is determined by the product of the resistance (R) and the capacitance (C) in the circuit, expressed as τ = R × C. The time constant is independent of the voltage supplied to the circuit. Therefore, doubling the voltage of the battery will not affect the time constant of the RC circuit. Increasing the voltage may affect the rate at which the capacitor charges or discharges relative to its maximum charge, but the time constant, which is a measure of how quickly this process occurs, remains the same. The time constant is solely dependent on the resistance and capacitance values.
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Transcribed Image Text:**Question:** c. Would hooking an RC circuit up to a battery with twice as much voltage increase, decrease, or not change its time constant? **Explanation:** The time constant of an RC circuit is determined by the product of the resistance (R) and the capacitance (C) in the circuit, expressed as τ = R × C. The time constant is independent of the voltage supplied to the circuit. Therefore, doubling the voltage of the battery will not affect the time constant of the RC circuit. Increasing the voltage may affect the rate at which the capacitor charges or discharges relative to its maximum charge, but the time constant, which is a measure of how quickly this process occurs, remains the same. The time constant is solely dependent on the resistance and capacitance values.
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