The time in seconds for a capacitor to attain 63.2% of the applied voltage across its terminals is called:

The time in seconds for a capacitor to attain 63.2% of the applied voltage across its terminals is called:

• A. Twice the natural period of oscillation of the circuit
• B. Varactance
• C. Time constant
• D. Equal to the ohmic resistance of the circuit

Answer: (C)

The time it takes for a capacitor to reach 63.2% of the applied voltage across its terminals is known as the time constant, which is denoted by the symbol τ (tau). This characteristic time constant is derived from the relationship between the resistance (R) and the capacitance (C) in an RC (resistor-capacitor) circuit and is calculated using the formula τ = R × C. In practical terms, the time constant signifies how quickly a capacitor charges to a particular voltage level when a voltage is applied. Specifically, after a duration equal to the time constant, the capacitor will charge to approximately 63.2% of the maximum voltage that the circuit can provide. This significant percentage is a key feature of exponential charging and discharging behavior in capacitive circuits. Understanding the time constant is crucial for designing and analyzing circuits that involve capacitors, as it helps predict how fast the system will respond to changes in voltage. This concept is foundational in electronics, particularly in circuits that employ voltage regulation, filters, and timing applications.

The time it takes for a capacitor to reach 63.2% of the applied voltage across its terminals is known as the time constant, which is denoted by the symbol τ (tau). This characteristic time constant is derived from the relationship between the resistance (R) and the capacitance (C) in an RC (resistor-capacitor) circuit and is calculated using the formula τ = R × C.

In practical terms, the time constant signifies how quickly a capacitor charges to a particular voltage level when a voltage is applied. Specifically, after a duration equal to the time constant, the capacitor will charge to approximately 63.2% of the maximum voltage that the circuit can provide. This significant percentage is a key feature of exponential charging and discharging behavior in capacitive circuits.

Understanding the time constant is crucial for designing and analyzing circuits that involve capacitors, as it helps predict how fast the system will respond to changes in voltage. This concept is foundational in electronics, particularly in circuits that employ voltage regulation, filters, and timing applications.