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Why does the value of R in an electric circuit changes when is left on for a long time?

In general, the value of resistance in an electric circuit may change when it is left on for a long time due to several factors:

1. Temperature Effects: When an electric current passes through a resistor, it can generate heat, causing the temperature of the resistor to rise. This temperature increase can affect the resistance value of the resistor. Some materials have a positive temperature coefficient of resistance (PTC), meaning their resistance increases with temperature. Conversely, other materials have a negative temperature coefficient of resistance (NTC), where their resistance decreases with temperature.

2. Aging: Over time, electronic components can undergo aging and degradation, affecting their properties. Resistors are not immune to these effects. Prolonged operation, exposure to environmental factors, or other aging mechanisms can alter the physical characteristics of a resistor, impacting its resistance value.

3. Load Conditions: If the electric circuit experiences significant changes in load conditions, such as variations in voltage or current, the resistor may behave differently. Overloading the circuit beyond its intended operating range can stress the resistor and lead to permanent changes in its resistance value.

4. Environmental Factors: The surrounding environment can influence the resistance of a circuit. For example, high humidity or exposure to corrosive substances can affect the resistor's performance and alter its resistance over time.

Therefore, depending on the type of resistor and the specific conditions of the circuit, the resistance value may indeed change when the circuit is left on for an extended period. Manufacturers typically specify the stability and temperature characteristics of resistors to help engineers account for potential resistance variations in circuit designs.