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A carbon resistor having a temperature coefficient of resistivity of $-0.00050\left(\mathrm{C}^{\circ}\right)^{-1},$ is to be used as a thermometer. On a winter day when the temperature is $4.0^{\circ} \mathrm{C},$ the resistance of the carbon resistor is 217.3$\Omega .$ What is the temperature on a spring day when the resistance is 215.8$\Omega ?$ (Take the reference temperature $T_{0}$ to be $4.0^{\circ} \mathrm{C.}$ .

$T=17.80 \mathrm{C}^{\circ}$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

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Lectures

10:31

A capacitor is a passive two-terminal electrical component that stores electrical energy in an electric field. The effect of a capacitor is known as capacitance. The electrical charge stored in a capacitor is proportional to the potential difference between its terminals. A capacitor is defined as an electrical component that can store an electric charge. The effect of a capacitor is known as capacitance. The charge on a capacitor is directly proportional to the potential difference across its terminals. The unit of capacitance in the International System of Units (SI) is the farad (F), defined as one coulomb per volt. In electrical engineering, a common symbol for capacitance is the lowercase Greek letter "rho" (?). The capacitance of a capacitor is also expressed in farads.

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

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Now we are given for a carbon resistor. Alfa it separated? Yes. 0.50 It's decreasing in words Now, on a winter day when our temperature was for the recent years, our resistance was going to be 217.3 omega. Now that you know this, we want to find out what is the temperature on a spring day when we found that their assistance was instead 100. 200. We want to find out what the assistant will be. Temperature was when the resistance was 215 eight. Now we simply use our angel formula. Artie, is acquittal are not aunts want list? You minus Tina. But only we know Artie and are not. And we need to find a key, so we should be troubled. Units around we sent are not over here and in the minds. One we had Artie by are not This one is equal. Alpha times T minus Tina. Excuse us. T minus. Tina is Artie by Are not minus one by Alfa. Now that you know Artie are not another We confined this. Our Aarti is 215.8. You are they are not is 217.3 minus one divided by minus 0.5 Now, before we go ahead, note that our temperature coefficient is negative, which means as temperature increases, they expect their assistants to decrease, which is what you see here. That instance decreases, which means we expect to see a larger temperature here. Now, this number when you plug in tow, calculator down. So Toby, 13 point ache and the units will be like Listen, Celcius because its temperature. Because, you know, Tina, it is four degrees Celsius. We have he is 13.8 degrees Celsius bestie, not which is four degrees since years. And we have the temperature off this spring day just 17.8 degrees Celsius. In fact, this is how almost all thermometers work. I'm sorry. This is how many terms we just work the electrical tamami, just especially

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