Table of Contents
- 1 Does a wire twice as long have twice the resistance?
- 2 What will the resistance be in a replacement wire that is twice the length and one half the cross sectional area of the original wire?
- 3 How would the resistance of two wires compare if one was twice as long as the other?
- 4 Why does a longer wire have more resistance?
- 5 What will be the change in resistance if the length of a wire is doubled and its cross section is also doubled?
- 6 What factors affect the resistance of a wire?
- 7 Which is more resistance a thicker wire or a thinner wire?
- 8 What happens when the magnetic flux through a wire changes?
Does a wire twice as long have twice the resistance?
As a wire gets longer its resistance increases, and as it gets thinner its resistance also increases because its cross sectional area decreases. Doubling the length will double the resistance, but the wire also must get thinner as it is stretched, because it will contain the same amount of metal in twice the length.
What will the resistance be in a replacement wire that is twice the length and one half the cross sectional area of the original wire?
As the length of wire gets doubled, the cross-sectional area will become half of its previous value because volume of wire remains constant. Hence, we can see that the new resistance is four times the previous resistance.
What happens to the resistance of wire when its length is doubled?
So, the new resistance, after doubling the length of the wire, becomes twice of the original resistance. Hence, if the length of a wire is doubled, then its resistance becomes doubled. Note: Otherwise the change in the value of resistance will occur due to the change in the cross sectional area also.
How does the length of a wire affect resistance experiment?
This is because the free electrons in the wire bump into more atoms, thereby making it harder for electricity to flow. Furthermore, the resistance of a wire is directly proportional to the length and inversely proportional to the area, so doubling the length of a wire should increase the resistance by a factor of two.
How would the resistance of two wires compare if one was twice as long as the other?
If two copper wires are being considered, one of which is two times as long as the other, the resistivity of both is the same. The resistance of the wire with twice the length will be twice that of the other wire. But this not influence the resistivity of the wires; this is the same in both the cases.
Why does a longer wire have more resistance?
The moving electrons can collide with the ions in the metal. This makes it more difficult for the current to flow, and causes resistance. The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions as they pass through.
How do the resistances of two conducting wires compare if they have the same length but one is twice the radius of the other?
How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other? The thicker wire has twice the resistance of the thinner wire. 3. The thicker wire has one-fourth the resistance of the thinner wire.
What happens when resistance is doubled?
Answer. if resistance is doubled then the current would be halved as resistance is inversely proportional to the current flowing in a circuit. that is if the resistance is doubled the current would be halved.
What will be the change in resistance if the length of a wire is doubled and its cross section is also doubled?
Answer: As we know, Resistance is directly proportional to the length of the wire and inversely proportional to the area of cross-section of the wire. Hence, there will be no change in resistance.
What factors affect the resistance of a wire?
There are several factors that affect the resistance of a conductor;
- material, eg copper, has lower resistance than steel.
- length – longer wires have greater resistance.
- thickness – smaller diameter wires have greater resistance.
- temperature – heating a wire increases its resistance.
How does the voltage across various wires compare if their lengths are similar but their cross sectional areas are different?
How do the voltage across various wires compare if their lengths are similar but their cross sectional areas are different? The thicker the wire, the greater is the voltage across the wire. The thinner wire, the greater will be the voltage across the wire.
What is the change in resistance of wire when its length is?
Assuming the wire follows Ohm’s Law, the resistance of a wire is directly proportional to its length therefore doubling the length will double the resistance of the wire. However when the length of the wire is doubled, its cross-sectional area is halved.
Which is more resistance a thicker wire or a thinner wire?
A longer piece of wire has more resistance than a shorter piece of that same wire. A thicker piece of wire will have less resistance than a thin piece of that same wire that is the same length. What is the equation for the length and resistance of a wire?
What happens when the magnetic flux through a wire changes?
If the magnetic flux through a loop of wire changes for any reason either by changing the area, A, of the loop or the field, B, through the loop Then an EMF (voltage) will be induced in the wire. This voltage will cause a current to flow (the induced current in the loop).
How is the resistance of a cylinder related to its length?
The cylindrical resistor in Figure 1 is easy to analyze, and, by so doing, we can gain insight into the resistance of more complicated shapes. As you might expect, the cylinder’s electric resistance R is directly proportional to its length L, similar to the resistance of a pipe to fluid flow.