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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Lectures in General Physics

7.8 Solution of some selected problems

Example 7.9

Two wires A and B of circular cross section are made of the same metal

and have equal length, but the resistance of wire A is three times

greater than that of wire B. What is the ratio of their cross-sectional

area? How do their radii compare?

Solution

Since R=ρL/A, the ratio of the resistance R A /R B =A A /A B . Hence, the ratio is

three times. That is, the area of wire B is three times that of B.

The radius of wire b is √3 times the radius of wire B.

Example 7.10

Two conductors of the same length and radius are connected across the

same potential difference. One conductor has twice the resistance of

the other. Which conductor will dissipate more power?

Solution

Since the power dissipated is given by P=V 2 /R, the conductor with the lower

resistance will dissipate more power.

Dr. Hazem Falah Sakeek

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