The resistance of a conductor is computed using the formula:
R = rho * L/A
where
rho is the resistivity of the material
L is the length of the conductor, and
A is the cross-sectional area of the conductor.
For this problem, let the length of the conductor be y and its cross-sectional area be x. Applying the formula above, the resistance of the conductor will be:
R =rho * y/x
When the length and cross-sectional area of the conductor is doubled, the new resistance will be:
R_(n ew) = rho*(2y)/(2x)
And it simplifies to
R_(n ew) = rho * y/x
Notice that the R_new is the same with the original R.
Therefore, when the length and cross-sectional area of the conductor are increased by the same factor, there is no change in resistance.
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html
Saturday, June 9, 2018
If the area of a conductor doubled and also the length, what would be the change in the new resistance?
Subscribe to:
Post Comments (Atom)
Summarize the major research findings of "Toward an experimental ecology of human development."
Based on findings of prior research, the author, Bronfenbrenner proposes that methods for natural observation research have been applied in ...
-
One way to support this thesis is to explain how these great men changed the world. Indeed, Alexander the Great (356–323 BC) was the quintes...
-
At the most basic level, thunderstorms and blizzards are specific weather phenomena that occur most frequently within particular seasonal cl...
-
x=4cost y=2sint First, take the derivative of x and y with respect to t. dx/dt=-4sint dy/dt=2cost Then, determine the first derivative dy/dx...
-
Ethno-nationalism is defined as "advocacy of or support for the political interests of a particular ethnic group, especially its nation...
-
Both boys are very charismatic and use their charisma to persuade others to follow them. The key difference of course is that Ralph uses his...
-
Find the indefinite integral $\displaystyle \int \sec^4 \left( \frac{x}{2} \right) dx$. Illustrate by graphing both the integrand and its an...
-
The most basic attitude difference between Mr. Otis and Lord Canterville is their attitude toward the ghost. The attitude difference start...
No comments:
Post a Comment