Awire is made from a material having a temperature coefficient of resistivity of 0.0003125 (°c^-1). in an experiment, we maintain a constant potential difference of 150 volts across the wire and measure the power dissipation in it as a function of temperature ; at a temperature of 20° c, the power dissipation is 300 watts. what is the (%) change in the power dissipation as the wire's temperature rises from 20°c to 1820°c?

The percentage change in the power dissipation as the wire's temperature rises from 20°C to 1820°C is 36%.

Explanation:

Given that,

Temperature coefficient of resistivity = 0.0003125

Potential difference = 150 V

Temperature = 20° C

Power = 300 watt

Wire's initial temperature = 20°C

Wire's final temperature = 1820°C

We need to calculate the resistance at 20°C

Using formula of power

Where, P = power

V = Potential difference

We need to calculate the resistance at 1820°C

Using formula of temperature of coefficient of resistivity

We need to calculate the power

Using formula of power

We need to calculate the percentage change in the power dissipation as the wire's temperature rises from 20°C to 1820°C

Hence, The percentage change in the power dissipation as the wire's temperature rises from 20°C to 1820°C is 36%.

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