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Calculate the number of turns in an inductor with a ferromagnetic core when the inductance is 0.004H, the current changes from 5A to 7A and the flux changes from 760 to 800 ∫Wb.
  • a)
    100
  • b)
    200
  • c)
    300
  • d)
    400
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Calculate the number of turns in an inductor with a ferromagnetic core...
From the formula of incremental inductance, we know that:
L=(Change in flux/Change in current)*Number of turns
Substituting the values from the given question, we get N=200.
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Most Upvoted Answer
Calculate the number of turns in an inductor with a ferromagnetic core...
To calculate the number of turns in an inductor with a ferromagnetic core, we can use the formula:

L = (N^2 * μ * A) / l

Where:
L is the inductance (0.004H)
N is the number of turns (unknown)
μ is the permeability of the core material (unknown)
A is the cross-sectional area of the core (unknown)
l is the length of the core (unknown)

We can rearrange the formula to solve for N:

N^2 = (L * l) / (μ * A)

Now, let's calculate the change in flux:

ΔΦ = (ΔI * L) / Δt

Where:
ΔΦ is the change in flux (800 - 760 = 40)
ΔI is the change in current (7 - 5 = 2)
Δt is the change in time (unknown)

We can rearrange the formula to solve for Δt:

Δt = (ΔI * L) / ΔΦ

Now, let's substitute the values into the formulas:

N^2 = (0.004 * l) / (μ * A)

Δt = (2 * 0.004) / 40 = 0.0002 seconds

Since we don't have the values for l, μ, and A, we cannot calculate the exact number of turns.
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Calculate the number of turns in an inductor with a ferromagnetic core...
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Calculate the number of turns in an inductor with a ferromagnetic core when the inductance is 0.004H, the current changes from 5A to 7A and the flux changes from 760 to 800 ∫Wb.a)100b)200c)300d)400Correct answer is option 'B'. Can you explain this answer?
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