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One conductor is thrice as long and twice as thick as the second. What is the ratio of the power transformed in the first relative to the second?

2007-02-16 00:18:59 · 3 answers · asked by webogirl 2 in Science & Mathematics Physics

3 answers

Resistance of the first conductor is 3/2 times the second
Hence current flow through the first conductor is 2/3 times the second.
So is the power.
Note : thickness means area not diameter

2007-02-16 00:30:54 · answer #1 · answered by Harry 3 · 0 0

Power is V X I and I = V/R or power = V^2/R

Let us assume that the voltage is DC and hence the skin effect and power factor are to be ignored.

Now R depends upon the length and inversely proprotional to the area of cross section.

Twice as thick means the diameter and the radius is twice. area of cross section is four times. But length is 3 times, so the resistance is 3/4th of the first conductor.

Since all other factors remain same, the power is in the same ratio. In the first conductor it is 1, in the second it is 3/4th.

2007-02-16 00:30:53 · answer #2 · answered by Swamy 7 · 0 0

the correct answer is 2 because the resistance for (1) will be more because it is longer than (2) and so its ratio will be 2/1= 2

2016-08-23 02:22:57 · answer #3 · answered by Anonymous · 0 0

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