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A cell of emf E and internal resistance ...

A cell of emf E and internal resistance r is connected to two external resistance `R_(1) " and " R_(2)` and a perfect ammeter. The current in the circuit is measured in four different situations :
(i) without any external resistance in the circuit
(ii) with resistance `R_(1)` only
(iii) with `R_(1) " and " R_(2)` in series combination
(iv) with `R_(1) " and " R_(2)` in parallel combination
The currents measured in the four cases are 0.42A, 1.05 A, 1.4 A and 4.2 A, but not necessarily in that order. Identify the currents corresponding to the four cases mentioned above.

Text Solution

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The currents relating to corresponding situation are as follows :
(i) Without any external resistance in the circuit : the current in this case would be maximum, so I=4.2 A.
(ii) With resistance R, one only : The current in this case will be second smallest value, so, I=1.05A.
(iii) With `R_(1) " and " R_(2)` in series combination : - The current in this case will be minimum as the resistance will be maximum, so I=0.42 A.
(iv) With `R_(1) " and " R_(2)` in parallel combination- The current in this case would be the second largest value. so, I=1.4 A.
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