One end of a straight copper rod, carrying a current of $$2A$$, is at the origin and the other end is at the point A whose co ordinates are (1m$$, $$1m$$, $$1m). A uniform magnetic field B→$$=1.5i^$$ T exists in that region, Direction of current in the rod is from the origin to point A. Then magnitude of force experienced by the rod is

Question

One end of a straight copper rod, carrying a current of $$2A$$, is at the origin and the other end is at the point A whose co ordinates are (1m$$, $$1m$$, $$1m). A uniform magnetic field B→$$=1.5i^$$ T exists in that region, Direction of current in the rod is from the origin to point A. Then magnitude of force experienced by the rod is

Infinity Learn · Accepted Answer

F→$$=i$$ l→×B→. Here l→$$=(i^+j^+k^)m$$∴ F→$$=2(i^+j^+k^)$$×$$1.5$$ $$i^$$ $$N=3($$−$$k^+j)N$$∴ $$F=312+12$$ $$N=32$$ N

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