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In the shown circuit involving a resistor of resistance R W, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0 second the key is pushed to position 2 for t0 = RC seconds and then key is pushed back to position 1 for t0 = RC seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.
Q. The charge on capacitor at t = 2RC second is 
  • a)
    CE
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the shown circuit involving a resistor of resistance R W, capacitor...
For t = 0 to t0 = RC seconds, the circuit is of charging type. The charging equation for this time is

Therefore the charge on capacitor at time t0 = RC is q0 
For t = RC to t = 2RC seconds, the circuit is of discharging type. The charge and current equation for this time are
 and  
Hence charge at t = 2 RC and current at t = 1.5 RC are

and 
Since the capacitor gets more charged up from t = 2RC to t = 3RC than in the interval  t = 0 to t = RC, the graph representing the charge variation is as shown in figure 
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Most Upvoted Answer
In the shown circuit involving a resistor of resistance R W, capacitor...
For t = 0 to t0 = RC seconds, the circuit is of charging type. The charging equation for this time is

Therefore the charge on capacitor at time t0 = RC is q0 
For t = RC to t = 2RC seconds, the circuit is of discharging type. The charge and current equation for this time are
 and  
Hence charge at t = 2 RC and current at t = 1.5 RC are

and 
Since the capacitor gets more charged up from t = 2RC to t = 3RC than in the interval  t = 0 to t = RC, the graph representing the charge variation is as shown in figure 
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Community Answer
In the shown circuit involving a resistor of resistance R W, capacitor...
For t = 0 to t0 = RC seconds, the circuit is of charging type. The charging equation for this time is

Therefore the charge on capacitor at time t0 = RC is q0 
For t = RC to t = 2RC seconds, the circuit is of discharging type. The charge and current equation for this time are
 and  
Hence charge at t = 2 RC and current at t = 1.5 RC are

and 
Since the capacitor gets more charged up from t = 2RC to t = 3RC than in the interval  t = 0 to t = RC, the graph representing the charge variation is as shown in figure 
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In the shown circuit involving a resistor of resistance R W, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0 second the key is pushed to position 2 for t0 = RC seconds and then key is pushed back to position 1 for t0 = RC seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.Q.The charge on capacitor at t = 2RC second isa)CEb)c)d)Correct answer is option 'C'. Can you explain this answer?
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In the shown circuit involving a resistor of resistance R W, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0 second the key is pushed to position 2 for t0 = RC seconds and then key is pushed back to position 1 for t0 = RC seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.Q.The charge on capacitor at t = 2RC second isa)CEb)c)d)Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the shown circuit involving a resistor of resistance R W, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0 second the key is pushed to position 2 for t0 = RC seconds and then key is pushed back to position 1 for t0 = RC seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.Q.The charge on capacitor at t = 2RC second isa)CEb)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the shown circuit involving a resistor of resistance R W, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0 second the key is pushed to position 2 for t0 = RC seconds and then key is pushed back to position 1 for t0 = RC seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.Q.The charge on capacitor at t = 2RC second isa)CEb)c)d)Correct answer is option 'C'. Can you explain this answer?.
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