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Question
A circular coil of 100 turns with a cross-sectional area of 1 m2 is kept with its plane perpendicular to the magnetic field of 1 T. The magnetic flux linkage is ______.
Options
1 Wb
50 Wb
100 Wb
200 Wb
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Solution
A circular coil of 100 turns with a cross-sectional area of 1 m2 is kept with its plane perpendicular to the magnetic field of 1 T. The magnetic flux linkage is 100 Wb.
Explanation:
Step 1:
Let '`phi`' be the Magnetic Flux Linked with the coil.
Substitute the given values from the Question,
No of Turns = n = 100 ......(1)
Cross-Sectional Area = A = 1 m2 .....(2)
Magnetic Field = B = 1T ......(3)
Angle Between B and A = `theta` = 0° ......(4)
Step 2:
Using the Magnetic Flux Formula,
`phi = nB.A`
= `nB Acostheta` .....(5)
Put the values in equations (1), (2), (3), (4) and (5) and calculate:
`phi = 100 xx 1 xx 1 xx cos(0^circ)` ......(∵ cos 0° = 1)
= 100 Wb
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