# An electricity and magnetism problem by Sudipan Mallick

Electricity and Magnetism Level 3

Four uniform wires $$FG$$, $$GH$$, $$HI$$ and $$IF$$ each of length $$l$$ and having resistance $$R$$, $$2R$$, $$3R$$ and $$4R$$ respectively are connected together to form a square $$FGHI$$. The square is placed in a magnetic field whose induction varies with time according to law $$B = Xt$$. Calculate potential difference between $$F$$ and $$G$$.

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