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Chapter 23, Problem 99PP

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QUESTION:

A car drives onto a loop detector and increases the downward component of the magnetic field within the loop from \(1.2 \times 10^{-5} T \text { to } 2.6 \times 10^{-5} T \text { in } 0.38 \mathrm{~s}\). What is the induced emf in the detector if it is circular, has a radius of 0.67 m, and consists of four loops of wire?

\(0.66 \times 10^{-4} \mathrm{~V}\)

     

      B. \(0.66 \times 10^{-4} \mathrm{~V}\)

   

      C.  \(2.1 \times 10^{-4} \mathrm{~V}\)        

      D. \(6.2 \times 10^{-4} \mathrm{~V}\)

Equation Transcription:

Text Transcription:

1.2 x 10^-5 T to 2.6 x 10^-5 T in 0.38 s

0.66 x 10^-4 V

0.66 x 10^-4 V

2.1 x 10^-4 V

6.2 x 10^-4 V

Questions & Answers

QUESTION:

A car drives onto a loop detector and increases the downward component of the magnetic field within the loop from \(1.2 \times 10^{-5} T \text { to } 2.6 \times 10^{-5} T \text { in } 0.38 \mathrm{~s}\). What is the induced emf in the detector if it is circular, has a radius of 0.67 m, and consists of four loops of wire?

\(0.66 \times 10^{-4} \mathrm{~V}\)

     

      B. \(0.66 \times 10^{-4} \mathrm{~V}\)

   

      C.  \(2.1 \times 10^{-4} \mathrm{~V}\)        

      D. \(6.2 \times 10^{-4} \mathrm{~V}\)

Equation Transcription:

Text Transcription:

1.2 x 10^-5 T to 2.6 x 10^-5 T in 0.38 s

0.66 x 10^-4 V

0.66 x 10^-4 V

2.1 x 10^-4 V

6.2 x 10^-4 V

ANSWER:

Solution 99PP

Step 1 of 3

We have to calculate the induced emf.

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