A uniforrn magnetic field B $$=$$ $$0.5$$ T exists in a circular region of radius $$R=5m$$.A loop of radius R $$=$$ $$5$$ m encloses the magnetic field at t $$=$$ $$0$$ and then pulled at uniform speed v $$=$$ $$2$$ $$m/s$$ in the plane of the paper. The induced emf in the loop at time t $$=$$ $$3$$ $$sec$$ (in$$ $$V) is $$_________$$

Question

Infinity Learn · Accepted Answer

$$O1M=(vt$$−$$R)+2R$$−$$vt2=vt2PM=R2$$−$$O1M2=R2$$−$$vt22=4R2$$−$$V2t22PN=2PM=l=4R2$$−$$V2t2$$∴$$E=BVl$$ $$=BV4R2$$−$$V2t2$$, given $$R=5m$$,$$v=2m/s$$,$$t=3sec$$ $$=0.5$$×$$24$$×$$25$$−$$4$$×$$9=8V$$

Magnetic flux and induced emf

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A uniforrn magnetic field B = 0.5 T exists in a circular region of radius R=5m.A loop of radius R = 5 m encloses the magnetic field at t = 0 and then pulled at uniform speed v = 2 m/s in the plane of the paper. The induced emf in the loop at time t = 3 sec (in V) is _________

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Magnetic flux and induced emf

Remember concepts with our Masterclasses.

A uniforrn magnetic field B = 0.5 T exists in a circular region of radius R=5m.A loop of radius R = 5 m encloses the magnetic field at t = 0 and then pulled at uniform speed v = 2 m/s in the plane of the paper. The induced emf in the loop at time t = 3 sec (in V) is _________

O1M=(vt−R)+2R−vt2=vt2PM=R2−O1M2=R2−vt22=4R2−V2t22PN=2PM=l=4R2−V2t2∴E=BVl =BV4R2−V2t2, given R=5m,v=2m/s,t=3sec =0.5×24×25−4×9=8V

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