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Please Sir, solve the problem in the picture.  What is Curl of H in case of magnetic dipole? Please clear my doubt.
question image
Asked by subhrajayanta64 | 03 Sep, 2019, 00:20: AM
answered-by-expert Expert Answer
begin mathsize 14px style nabla times H with rightwards arrow on top space equals space nabla times open parentheses fraction numerator B with rightwards arrow on top over denominator mu subscript o end fraction space minus space M with rightwards arrow on top close parentheses space equals 1 over mu subscript o nabla times B with rightwards arrow on top space minus space nabla. M with rightwards arrow on top space space equals space minus space nabla. M with rightwards arrow on top left parenthesis because space nabla times B with rightwards arrow on top space space equals space 0 space right parenthesis M with rightwards arrow on top space equals space M space x with hat on top space......... left parenthesis 1 right parenthesis u n i t space v e c t o r space x with hat on top space i n space c y l i n d r i c a l space c o o r d i n a t e s space i s space g i v e n space b y x with hat on top space equals space cos ϕ space s with hat on top space minus space sin ϕ space ϕ with hat on top space space space space............ left parenthesis 2 right parenthesis f r o m space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space space space M with rightwards arrow on top space equals space M space cos ϕ space s with hat on top space minus space M space sin ϕ space ϕ with hat on top space H e n c e space nabla times H with rightwards arrow on top space equals space minus nabla times M with rightwards arrow on top space equals negative 1 over s fraction numerator partial differential over denominator partial differential s end fraction open parentheses s space M space cos ϕ close parentheses space plus 1 over s fraction numerator partial differential over denominator partial differential ϕ end fraction open parentheses M space sin ϕ close parentheses space equals 0 end style
Answered by Thiyagarajan K | 03 Sep, 2019, 11:46: AM

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