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What is the value of magnetic flux density at the centre of a current carrying loop when the loop radius is 2 cm, loop current is 1 mA and the loop is placed in air?
  • a)
    1 μWb
  • b)
    0.1 μWb
  • c)
    10 μWb
  • d)
    0.01 μWb
Correct answer is option 'D'. Can you explain this answer?
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What is the value of magnetic flux density at the centre of a current ...
Magnetic flux density at the centre of a current carrying loop is given by

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What is the value of magnetic flux density at the centre of a current ...
We can use the formula for magnetic field at the centre of a current carrying loop:

B = (μ0 * I * R^2) / (2 * (R^2 + x^2)^(3/2))

where B is the magnetic flux density, μ0 is the permeability of free space (4π x 10^-7 T m/A), I is the current, R is the radius of the loop, and x is the distance from the centre of the loop.

In this case, R = 2 cm = 0.02 m, I = 1 mA = 0.001 A, and x = 0 (since we are finding the value at the centre of the loop).

Plugging in these values, we get:

B = (4π x 10^-7 T m/A * 0.001 A * (0.02 m)^2) / (2 * (0.02 m)^2)^(3/2)
B = 3.54 x 10^-5 T

Therefore, the value of magnetic flux density at the centre of the loop is 3.54 x 10^-5 T.
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What is the value of magnetic flux density at the centre of a current carrying loop when the loop radius is 2 cm, loop current is 1 mA and the loop is placed in air?a)1 μWbb)0.1 μWbc)10 μWbd)0.01 μWbCorrect answer is option 'D'. Can you explain this answer?
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