It doesn't say anything, it was a question from CAMBRIDGE IGCSEChestermiller said:
I have a feeling that the length decreases right?ChemAir said:
Kevin J said:
Kevin J said:
I does in fact mention the length. It states the volume of the putty remains constant as the diameter is increased by twice. For that to be true, the length must also change. Remember that resistance is approximated from resistivity and is inversely proportional to the cross-sectional area of the putty while also being proportional to the putty's length. If the length of the putty decreases while the area increases, the resistance will decrease by the seemingly "too large" factor shown above. Hope this helps.Kevin J said:
Resistance is the measure of how much a material or object resists the flow of electricity. It is measured in units called ohms (Ω).
A wire's diameter has a direct effect on its resistance. As the diameter of a wire increases, the resistance decreases and vice versa. This is because a thicker wire has more space for electrons to flow through, resulting in less resistance.
Yes, the resistance can be calculated if the diameter of a wire is doubled. The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area, which is determined by the wire's diameter. Therefore, doubling the diameter of a wire will result in a halving of its resistance.
The material of a wire also plays a significant role in its resistance. Materials with high conductivity, such as copper, have lower resistance compared to materials with lower conductivity, such as aluminum. This is because more free electrons are available to flow through a material with high conductivity, resulting in less resistance.
Yes, there is a limit to how much a wire's diameter can be increased to reduce its resistance. While increasing the diameter will decrease the resistance, there comes a point where further increases in diameter will not have a significant impact on the resistance. This is because the wire's length also plays a role in determining resistance, and increasing the diameter alone cannot compensate for an excessively long wire.
