As shown in the diagram, an electric circuit consisting of an ammeter, a voltmeter, 4 cells of 1·5 V each, a…
As shown in the diagram, an electric circuit consisting of an ammeter, a voltmeter, 4 cells of 1·5 V each, a plug key with a gap XY was set up. Voltmeter and ammeter readings were recorded in the observation table for four arrangements as given below :
Arrangement No. 1 – only resistor R1 in gap XY
Arrangement No. 2 – only resistor R2 in gap XY
Arrangement No. 3 – Resistors R1 and R2 in series in gap XY
Arrangement No. 4 – Resistors R1 and R2 in parallel in gap XY
Based on the observations, four V – I graphs A, B, C and D as shown in figure were drawn. Study these graphs.
(a) Which one of the graphs represents the series combination of R1 and R2 ?
(b) Which one of these graphs represents the parallel combination of R1 and R2 ?
(c) (i) Show an arrangement of three resistors, each of resistance 10 Ω, so that the combination has a resistance of 15 Ω. Give justification for your answer.
Solution
(a) Graph A
(b) Graph D
(c) (i) [diagram: two 10 Ohm resistors in parallel, in series with a third 10 Ohm resistor]
R = R1R2/(R1+R2) + R3
R = (10 × 10/(10+10) + 10) Ohm = 5 Ohm + 10 Ohm = 15 Ohm