How is resistance resistivity length and cross sectional area related?
How is resistance resistivity length and cross sectional area related?
The resistance R of a cylinder of length L and cross-sectional area A is R=ρLA R = ρ L A , where ρ is the resistivity of the material. Values of ρ in Table 1 show that materials fall into three groups—conductors, semiconductors, and insulators.
What is the formula for resistivity?
Resistivity, commonly symbolized by the Greek letter rho, ρ, is quantitatively equal to the resistance R of a specimen such as a wire, multiplied by its cross-sectional area A, and divided by its length l; ρ = RA/l. The unit of resistance is the ohm.
How do you find length from area and resistance?
Conductor resistance increases with increased length and decreases with increased cross-sectional area, all other factors being equal. Specific Resistance (”ρ”) is a property of any conductive material, a figure used to determine the end-to-end resistance of a conductor given length and area in this formula: R = ρl/A.
What happens to resistance when area of cross section is doubled?
On increasing the area of cross-section, resistance decreases. This is because resistance is inversely proportional to area.
What is the new resistance?
Therefore, the new resistance is 8 times than that of the old resistance. If the length of the conductor is doubled then the resistance would increase by 8 times. Since length becomes 2l and the cross-sectional area becomes 14th. Hence, almost the new resistance of the conductor increases by 4 times.
What will be the resistance if length is halved?
The answer :If the length of the wire is halved, it’s resistance also gets halved. Reason: Resistance is directly proportional to length of the conductor . Hope it was helpful.
When the length of the conductor is doubled then the resistance will be?
From this relation, we observe that the length is directly proportional to the resistance and the area of cross section is inversely proportional to the resistance. . So, R = 2R’. Hence, If the length of a wire is doubled, then its resistance becomes 2 times.
What would be new resistance if the length of conductor is doubled and thickness is halved?
R’ = 4 * original resistance . hence , the new resistance comes out to be = 4 times of original resistance .
What happens to resistance of a conductor if length is reduced to half?
Since resistance is directly proportional to the length of the conductor, hence, in this case the resistance will decrease to half.
What happens to resistance when length of conductor is doubled without affecting the thickness of conductor?
what happens to the resistance when length of conductor is doubled without affecting the thickness of conductor? R = ρl/A. According to this relation, resistance is directly proportional to length of the conductor. Hence, when length is doubled, the resistance will also get doubled.
What will happen to the resistance of a conductor if its temperature is decreased?
Answer. The specific resistance of a conductor is directly proportional to temperature. It means that if the temperature increases then resistance also increase and if the temperature decreases than resistance also get decreases..