Answer the question How the b part is done? Physics moving charges

Solution
In b part it is considered that x <<< RSoB =μoNiR22R2+x23/2Taking R2  common B =μoNiR22R21+x2R23/2Taking power term up to apply binomial expansionB =μoNi21+x2R2-3/2Applying binomial expansionB =μoNi21+-32x2R2+ ....B =μoNi21-32x2R2+ ....Now as x <<< R so other terms canbe neglected as value will be neligible.SoB =μoNi21-32x2R2

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