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A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4 x 10-4 T at its centre. The current flowing through it is
  • a)
    1.06 A
  • b)
    2.44 A
  • c)
    3.44 A
  • d)
    4.44 A
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4...
Here, N = 90
R = 15 cm = 15 x 10-2m, B = 4 x 10-4 T
∵ B = μ0NI/2R 
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Community Answer
A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4...
**Given Information:**
- Radius of the coil, r = 15 cm = 0.15 m
- Magnetic field at the center of the coil, B = 4 x 10^(-4) T

**Formula Used:**
The formula used to calculate the magnetic field at the center of a coil is given by:

B = (μ₀ * n * I) / (2 * r)

Where:
- B is the magnetic field at the center of the coil
- μ₀ is the permeability of free space (4π x 10^(-7) T m/A)
- n is the number of turns in the coil
- I is the current flowing through the coil
- r is the radius of the coil

**Calculation:**
Using the formula mentioned above, we can rearrange it to solve for the current (I):

I = (2 * B * r) / (μ₀ * n)

Substituting the given values:

I = (2 * 4 x 10^(-4) T * 0.15 m) / (4π x 10^(-7) T m/A * 90)

Simplifying the expression:

I = (8 x 10^(-4) T m * 0.15 m) / (360π x 10^(-7) T m/A)

I = (1.2 x 10^(-4) T m²) / (360π x 10^(-7) T m/A)

I ≈ 1.06 A

Therefore, the current flowing through the coil is approximately 1.06 A. Hence, option 'A' is the correct answer.
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A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4 x 10-4 T at its centre. The current flowing through it isa)1.06 Ab)2.44 Ac)3.44 Ad)4.44 ACorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4 x 10-4 T at its centre. The current flowing through it isa)1.06 Ab)2.44 Ac)3.44 Ad)4.44 ACorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tightly wound 90 turn coil of radius 15 cm has a magnetic field of 4 x 10-4 T at its centre. The current flowing through it isa)1.06 Ab)2.44 Ac)3.44 Ad)4.44 ACorrect answer is option 'A'. Can you explain this answer?.
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