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A cell of emf epsiand internal resistance r is connected to two external resistances, R_1 and R_2 and aperfect 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 0.42 A, 1.05 A, 1.4 A and 4.2 A, but not necessarily inthat order. Identify the currents corresponding to the four cases mentioned above

Answer»

Solution :The circuit resistance with SERIES COMBINATION of `R_1` and `R_2 GT`with resistance `R_1` or `R_2 gt`with parallel combination of `R_1` and `R_2 gt` without any EXTERNAL resistance.
From this we conclude that:
(i) Without any external resistance in the circuit the current should be 4.2 A.
(II) With resistance `R_1` only the current should be 1.05 A.
(iii) With `R_1` and `R_2` in series combination the current should be 0.42 A.
(iv) With `R_1` and `R_2` in parallel combination the current should be 1.4 A.


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