Determine the magnetic field at the centre of the current carrying wire arrangement shown in the figure. The arrangement extends to infinity. (The$$ wires joining the successive squares are along the line passing through the $$centre)

Question

Infinity Learn · Accepted Answer

Magnetic field at centre due to a square of side A:$$B=4$$ μ$$04$$π  $$ia/2$$ $$sin$$ $$450$$ $$+$$  $$sin$$ $$45022$$μ$$0i$$$$π$$aFor the case in figure:$$Bnet=$$  $$22$$μ$$0i$$π  $$1a$$  − $$12a$$  $$+$$ $$13a$$  − $$14a+$$..... $$=$$  $$22$$μ$$0i$$$$π$$a  $$1$$  − $$12$$  $$+$$ $$13$$  − $$14+$$..... $$=$$  $$22$$μ$$0i$$$$π$$a  ln  $$2$$

Determine the magnetic field at the centre of the current carrying wire arrangement shown in the figure. The arrangement extends to infinity. (The wires joining the successive squares are along the line passing through the centre)

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