A capacitor of 10 micro farad stores a charge of 3.5C is set for discharging through a 100 kilo ohm resister, the charge on the capacitor after 1 second will be?

1 Answer
Apr 28, 2018

#1.29C#

Explanation:

The exponential decay of charge is given by:
#C=C_0e^(-t/(RC))#

  • #C# = charge after #t# seconds (#C#)
  • #C_0# = initial charge (#C#)
  • #t# = time passed (#s#)
  • #tau# = time constant (#OmegaF#), #tau= "resistance"*" capacitance"#

#C=3.5e^(-1/((100*10^3)(10*10^-6)))=3.5e^(-1/(1000*10^-3))=3.5e^-1~~1.29C#