A 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT is applied perpendicularly to the plane of the coil. Calculate the magnetic flux through the coil. The flux, O = Units Select an answer V If the field increases in strength from the initial value to 23.5 mT in 0.35 s, what average emf is induc the coil? The induced emf, emf = Units Select an answer v . What is the average current in the coil if it's resistance is 95 Q? The current, = Units Select an answer
A 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT is applied perpendicularly to the plane of the coil. Calculate the magnetic flux through the coil. The flux, O = Units Select an answer V If the field increases in strength from the initial value to 23.5 mT in 0.35 s, what average emf is induc the coil? The induced emf, emf = Units Select an answer v . What is the average current in the coil if it's resistance is 95 Q? The current, = Units Select an answer
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![### Magnetic Flux and Induced EMF in a Coil
**Problem Statement:**
An 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT is applied perpendicularly to the plane of the coil. Calculate the magnetic flux through the coil.
- **The flux, Φ =** ______ Units: [Select an answer ▼]
If the field increases in strength from the initial value to 23.5 mT in 0.35 s, what average emf is induced in the coil?
- **The induced emf, emf =** ______ Units: [Select an answer ▼]
What is the average current in the coil if its resistance is 95 Ω?
- **The current, I =** ______ Units: [Select an answer ▼]
**Instructions for Solving:**
1. To calculate the magnetic flux, use the formula:
\[
Φ = B \cdot A \cdot N
\]
Where:
- \( B \) is the magnetic field strength (in tesla, T),
- \( A \) is the area of the coil (in square meters, m²),
- \( N \) is the number of turns of the coil.
2. To find the induced emf when the magnetic field changes, use Faraday's Law of Induction:
\[
emf = -N \frac{ΔΦ}{Δt}
\]
Where:
- \( ΔΦ \) is the change in magnetic flux,
- \( Δt \) is the change in time.
3. To calculate the average current, use Ohm’s Law:
\[
I = \frac{emf}{R}
\]
Where:
- \( R \) is the resistance (in ohms, Ω).
**Considerations:**
- Ensure to convert the magnetic field strength from milliteslas (mT) to teslas (T) where 1 mT = 0.001 T.
- Convert the side length of the coil from centimeters (cm) to meters (m).
- Calculate the area of the square coil using \( A = side^2 \).
Please proceed to fill in the respective fields and select the appropriate units for your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74ab977b-b4a0-40ea-97fa-cc243f1e86a7%2F72aa7346-6892-4cc0-869f-633b927ffdc4%2Fswb3d8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Magnetic Flux and Induced EMF in a Coil
**Problem Statement:**
An 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT is applied perpendicularly to the plane of the coil. Calculate the magnetic flux through the coil.
- **The flux, Φ =** ______ Units: [Select an answer ▼]
If the field increases in strength from the initial value to 23.5 mT in 0.35 s, what average emf is induced in the coil?
- **The induced emf, emf =** ______ Units: [Select an answer ▼]
What is the average current in the coil if its resistance is 95 Ω?
- **The current, I =** ______ Units: [Select an answer ▼]
**Instructions for Solving:**
1. To calculate the magnetic flux, use the formula:
\[
Φ = B \cdot A \cdot N
\]
Where:
- \( B \) is the magnetic field strength (in tesla, T),
- \( A \) is the area of the coil (in square meters, m²),
- \( N \) is the number of turns of the coil.
2. To find the induced emf when the magnetic field changes, use Faraday's Law of Induction:
\[
emf = -N \frac{ΔΦ}{Δt}
\]
Where:
- \( ΔΦ \) is the change in magnetic flux,
- \( Δt \) is the change in time.
3. To calculate the average current, use Ohm’s Law:
\[
I = \frac{emf}{R}
\]
Where:
- \( R \) is the resistance (in ohms, Ω).
**Considerations:**
- Ensure to convert the magnetic field strength from milliteslas (mT) to teslas (T) where 1 mT = 0.001 T.
- Convert the side length of the coil from centimeters (cm) to meters (m).
- Calculate the area of the square coil using \( A = side^2 \).
Please proceed to fill in the respective fields and select the appropriate units for your answers.
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