How long will it take for a 50 µf capacitor to fully charge if it is in a series circuit with a 100 kω resistor?

Answer : The time taken for a 50 µF capacitor to fully charge if it is in a series circuit with a 100 KΩ resistor is, 0.5 seconds.

Explanation :

RC time constant is the time constant (in seconds). It is equal to the product of the circuit resistance (in ohms) and the circuit capacitance (in farads).

The formula will be:

where,

= time constant = ?

R = resistance = 100 KΩ = 100000 Ω

Conversion used : (1 KΩ = 1000 Ω)

C = capacitance = 50 μF = 50 × 10⁻⁶ F

Conversion used : (1 μF = 10⁻⁶ F)

Now put all the given values in the above formula, we get:

Thus, the time taken for a 50 µF capacitor to fully charge if it is in a series circuit with a 100 KΩ resistor is, 0.5 seconds.