A small, closely wound coil has N turns, area A, and resistance R. The coil is initially in a uniform magnetic field that has magnitude B and a direction perpendicular to the plane of the loop. The coil is then rapidly pulled out of the field so that the flux through the coil is reduced to zero in time At Part A What are the magnitude of the average emf Eay and average curent Iy induced in the coil? Express your answer in terms of the variables N, A. R. B, and At. ? Ear, Iav = Part B The total charge Q that flows through the coil is given by Q = IyAt. Derive an expression for Q in terms of N, A, B, and R. Note that Q does not depend on At. Express your answer in terms of the variables N, A, R, and B. Q =
A small, closely wound coil has N turns, area A, and resistance R. The coil is initially in a uniform magnetic field that has magnitude B and a direction perpendicular to the plane of the loop. The coil is then rapidly pulled out of the field so that the flux through the coil is reduced to zero in time At Part A What are the magnitude of the average emf Eay and average curent Iy induced in the coil? Express your answer in terms of the variables N, A. R. B, and At. ? Ear, Iav = Part B The total charge Q that flows through the coil is given by Q = IyAt. Derive an expression for Q in terms of N, A, B, and R. Note that Q does not depend on At. Express your answer in terms of the variables N, A, R, and B. Q =
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![**Educational Transcription:**
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A small, closely wound coil has \( N \) turns, area \( A \), and resistance \( R \). The coil is initially in a uniform magnetic field with magnitude \( B \) and a direction perpendicular to the plane of the loop. The coil is then rapidly pulled out of the field so that the flux through the coil is reduced to zero in time \( \Delta t \).
### Part A
**Question:** What are the magnitude of the average emf \( \mathcal{E}_{av} \) and average current \( I_{av} \) induced in the coil?
**Instruction:** Express your answer in terms of the variables \( N, A, R, B, \) and \( \Delta t \).
\[ \mathcal{E}_{av}, \ I_{av} = \text{(Expression Field)} \]
### Part B
**Question:** The total charge \( Q \) that flows through the coil is given by \( Q = I_{av} \Delta t \). Derive an expression for \( Q \) in terms of \( N, A, B, \) and \( R \). Note that \( Q \) does not depend on \( \Delta t \).
**Instruction:** Express your answer in terms of the variables \( N, A, R, \) and \( B \).
\[ Q = \text{(Expression Field)} \]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe794c344-1302-4052-8bc8-236cc4c77fb6%2Fbd44d1b9-2a65-475a-800f-f0ccc8889d98%2F5bwfhpv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Transcription:**
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A small, closely wound coil has \( N \) turns, area \( A \), and resistance \( R \). The coil is initially in a uniform magnetic field with magnitude \( B \) and a direction perpendicular to the plane of the loop. The coil is then rapidly pulled out of the field so that the flux through the coil is reduced to zero in time \( \Delta t \).
### Part A
**Question:** What are the magnitude of the average emf \( \mathcal{E}_{av} \) and average current \( I_{av} \) induced in the coil?
**Instruction:** Express your answer in terms of the variables \( N, A, R, B, \) and \( \Delta t \).
\[ \mathcal{E}_{av}, \ I_{av} = \text{(Expression Field)} \]
### Part B
**Question:** The total charge \( Q \) that flows through the coil is given by \( Q = I_{av} \Delta t \). Derive an expression for \( Q \) in terms of \( N, A, B, \) and \( R \). Note that \( Q \) does not depend on \( \Delta t \).
**Instruction:** Express your answer in terms of the variables \( N, A, R, \) and \( B \).
\[ Q = \text{(Expression Field)} \]
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![### Exercise: Calculating Induced Voltage
**Objective:**
Determine the value of \( Q \) using the given parameters.
**Given:**
- Number of turns \( N = 150 \)
- Area \( A = 4.50 \, \text{cm}^2 \)
- Resistance \( R = 30.0 \, \Omega \)
- Magnetic field \( B = 0.200 \, \text{T} \)
**Instructions:**
Express your answer with the appropriate units.
**Answer Format:**
Fill in the boxes with the calculated value of \( Q \) and its units.
\[
Q = \text{Value} \, \text{Units}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe794c344-1302-4052-8bc8-236cc4c77fb6%2Fbd44d1b9-2a65-475a-800f-f0ccc8889d98%2Fsa6z3vj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exercise: Calculating Induced Voltage
**Objective:**
Determine the value of \( Q \) using the given parameters.
**Given:**
- Number of turns \( N = 150 \)
- Area \( A = 4.50 \, \text{cm}^2 \)
- Resistance \( R = 30.0 \, \Omega \)
- Magnetic field \( B = 0.200 \, \text{T} \)
**Instructions:**
Express your answer with the appropriate units.
**Answer Format:**
Fill in the boxes with the calculated value of \( Q \) and its units.
\[
Q = \text{Value} \, \text{Units}
\]
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