A solenoid has $$2000$$ turns wound over a length of $$0.30$$ m. The area of its $$cross-section$$ is $$1$$ $$.2$$ x $$10-3$$ $$m2$$. Around its central section of a coil of $$300$$ turns is wound. If an initial current of $$2$$ A in the solenoid is reversed in $$0.25$$ $$sec$$., the e.m.f. induced in the coil is equal to

Question

Infinity Learn · Accepted Answer

Magnetic flux at the centre of $$solenoidB1=$$μ$$0Npi1/l$$   ......$$(1)Magnetic$$ flux linked with the coil of Ns turns wound at the centre of solenoidΦ$$2=NSB1A2(A2$$ $$=$$ area of $$cross-section$$ of the $$coil)=Ns$$μ$$0NpilA2$$    .......$$(2)According$$ to definition of mutual inductanceΦ$$2=Mi1$$∴$$Mi1=NS$$μ$$0NpilA2$$ or $$M=$$μ$$0NpNsA2lIn$$ the given $$problemM=4$$π×$$10$$−$$7$$×$$2000$$×$$300$$×$$1$$⋅$$2$$×$$10$$−$$30$$⋅$$30e=Mdidt4$$π×$$10$$−$$7$$×$$2000$$×$$300$$×$$1$$⋅$$2$$×$$10$$−$$30$$⋅$$30$$×$$40$$⋅$$25=4$$⋅$$8$$×$$10$$−$$2$$ volt

A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is 1 .2 x 10^-3 m². Around its central section of a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 sec., the e.m.f. induced in the coil is equal to

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A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is 1 .2 x 10-3 m2. Around its central section of a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 sec., the e.m.f. induced in the coil is equal to

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A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is 1 .2 x 10^-3 m². Around its central section of a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 sec., the e.m.f. induced in the coil is equal to