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  • I have a doubt, kindly clarify. When the key K is pressed at time t=0 . Which of the following statements about the current i in the resistor AB of the adjoining circuit is true

When the key K is pressed at time t=0  . Which of the following statements about the current i in the resistor AB of the adjoining circuit is true

  • Option 1)

    i=2mA at all

  • Option 2)

    oscillates between 1mA and 2mA

  • Option 3)

     i = 1mA at all t

  • Option 4)

    At t = 0, i = 2mA and with time it goes to 1mA

 

Answers (1)

best_answer

As we have learned

Potential Difference -

V=V_{0}\left ( 1-e^{\frac{-t}{Rc}} \right )

-

 

 At  whole current passes through capacitance; so effective resistance of circuit is 1000\Omega  and current i=2/1000=2*10^{-3}A=2mA . After sufficient time, steady state is reached; then there is no current in capacitor branch; so effective resistance of circuit is 1000+1000=2000\Omega   and current  i=2/2000= 1*10^{-3}A=1mA i.e., current is2mA  at t=0 and with time it goes to  1mA. 

 


Option 1)

i=2mA at all

Option 2)

oscillates between 1mA and 2mA

Option 3)

 i = 1mA at all t

Option 4)

At t = 0, i = 2mA and with time it goes to 1mA

Posted by

prateek

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