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 ...
-
Find the indefinite integral $\displaystyle \int \sec^4 \left( \frac{x}{2} \right) dx$. Illustrate by graphing both the integrand and its an...
-
Determine $\displaystyle \frac{dy}{dx}$ of $y^5 + x^2y^3 = 1 + x^4 y$ by Implicit Differentiation. $\displaystyle \frac{d}{dx}(y^5) + ...
-
Determine the area of the region bounded by the hyperbola $9x^2 - 4y^2 = 36$ and the line $ x= 3$ By using vertical strips, Si...
-
Find the integral $\displaystyle \int^1_0 \frac{1}{\sqrt{16 t^2 + 1}} dt$ If we let $u = 4t$, then $du = 4dt$, so $\displaystyle dt = \frac{...
-
Determine the integral $\displaystyle \int \frac{\sin^3 (\sqrt{x})}{\sqrt{x}} dx$ Let $u = \sqrt{x}$, then $\displaystyle du = \frac{1}{2 \s...
-
Given y=cos(2x), y=0 x=0,x=pi/4 so the solid of revolution about x-axis is given as V = pi * int _a ^b [R(x)^2 -r(x)^2] dx here R(x) =cos(2x...
-
Anthony certainly cheats on Gloria. During the war, when he was stationed in South Carolina, he had an affair with a local girl by the name ...
No comments:
Post a Comment