A horizontal rod of mass $$10$$ g and length $$10$$ cm is placed on a smooth plane inclined at an angle of $$600$$ with the horizontal with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is $$1.73$$ ampere, the value of B for which the rod remains stationary on the inclined plane is

Question

A horizontal rod of mass $$10$$ g and length $$10$$ cm is placed on a smooth plane inclined at an angle  of  $$600$$ with the horizontal with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is $$1.73$$ ampere, the value of B for which the rod remains stationary on the inclined plane is

Infinity Learn · Accepted Answer

force on the conductor due magnetic field IlB along horizontal direction and its component along the plane is ilB $$cos$$θ which when balances mgsinθ it will be in equilibriummgsinθ $$=$$ ilBcosθ    $$B=mgiltan$$θ

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material