We appreciate your visit to Q4 In the circuit shown in the figure the power supply voltage 6 volts the length of the wire AB 100 cm If the point. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
Internal resistance of the unknown battery in the circuit is '60 ohms'. The 'temperature coefficient of resistance' for copper is around '0.00103/°C'.
Explanation:
The first part of the question pertains to the unknown internal resistance 'r' in an electric circuit. This can be determined using Ohm's law. If the point on wire AB is halfway, the potential difference is zero and when it shifts to 40cm, the current increases. This means the resistance of battery (r) corresponds to this 10cm. As the voltage supplied by the external battery (6 volts) and the measured current (0.1A) are known, we can apply Ohm's law: V = IR , r = V/I = 6/0.1 = 60 ohms. Hence, the internal resistance of the unknown battery is 60 ohms.
The second part of the question deals with the temperature coefficient of resistance for copper. This coefficient (a) is defined as the change in resistance per degree change in temperature. It is calculated as a = ∆R/(R0∆T), where ∆R is the change in resistance, R0 is the original resistance and ∆T is the change in temperature. Given the resistance at two different temperatures, we can find it: a = ΔR / (R0ΔT)=(100.2-0)/(100.2*(100-(-234.5))) = 0.00103/°C.
Learn more about Resistance and Temperature Coefficient here:
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