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Current-voltage characteristics of two elements A and B are as shown. [fig. (a) and (b)] Which of the following graphs represents currentvoltage characteristics for their series combination ?

Option: 1


Option: 2


Option: 3


Option: 4


Answers (1)

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In element A, the resistance remains constant upto the potential drop of 10 V. Further increase in the voltage does not increase this current (which is constant at 1 A). This means that the ratio V/R_{A} = constant and this resistance RA increases linearly with voltage. In element B, the resistance decreases gradually upto 15 V and afterwards the resistance RBincreases linearly with voltage. When both A and B are in series, the current in the circuit will increase nonlinearly upto 1 A when the total voltage drop across A and B becomes 10 + 15 = 25 V.

Further increase in this voltage does not bring about any change in the current as shown in solution (C). The voltage drop across A will go on increasing while that across B remains fixed at 15 V. Hence (c) is correct.

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