Answer to Question #266310 in Electric Circuits for Sherwin

Question

DETERMINE THE RESISTANCE OF A BUSBAR MADE OF COPPER IF THE LENGTH IS 5m LONG

AND THE CROSS-SECTION IS A 4X4𝑐m^2 . USE 1.7241 MICRO OHM-CM.

Answer 1

We have the parameters:

Resistance(R)= ?

Resistivity (ρ) =1.7241micro Ω-cm

Area(A) = $4*4cm²$

Length (L)= $5m$

The formula of resistance R is given by:

$R=\frac{ρL}{A}$

We convert resistivity from micro Ω-cm to micro Ω-m

$\frac{1.724}{100}=0.01724micro Ω-m$

We convert $4*4cm²$ to $m²$

$\frac{4*4}{10000}m²=0.0016m²$

Now, we substitute the parameters in the formula $R=\frac{ρL}{A}$

$R=\frac{0.017241*5}{0.0016}$

$R=\frac{0.086205}{0.0016}$

$R=53.878125Ω$

$R=53.88Ω(2.d.p)$