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A ring having a cross-sectional area of 500 mm2, a circumference of 400 mm and ϕ=800microWb has a coil of 200 turns wound around it. Relative permeability of ring is 380. Calculate the magnetising current.
  • a)
    6.7A
  • b)
    7.7A
  • c)
    7.6
  • d)
    6.1A
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A ring having a cross-sectional area of 500 mm2, a circumference of 40...
eluctance = l/(µ x A) = l/(µrµ0 x A)
Substituting the values, we get Reluctance S = 1.68 x 106 A/Wb.
F = ϕS Substituting the given values, we get F = 1344At.
I = F/N Substituting the values from the question, we get I = 6.7A.
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Community Answer
A ring having a cross-sectional area of 500 mm2, a circumference of 40...
Given data:
Cross-sectional area of the ring (A) = 500 mm^2
Circumference of the ring (C) = 400 mm
Flux linked with the coil (Φ) = 800 μWb
Number of turns in the coil (N) = 200
Relative permeability of the ring (μr) = 380

To calculate the magnetizing current, we can use the formula:

Φ = B × A

Where:
Φ is the flux linked with the coil
B is the magnetic field intensity
A is the cross-sectional area of the ring

From the given data:
Φ = 800 μWb = 800 × 10^(-6) Wb
A = 500 mm^2 = 500 × 10^(-6) m^2

First, let's calculate the magnetic field intensity (B) using the formula:

B = μ0 × μr × H

Where:
μ0 is the permeability of free space = 4π × 10^(-7) Tm/A
μr is the relative permeability of the ring
H is the magnetizing force

We can rearrange the formula as:

H = B / (μ0 × μr)

Now, substitute the values and solve for H:

H = (Φ / A) / (μ0 × μr)
H = (800 × 10^(-6) Wb) / (500 × 10^(-6) m^2) / (4π × 10^(-7) Tm/A × 380)

Simplifying the equation:
H = (800 × 10^(-6) Wb) / (500 × 10^(-6) m^2) / (4π × 10^(-7) Tm/A × 380)
H = 4π × 10^(-7) Tm/A × (800 × 10^(-6) Wb) / (500 × 10^(-6) m^2 × 380)
H = (4π × 10^(-7) × 800 × 10^(-6)) / (500 × 10^(-6) × 380) T
H ≈ 10.55 A/m

Now, let's calculate the magnetizing current (I) using the formula:

I = H / N

Substituting the values and solving for I:

I = 10.55 A/m / 200
I ≈ 0.053 A

Converting to Amperes:
I ≈ 53 mA

Therefore, the magnetizing current is approximately 0.053 A or 53 mA.

Hence, the correct answer is option A) 6.7 A.
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A ring having a cross-sectional area of 500 mm2, a circumference of 400 mm and =800microWb has a coil of 200 turns wound around it. Relative permeability of ring is 380. Calculate the magnetising current.a)6.7Ab)7.7Ac)7.6d)6.1ACorrect answer is option 'A'. Can you explain this answer?
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