Your answer looks correct. If you round your answer to 2 significant figures, what answer do you get?prishila said:Homework Statement
The resistance of a bobbinin 0 grades celcius is 3.35 ohm. What is its resistance in 50 grades celcius? thermal constant=0.0037
Homework Equations
R1=R0[1+alpha(t-t0)]
The Attempt at a Solution
Using this formula
R1=3.35[1+0.0037(50-0)]=3.35*1.185=3.96975, but the answer in my book is 4.0 ohm. Should I find the resistance in 20 grade celcius and then at 50 grades celcius?
Sorry I corrected it, the answer in my book is 4.06 ohmberkeman said:Your answer looks correct. If you round your answer to 2 significant figures, what answer do you get?
Weird. I get the same answer as you do...prishila said:Sorry I corrected it, the answer in my book is 4.06 ohm
Temperature has a direct impact on the resistance of a material. As the temperature increases, the resistance of most materials also increases. This is due to the increased vibrations of the atoms in the material, which leads to more collisions and a higher resistance to the flow of electrons.
The formula for finding resistance at a specific temperature is Rt = R0[1 + α(Tt - T0)], where Rt is the resistance at the desired temperature, R0 is the resistance at 0°C, α is the temperature coefficient of the material, Tt is the desired temperature, and T0 is 0°C.
The temperature coefficient of a material can be found by dividing the change in resistance by the change in temperature (α = ΔR/ΔT). It is typically given in units of ohms per degree Celsius (Ω/°C).
Finding the resistance at a specific temperature is important in understanding the behavior of materials and their use in electrical circuits. It allows us to predict how a material will perform under different temperature conditions and ensure the proper functioning of electronic devices.
The resistance of a material directly affects the flow of electrons, which in turn affects the efficiency of electronic devices. As the resistance increases with temperature, it can lead to overheating and decreased efficiency in electronic components. Therefore, it is important to consider and account for the resistance at different temperatures in the design and use of electronic devices.