A circular coil of radius $$10cm$$ is placed in a uniform magnetic field of $$3.0$$×$$10$$−$$5T$$ with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in $$0.2s$$. The maximum value of EMF induced in μV in the coil will be close to the integer

Question

A circular coil of radius $$10cm$$ is placed in a uniform magnetic field of  $$3.0$$×$$10$$−$$5T$$ with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in $$0.2s$$. The maximum value of EMF induced in μV in the coil will be close to the integer

Infinity Learn · Accepted Answer

Magnetic Flux $$=$$ϕ$$=B$$.π$$r2cos$$ωt​Induced EMF $$=$$ε$$=$$−dϕ$$dt=B$$ωπ$$r2sin$$ωt​Peak value of emf $$=$$ε$$0=B$$ωπ$$r2$$​$$=3$$×$$10$$−$$5$$×π$$0.2$$×π×$$10$$−$$2$$​$$=3$$$$π$$$$22$$μV≃$$15$$μV

Magnetic flux and induced emf

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Magnetic flux and induced emf

Remember concepts with our Masterclasses.

Magnetic Flux =ϕ=B.πr2cosωt​Induced EMF =ε=−dϕdt=Bωπr2sinωt​Peak value of emf =ε0=Bωπr2​=3×10−5×π0.2×π×10−2​=3π22μV≃15μV

Ready to Test Your Skills?

free study material