The temperature dependence of the resistance of a non-linear resistor is investigated in a laboratory having constant ambient temperature T0=20°C As the temperature is raised to T1=100°C, the resistance changes abruptly from R1=50Ω to R2=100Ω. On cooling the reverse abrupt change from 100Ω to 50Ω takes place at T2 = 90°C. When a voltage V = 80 volt is applied to the resistor, a periodically varying current is established in the circuit after some time. Assume Newton’s law of cooling is applicable to the resistor, the proportionality constant being d = 1.2 JK−1s−1. The heat capacity of the resistor is c = 3 J/K. Now answer the following question.

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The temperature dependence of the resistance of a non-linear resistor is investigated in a laboratory having constant ambient temperature $T_{0} = 20 ° C$ As the temperature is raised to $T_{1} = 100 ° C$ , the resistance changes abruptly from $R_{1} = 50 Ω$ to $R_{2} = 100 Ω$ . On cooling the reverse abrupt change from $100 Ω to 50 Ω$ takes place at T₂ = 90°C. When a voltage V = 80 volt is applied to the resistor, a periodically varying current is established in the circuit after some time. Assume Newton’s law of cooling is applicable to the resistor, the proportionality constant being d = 1.2 ${JK}^{- 1} s^{- 1}$ . The heat capacity of the resistor is c = 3 J/K. Now answer the following question.

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