. A 24-V battery is attached to a 3.0-mF capacitor and a 100-ohm resistor. If the capacitor is initially uncharged, what is the voltage across the capacitor 0.16 seconds after the circuit is connected to the battery

The  voltage is

Explanation:

From the question we are told that

     The voltage of the battery is  

     The capacitance of the capacitor is  

     The  resistance of the resistor is

     The time taken is    

Generally the voltage of a charging charging capacitor after time t is mathematically represented as

Here is the voltage of the capacitor when it is fully charged which in the case of this question is equivalent to the voltage of the battery so