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A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer?
Most Upvoted Answer
A rectangular coil has 60 turns and its length and width is 20 cm and ...
Given data:
- Number of turns in the coil (N) = 60
- Length of the coil (l) = 20 cm = 0.2 m
- Width of the coil (w) = 10 cm = 0.1 m
- Speed of rotation (ω) = 1800 rotations per minute
- Magnetic field strength (B) = 0.5 T
Step 1: Calculating the area of the coil
The area of the coil (A) can be calculated using the formula:
A = l * w
Plugging in the given values:
A = 0.2 m * 0.1 m
A = 0.02 m²
Step 2: Calculating the magnetic flux
The magnetic flux (Φ) passing through the coil can be calculated using the formula:
Φ = B * A
Plugging in the given values:
Φ = 0.5 T * 0.02 m²
Φ = 0.01 Wb
Step 3: Calculating the angular velocity
The angular velocity (ω) can be calculated using the formula:
ω = 2πf
Given that the coil rotates at 1800 rotations per minute, we can convert this to frequency (f) as:
f = 1800 rotations per minute / 60 seconds
f = 30 Hz
Plugging in the value of f into the formula for angular velocity:
ω = 2π * 30 Hz
ω = 60π rad/s
Step 4: Calculating the maximum induced emf
The maximum induced emf (ε) can be calculated using the formula:
ε = N * Φ * ω
Plugging in the values of N, Φ, and ω:
ε = 60 * 0.01 Wb * 60π rad/s
Simplifying the expression:
ε = 360π V
Step 5: Calculating the approximate value
To calculate the approximate value of ε, we can use the approximation π ≈ 3.14:
ε ≈ 360 * 3.14 V
ε ≈ 1130.4 V
Answer:
Therefore, the maximum induced emf will be approximately 113 V. Therefore, the correct option is C) 113V.
- Number of turns in the coil (N) = 60
- Length of the coil (l) = 20 cm = 0.2 m
- Width of the coil (w) = 10 cm = 0.1 m
- Speed of rotation (ω) = 1800 rotations per minute
- Magnetic field strength (B) = 0.5 T
Step 1: Calculating the area of the coil
The area of the coil (A) can be calculated using the formula:
A = l * w
Plugging in the given values:
A = 0.2 m * 0.1 m
A = 0.02 m²
Step 2: Calculating the magnetic flux
The magnetic flux (Φ) passing through the coil can be calculated using the formula:
Φ = B * A
Plugging in the given values:
Φ = 0.5 T * 0.02 m²
Φ = 0.01 Wb
Step 3: Calculating the angular velocity
The angular velocity (ω) can be calculated using the formula:
ω = 2πf
Given that the coil rotates at 1800 rotations per minute, we can convert this to frequency (f) as:
f = 1800 rotations per minute / 60 seconds
f = 30 Hz
Plugging in the value of f into the formula for angular velocity:
ω = 2π * 30 Hz
ω = 60π rad/s
Step 4: Calculating the maximum induced emf
The maximum induced emf (ε) can be calculated using the formula:
ε = N * Φ * ω
Plugging in the values of N, Φ, and ω:
ε = 60 * 0.01 Wb * 60π rad/s
Simplifying the expression:
ε = 360π V
Step 5: Calculating the approximate value
To calculate the approximate value of ε, we can use the approximation π ≈ 3.14:
ε ≈ 360 * 3.14 V
ε ≈ 1130.4 V
Answer:
Therefore, the maximum induced emf will be approximately 113 V. Therefore, the correct option is C) 113V.
Community Answer
A rectangular coil has 60 turns and its length and width is 20 cm and ...
I will answer in morning bro
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A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer?
Question Description
A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer?.
A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular coil has 60 turns and its length and width is 20 cm and 10 cm respectively. The coil rotates at a speed of 1800 rotation per minute in a uniform magnetic field of 0.5 T abo ut its one of the diameter. The maximum induced emf will be:A) 98V B) 110V C)113V D)118V. Can you explain its answer?.
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