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Question
A circular coil 'A' has a radius 'R' and the current flowing through it is I. Another circular coil 'B' has radius 4R and current flowing through it is 4I. The magnetic field at the centre of the circular coil is in the ratio of ______.
Options
4: 1
2: 1
6: 1
1: 1
MCQ
Fill in the Blanks
Solution
A circular coil 'A' has a radius 'R' and the current flowing through it is I. Another circular coil 'B' has radius 4R and current flowing through it is 4I. The magnetic field at the centre of the circular coil is in the ratio of 1: 1
Explanation:
`"B"_"A" = µ_0/(4pi) xx (2pi"I")/"R"`
∴ `"B"_"B" = µ_0/(4pi) xx (2pi(4"I"))/"R" = µ_0/(4pi) xx (2pi"I")/"R"`
∴ `"B"_"A"/"B"_"B" = 1/1`
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