Resistance in a circuit will delay the charging time of a capacitor. Is this statement true or false?

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The statement that resistance in a circuit will delay the charging time of a capacitor is true. This is based on the fundamental principles of how capacitors charge in a resistive circuit.

When a voltage is applied to a capacitor through a resistor, the charging process is not instant. The time it takes for the capacitor to reach a certain voltage level is influenced by both the resistance and the capacitance in the circuit. This relationship is governed by the time constant, which is calculated as the product of resistance (R) and capacitance (C), often denoted as τ (tau). The time constant determines how quickly the voltage across the capacitor rises to about 63% of the supply voltage during the charging phase.

A higher resistance increases the time constant, thereby slowing the charging process. In contrast, a lower resistance allows the capacitor to charge more quickly. Therefore, the presence of resistance in the circuit directly affects the time it takes for the capacitor to charge, validating the statement as true.

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