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CBSE Class 12-science Answered

The wire as has shown in the figure below carries current of 15 A. Determine the magnitude of magnetic field induction at the centre O. given the radius of the bent coil is 4 cm.
Asked by Topperlearning User | 18 May, 2015, 04:06: PM
answered-by-expert Expert Answer

I = 15 A, r = 4 cm

Magnetic field at O,

    =

    =

    =                 (Since,begin mathsize 11px style integral dl space equals space fraction numerator 3 πr over denominator 2 end fraction end style)

    =

Therefore, after putting values in above equation we get,

begin mathsize 11px style straight B space equals space fraction numerator 3 space cross times space 4 space cross times space 3.14 space cross times space 10 to the power of negative 7 end exponent space cross times space 15 over denominator 4 space cross times space 8 end fraction space equals space 17.66 space cross times space 10 to the power of negative 7 end exponent space straight T end style

Answered by | 18 May, 2015, 06:06: PM

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