Table of Contents
- 1 What is resistance of connecting wire?
- 2 What happens to the resistance and resistivity of A wire in the following cases A wire is cut into two equal halves B wire is stretched to double its length?
- 3 What happens when a wire is stretched to half the resistance?
- 4 What is the resistance of a 10 ohm wire?
What is resistance of connecting wire?
The resistance of a connecting wire is defined as the ratio of potential difference across its ends to the electric current flowing through it.
What happens to the resistance and resistivity of A wire in the following cases A wire is cut into two equal halves B wire is stretched to double its length?
The resistance of the wire is equal to the product of resistivity of the material and length of the wire divided by the area of cross section. The volume of both wire is same. Hence, The new resistivity of the material of the wire is .
How the resistance of wire depends on its radius?
We know that the resistance of a wire is inversely proportional to the cross-sectional area of the wire. This means that the resistance of the wire and radius of the wire is inversely proportional to each other. Therefore, as the radius increases, the resistance of wire decreases.
What is the relationship between resistance and radius?
The resistance is inversely proportional to the square of the radius because that gives the electrons more metal to flow through with less resistance.
What happens when a wire is stretched to half the resistance?
Q “If a wire with a resistance of 10 ohms is stretched such that the radius of the wire becomes half, what is the new resistance?” In halving the radius of the wire, it’s cross-sectional area is just one quarter, which means the resistance per unit length is four times higher.
What is the resistance of a 10 ohm wire?
It has a resistance of 10 ohms so 1 ohm per metre. When stretched it would become (approximately) 10\% thinner, in cross sectional area, so now the resistivity is 1.1 ohms per metre. It is now 11 m long, so the resistance should be 12.1 ohm.
What is the volume when a wire is stretched 3 times?
Now we know that, volume = Mass/Density and since neither mass nor density has changed due to change in length, thus volume must remain constant. Thus, R2 = 9 *10= 90 Ohm. When the wire is stretchedto 3 times radius will be reduced by √3. Cross sectional area will be reduced 3 times.
What is the resistance of a cross sectional wire?
Cross sectional area will be reduced 3 times. Resistance will increase proportionally for the same length. is. 30 ohms for same original length and resistance for the 3 times the length will be 90 ohms. Resistivity will become 3 times the resistance (90/10) and 3 times the length. ie 27.
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