Resistors and Ohm's Law Video Lessons

Video Thumbnail

Concept

Problem: A wire of length L and cross-sectional area A has resistance R.What will be the resistance Rstretched of the wire if it is stretched to twice its original length? Assume that the density and resistivity of the material do not change when the wire is stretched.

FREE Expert Solution

Resistance,

R=ρLA

ρ is the resistivity, L is the length and A is the cross-sectional area.

Constant density implies that V = AL is constant. 

Let the new length be L1 and area, A1.

AL=A1L1AL=A1(2L)A2=A1

85% (255 ratings)
View Complete Written Solution
Problem Details

A wire of length L and cross-sectional area A has resistance R.

What will be the resistance Rstretched of the wire if it is stretched to twice its original length? Assume that the density and resistivity of the material do not change when the wire is stretched.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Resistors and Ohm's Law concept. You can view video lessons to learn Resistors and Ohm's Law. Or if you need more Resistors and Ohm's Law practice, you can also practice Resistors and Ohm's Law practice problems.