Pls answer fast and correctly Two conductors A and B of have their lengths in ratio 4 : 3, area of cross-section in ratio 1 : 2 and their resistivities in ratio 2 : 3. What will be the ratio of their resistances?
The ratio of the resistances of the two conductors is 16:9
Explanation:
Given:
The ratio of lengths of two conductors
The ratio of cross-sectional areas of two conductors
The ratio of resistivities of two conductors
To find out:
The ratio of resistances
Solution:
We know that
The relation between resistance length , cross-sectional area and specific resistance [/tex]\rho[/tex] of a conductor is given by
Thus,
For two conductors
And
Hope this answer is helpful.
Know More:
Q: The ratio of resistivity of two materials a and b is 1:2, ratio of their length is 3:4 and if the ratio of radii is 2:3 find the ratio of resistance of a and b.
Answers & Comments
Answer:
hope it is helpful to you
The ratio of the resistances of the two conductors is 16:9
Explanation:
Given:
The ratio of lengths of two conductors
The ratio of cross-sectional areas of two conductors
The ratio of resistivities of two conductors
To find out:
The ratio of resistances![\frac{R_1}{R_2} \frac{R_1}{R_2}](https://tex.z-dn.net/?f=%5Cfrac%7BR_1%7D%7BR_2%7D)
Solution:
We know that
The relation between resistance
length
, cross-sectional area
and specific resistance [/tex]\rho[/tex] of a conductor is given by
Thus,
For two conductors
And![R_2=\rho_2\frac{l_2}{A_2} R_2=\rho_2\frac{l_2}{A_2}](https://tex.z-dn.net/?f=R_2%3D%5Crho_2%5Cfrac%7Bl_2%7D%7BA_2%7D)
Hope this answer is helpful.
Know More:
Q: The ratio of resistivity of two materials a and b is 1:2, ratio of their length is 3:4 and if the ratio of radii is 2:3 find the ratio of resistance of a and b.
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