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Consider a rectangular block of metal of height A, width

Chapter 21, Problem 23P

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QUESTION:

Consider a rectangular block of metal of height A, width B, and length C, as shown in Figure 21–28. If a potential difference V is maintained between the two \(A X B \) faces of the block, a current \(I_{A B}\) is observed to flow. Find the current that flows if the same potential difference V is applied between the two \(B X C\) faces of the block. Give your answer in terms of \(I_{A B}\).

Equation Transcription:

     

     

   

 

Text Transcription:

A X B      

IAB      

B X C  

IAB  

Questions & Answers

QUESTION:

Consider a rectangular block of metal of height A, width B, and length C, as shown in Figure 21–28. If a potential difference V is maintained between the two \(A X B \) faces of the block, a current \(I_{A B}\) is observed to flow. Find the current that flows if the same potential difference V is applied between the two \(B X C\) faces of the block. Give your answer in terms of \(I_{A B}\).

Equation Transcription:

     

     

   

 

Text Transcription:

A X B      

IAB      

B X C  

IAB  

ANSWER:

Step 1 of 3

Here we need to find the current flowing through the two  faces of the block.

When a potential difference is applied across the faces , we have the resistance and applied voltage as,

Resistance is given by,

                                        

Where  is the resistivity of the metal.

Using ohm’s law we have,

                                        

Combining above equations,

                                         ……..1

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