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A resistor of 1KΩ and an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)
  • a)
    The current flowing in the circuit at t = 15μsec is 3.8 mA
  • b)
    The current flowing in the circuit at t = 15 μsec is 4 mA
  • c)
    The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.
  • d)
    The heat dissipated through the resister during the first 15 μsec is 6.4x1010J
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
A resistor of 1KΩand an inductor of 5mH are connected in series ...

When the switch is closed at t = 0. The circuit acts as charging R - L circuit. Instantaneous current flowing through the circuit can be given as

i0 → steady state current
Putting t = 15 x 10-6 sec, L = 5 x 10-3 H and R = R = 1KΩ

Again, heat dissipated through the resistor during first t second is

Putting t = 15 μsec, we will get 
H = 12.799 x 10-10 J
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Most Upvoted Answer
A resistor of 1KΩand an inductor of 5mH are connected in series ...
A resistor with a value of 1K refers to a resistor with a resistance of 1 kilo-ohm, which is equivalent to 1000 ohms. The letter "K" represents the symbol for kilo, which denotes a unit of measurement equal to 1000. Therefore, a resistor labeled as 1K has a resistance value of 1000 ohms.
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A resistor of 1KΩand an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)a)The current flowing in the circuit at t = 15μsec is 3.8 mAb)The current flowing in the circuit at t = 15 μsecis 4 mAc)The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.d)The heat dissipated through the resister during the first 15 μsec is 6.4x1010JCorrect answer is option 'A,C'. Can you explain this answer?
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A resistor of 1KΩand an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)a)The current flowing in the circuit at t = 15μsec is 3.8 mAb)The current flowing in the circuit at t = 15 μsecis 4 mAc)The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.d)The heat dissipated through the resister during the first 15 μsec is 6.4x1010JCorrect answer is option 'A,C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A resistor of 1KΩand an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)a)The current flowing in the circuit at t = 15μsec is 3.8 mAb)The current flowing in the circuit at t = 15 μsecis 4 mAc)The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.d)The heat dissipated through the resister during the first 15 μsec is 6.4x1010JCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A resistor of 1KΩand an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)a)The current flowing in the circuit at t = 15μsec is 3.8 mAb)The current flowing in the circuit at t = 15 μsecis 4 mAc)The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.d)The heat dissipated through the resister during the first 15 μsec is 6.4x1010JCorrect answer is option 'A,C'. Can you explain this answer?.
Solutions for A resistor of 1KΩand an inductor of 5mH are connected in series with a battery of emf 4v through a switch. The switch is closed at time t = 0. (use e3 = 20)a)The current flowing in the circuit at t = 15μsec is 3.8 mAb)The current flowing in the circuit at t = 15 μsecis 4 mAc)The heat dissipated through the resister during the first 15μsec is 12.8 x 10-10J.d)The heat dissipated through the resister during the first 15 μsec is 6.4x1010JCorrect answer is option 'A,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
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