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Find the magnetic field intensity at the centre O of a square of the sides equal to 5m and carrying 10A of current.
- a)1.2
- b)1
- c)1.6
- d)1.8
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find the magnetic field intensity at the centre O of a square of the s...
Answer: d
Explanation: The magnetic field is given by H = 4I/√2πω. Put I = 10 and ω = 5m. Thus H = 4 x 10/√2π(5) = 1.8 unit.
Explanation: The magnetic field is given by H = 4I/√2πω. Put I = 10 and ω = 5m. Thus H = 4 x 10/√2π(5) = 1.8 unit.
Most Upvoted Answer
Find the magnetic field intensity at the centre O of a square of the s...
Given:
Side of the square (a) = 5 m
Current (I) = 10 A
We need to find the magnetic field intensity at the centre of the square.
Formula used:
The magnetic field intensity at the centre of a square carrying current is given by:
B = (μ₀/4π) x I x (2a/√2) / a²
where,
μ₀ = permeability of free space = 4π x 10^-7 H/m
Calculation:
μ₀ = 4π x 10^-7 H/m
a = 5 m
I = 10 A
B = (μ₀/4π) x I x (2a/√2) / a²
B = (4π x 10^-7 / 4π) x 10 x (2 x 5 / √2) / 5²
B = 2 x 10^-6 x 2 x 5 / √2 x 25
B = 1.8 x 10^-6 T
Therefore, the magnetic field intensity at the centre O of the square is 1.8 x 10^-6 T.
Hence, option (D) is the correct answer.
Side of the square (a) = 5 m
Current (I) = 10 A
We need to find the magnetic field intensity at the centre of the square.
Formula used:
The magnetic field intensity at the centre of a square carrying current is given by:
B = (μ₀/4π) x I x (2a/√2) / a²
where,
μ₀ = permeability of free space = 4π x 10^-7 H/m
Calculation:
μ₀ = 4π x 10^-7 H/m
a = 5 m
I = 10 A
B = (μ₀/4π) x I x (2a/√2) / a²
B = (4π x 10^-7 / 4π) x 10 x (2 x 5 / √2) / 5²
B = 2 x 10^-6 x 2 x 5 / √2 x 25
B = 1.8 x 10^-6 T
Therefore, the magnetic field intensity at the centre O of the square is 1.8 x 10^-6 T.
Hence, option (D) is the correct answer.
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