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lana66690 [7]
4 years ago
13

Compute the resistance in ohms of a silver block 10 cm long and 0.10 cm2 in cross-sectional area. ( = 1.63 x 10-6 ohm-cm)

Physics
1 answer:
Vedmedyk [2.9K]4 years ago
3 0
The resistance of the silver block is given by
R= \frac{\rho L}{A}
where
\rho=1.63 \cdot 10^{-6} \Omega \cdot cm is the silver resistivity
L=10 cm is the length of the block
A=0.10 cm^2 is the cross-sectional area of the block

If we plug the data into the equation, we find the resistance of the silver block:
R= \frac{(1.63 \cdot 10^{-6} \Omega \cdot cm)(10 cm)}{0.10 cm^2}=1.63 \cdot 10^{-4} \Omega
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Answer:

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Explanation:

The resistivity of copper\rho_1=2.65\times 10^{-8}\ \Omega-m

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The wires have same resistance per unit length.

The resistance of a wire is given by :

R=\rho \dfrac{l}{A}\\\\R=\rho \dfrac{l}{\pi (\dfrac{d}{2})^2}\\\\\dfrac{R}{l}=\rho \dfrac{1}{\pi (\dfrac{d}{2})^2}

According to given condition,

\rho_1 \dfrac{1}{\pi (\dfrac{d_1}{2})^2}=\rho_2 \dfrac{1}{\pi (\dfrac{d_2}{2})^2}\\\\\rho_1 \dfrac{1}{{d_1}^2}=\rho_2 \dfrac{1}{{d_2}^2}\\\\(\dfrac{d_2}{d_1})^2=\dfrac{\rho_1}{\rho_2}\\\\\dfrac{d_2}{d_1}=\sqrt{\dfrac{\rho_1}{\rho_2}}\\\\\dfrac{d_2}{d_1}=\sqrt{\dfrac{2.65\times 10^{-8}}{1.72\times 10^{-8}}}\\\\=1.24

So, the required ratio of the diameter of Aluminum to Copper wire is 1.24.

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Answer: The observing friend will the swimmer moving at a speed of 0.25 m/s.

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