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CE The four conducting cylinders shown in Figure 21-27 are

Chapter 21, Problem 16P

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QUESTION:

The four conducting cylinders shown in Figure 21–27 are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I. Rank the four voltages, \(V_{1}=V_{2}, V_{3}, \text { and } V_{4}\), in order of increasing value. Indicate ties where appropriate.

Equation Transcription:

Text Transcription:

V_{1}=V_{2}, V_{3}, \text { and } V_{4}

Questions & Answers

QUESTION:

The four conducting cylinders shown in Figure 21–27 are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I. Rank the four voltages, \(V_{1}=V_{2}, V_{3}, \text { and } V_{4}\), in order of increasing value. Indicate ties where appropriate.

Equation Transcription:

Text Transcription:

V_{1}=V_{2}, V_{3}, \text { and } V_{4}

ANSWER:

Step 1 of 4

Here we need to rank the four voltages , , and  in the order of increasing value. This four voltages are supplied to four conducting cylinders made of same material but differ in their length and diameter. In the given case, the current through all the four cylinders is same.

According to Ohm’s law, we have

                                        

Since current is constant,

                                        ………..1

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