In column I some circuits are given. In all the circuits except in (i), switch S remains closed for a long time and then it is opened at t=0; while for (i), the situation is reversed. Column II tells something about the quantities. Match the entries of column I with the entries of column II.
List I List II
A. Induced e.m.f can be greater than E
B. Induced e.m.f would be less than E
C. Finally energy stored in inductor is zero
D. Finally energy stored in the inductor is non zero.
| List I | List II |
| A. Induced e.m.f can be greater than E |
| B. Induced e.m.f would be less than E |
| C. Finally energy stored in inductor is zero |
| D. Finally energy stored in the inductor is non zero. |
Answer
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Hint: As a very first step, you could read the question well and hence understand the situation properly. Now, you could analyse each circuit one by one and hence find the required quantity as per the list II given on the side. Thereby, you will be able to do the matching easily.
Complete answer:
For first circuit in List I, current in the inductor present in the circuit when the switch is kept open is given by,
${{I}_{0}}=\dfrac{E}{R}$
We could say that initially the induced end is E and finally it becomes zero. Hence, the energy stored in the inductor would also be zero. So the first circuit matches C.
For the second circuit, the energy is lost through a resistor in the form of heat. Finally,
I become equal to 0 and so will the energy. The second circuit also matches C.
Now for the third circuit, the current suddenly becomes zero. Also, energy is dissipated in R and finally becomes zero. Along with this the flux change is also found to be very fast and hence the induced emf is found to be greater than E. So, the third circuit could be matched to A and C.
For the fourth circuit it's the same as the third circuit but as the switch is kept open, energy loss isn’t through Resistor.
Note:
So, basically in questions like this that involve matching two lists, one could deal with each option in the list one by one. This is done so as to avoid confusion. Also, what we require in solving this question is the basic idea of analysing a circuit. If you are good at it, it’s pretty much easy to solve.
Complete answer:
For first circuit in List I, current in the inductor present in the circuit when the switch is kept open is given by,
${{I}_{0}}=\dfrac{E}{R}$
We could say that initially the induced end is E and finally it becomes zero. Hence, the energy stored in the inductor would also be zero. So the first circuit matches C.
For the second circuit, the energy is lost through a resistor in the form of heat. Finally,
I become equal to 0 and so will the energy. The second circuit also matches C.
Now for the third circuit, the current suddenly becomes zero. Also, energy is dissipated in R and finally becomes zero. Along with this the flux change is also found to be very fast and hence the induced emf is found to be greater than E. So, the third circuit could be matched to A and C.
For the fourth circuit it's the same as the third circuit but as the switch is kept open, energy loss isn’t through Resistor.
Note:
So, basically in questions like this that involve matching two lists, one could deal with each option in the list one by one. This is done so as to avoid confusion. Also, what we require in solving this question is the basic idea of analysing a circuit. If you are good at it, it’s pretty much easy to solve.
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