State any two factors on which the resistance of a cylindrical conductor depends. Compare the resistance of a conductor of length l and area of cross section a with that of another conductor of same materal but of length and area of cross section half and double respectively of the former.

Open in App

Solution

Two factors on which the resistance of a cylindrical conductor depends are:
1. Radius of the cylindrical conductor.
2. Length of the cylindrical conductor.
Suppose for wire of length L and area of cross-section A and resistivity Ï has resistance R.
And, the wire of length L^/ = L/2 and area of cross-section A^/ = 2A and resistivity Ï has resistance R^/.
Now, R^/ = ÏL^//A^/ = Ï(L/2)/(2A)
=> R^/ = R/4

Suggest Corrections

Similar questions

Q. A cylindrical conductor of length L and uniform area of cross-section A has resistance R. Another conductor of length

2 L

and resistance

R

of the same material has an area of cross-section:

Q. The length and area of cross-section of a conductor are doubled, its resistance is

How does the resistance of conductor depend on:
(a) length of the contuctor?
(b) area of cross -section of hte conductor?
(c) temperature of the conductor

Q. Assertion :The resistance of a conductor decreases with increase in cross-sectional area. Reason: On increasing the cross-sectional area of a conductor, more current will flow through the conductor.

Join BYJU'S Learning Program