How Does Adding a Resistor Affect Capacitor Charging Time?

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SUMMARY

Adding a second resistor in series with a capacitor increases the time it takes for the capacitor to charge to a specific voltage. In the discussed scenario, a capacitor initially charges to 2V in 2 seconds with one resistor. Introducing an additional identical resistor results in a longer charging time due to reduced current flow, as the total resistance in the circuit increases. The voltage across the capacitor will always be lower at any finite time compared to the case with a single resistor, but it will eventually reach the supply voltage as the current approaches zero.

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HELP!Capacitors in circuit

Hey guys, I have a short question here. If a resistor and a capacitor are connected in a series, it takes 2 seconds for the capacitor to to have a voltage of 2V, what happen to the voltage across the original capacitor if another same resistor is added in series? The answer is that it takes longer time for the voltage to reach 2V. I don't quite understand here since I thought the second resistor is going to consume some voltage, so the voltage of the capacitor will drop.

Thanks
 
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Voltage can't be consumed. There is a voltage difference (or drop) across a resistor when current is flowing; the magnitude is proportional to the resistance and the current.

At any finite time, the voltage across the capacitor is always lower in the second case, as you intuited. Eventually, though, the capacitor charges up to essentially the full supply voltage, and the current (and the voltage drops across the resistors) is zero. Does this help in figuring things out?
 


101nancyma said:
Hey guys, I have a short question here. If a resistor and a capacitor are connected in a series, it takes 2 seconds for the capacitor to to have a voltage of 2V, what happen to the voltage across the original capacitor if another same resistor is added in series? The answer is that it takes longer time for the voltage to reach 2V. I don't quite understand here since I thought the second resistor is going to consume some voltage, so the voltage of the capacitor will drop.

Thanks

The higher the resistance the smaller the charging current and so the longer the time it takes for the capacitor to charge.As charging proceeds the voltage across the capacitor increases as the current and the voltage across the resistive part of the circuit decrease.
 

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