{"result":{"text":"B equals B subscript a b end subscript plus B subscript b c end subscript plus B subscript c a end subscript\nequals fraction numerator mu subscript 0 over denominator 4 pi end fraction straight I over r left parenthesis negative j with hat on top right parenthesis plus fraction numerator mu subscript 0 over denominator 4 pi end fraction fraction numerator pi straight I over denominator r end fraction left parenthesis negative k with hat on top right parenthesis plus fraction numerator mu subscript 0 over denominator 4 pi end fraction straight I over r left parenthesis negative j with hat on top right parenthesis\nequals fraction numerator mu subscript 0 over denominator 4 pi end fraction fraction numerator 2 straight I over denominator r end fraction left parenthesis negative j with hat on top right parenthesis plus fraction numerator mu subscript 0 over denominator 4 pi end fraction fraction numerator pi straight I over denominator r end fraction left parenthesis negative k with hat on top right parenthesis\ntherefore open vertical bar B close vertical bar equals open square brackets open parentheses fraction numerator mu subscript 0 over denominator 4 pi end fraction fraction numerator 2 straight I over denominator r end fraction close parentheses squared plus open parentheses fraction numerator mu subscript 0 over denominator 4 pi end fraction fraction numerator pi straight I over denominator r end fraction close parentheses squared close square brackets to the power of 1 divided by 2 end exponent equals fraction numerator mu subscript 0 over denominator 4 pi end fraction straight I over r square root of 4 plus pi squared end root"},"status":"ok"}