CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Resistivity

If the length...

Question

If the length of a wire is halved and the cross-sectional area doubled, what will be the effect on resistance?

Open in App

Solution

Resistance is directly proportional to length and inversely proportional to the cross-sectional area. So if the length is halved and the cross-sectional area doubled, the resistance will become one-fourth of the original value.

Suggest Corrections

thumbs-up

51

Similar questions

Q. The resistance of a wire depends directly on the length of the wire and inversely as the cross-sectional area of the wire. If both the length and the diameter of the wire are halved, the percentage change in the resistance of the wire will be:

Q. A wire of length L and resistance R is stretched so that the length is doubled and area of cross section halved. How will (i) resistance change and (ii) resistivity change.

Q. A conducting wire has electric resistance

‘ R^{'}

. If the length of this wire and the area of the cross-section are halved, then what will be the new resistance of the wire?

Q. A conducting wire of length

l

, area of cross-section

A

and electrical resistivity

ρ

is connected between the terminals of a battery. A potential difference

V

is developed between its ends, causing an electric current. If the length of the wire is doubled and the area of cross-section is halved, the resultant current would be:

Q. If we double both the length and cross-sectional area of the wire, then its resistance will ____.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Resistivity_Tackle

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard X Physics

Join BYJU'S Learning Program

CrossIcon