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?
Table of Contents
- 1 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?
- 2 How would the resistance of two wires compare if one was twice as long as the other?
- 3 What happens to the resistance of a material when the length of the wire is doubled considering all other parameters are constant?
- 4 How do the resistances of two conducting wires compare if they have the same length but one is twice the radius of the other?
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.
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.
Which wire A or B has the largest diameter?
Since the cross-sectional area of a circular cross-section is given by the expression PI•R2, wire A must have one-half the radius of wire B and therefore one-half the diameter. Put another way, the diameter of wire B is two times greater than the diameter of wire A.
What is the relationship between the length of wire and the amount of resistance in the wire?
The relationship between resistance and wire length is proportional . The resistance of a thin wire is greater than the resistance of a thick wire because a thin wire has fewer electrons to carry the current.
What happens to the resistance of a material when the length of the wire is doubled considering all other parameters are constant?
Hence, if the length of a wire is doubled, then its resistance becomes doubled.
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 half the resistance of the thinner wire.
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.
When the length of a wire is doubled and all other factors remained the same what would the wire resistance become?
The new resistance of the wire becomes four times its old resistance.