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Cici2017
Homework Statement
Homework Equations
The Attempt at a Solution
Can someone tell me what formula to use? Is it p=RA/L? but what about the mass? Thanks~
p=m/V ,Dadface said:What can you infer about the volume of the smaller resistors compared to the volume of the larger resistor?
Cici2017 said:Can someone tell me what formula to use? Is it p=RA/L? but what about the mass? Thanks~
The formula for calculating the resistance of a cylindrical resistor is R = (ρ * L)/A, where R is the resistance in ohms, ρ is the resistivity of the material in ohm-meters, L is the length of the resistor in meters, and A is the cross-sectional area of the resistor in square meters.
The length and cross-sectional area of a cylindrical resistor have a direct relationship with its resistance. The longer the resistor, the higher the resistance, and the larger the cross-sectional area, the lower the resistance. This is because a longer resistor has more material for the current to flow through, increasing the resistance, while a larger cross-sectional area allows for more current to flow, decreasing the resistance.
The material of a cylindrical resistor plays a significant role in determining its resistance. Materials with high resistivity, such as ceramic or carbon, have higher resistance compared to materials with low resistivity, such as copper or silver. This is because the electrons in high resistivity materials have more difficulty moving, resulting in a higher resistance.
No, a cylindrical resistor cannot have a negative resistance. Resistance is a measure of how much a material impedes the flow of current, and it is always a positive value. Negative resistance would mean that the current increases as the voltage decreases, which goes against the basic principles of electricity.
The resistance of a cylindrical resistor can be measured using a multimeter. The multimeter will measure the voltage and current across the resistor and use Ohm's law (V = IR) to calculate the resistance. Another way to measure resistance is by using an ohmmeter, which directly measures the resistance without the need for calculating it.