A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate `(dB)/(dt)`. Loop 1 of radius R `gt` r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in figure. Then, the emf generated is
image
A. Zero in loop 1 and zero in loop 2
B. `-(dB)/(dt)pir^(2)` in loop 1 and `-(dB)/(dt)pi^(2)` in loop 2
C. `-(dB)/(dt)piR^(2)` in loop 1 and zero in loop 2
D. `-(dB)/(dt)pir^(2)` in loop 1 and zero in loop 2

General Awareness ELECTROMAGNETIC-INDUCTION IN GENERAL AWARENESS . 2 years ago

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Correct Answer - C
Induced emf in the region is given by
`|e|=(dhpi)/(dt)`
where, `phi=BA=pir^(2)B`
`rArr" "(dphi_(1))/(dt)-pir^(2)(dB)/(dt)`
Rate of change if magnetic flux associated with loop l,
`e_(1)=-(dphi_(1))/(dt)=-pir^(2)(dB)/(dt)`
Similarly, `e_(2)` = emf associated with loop 2
`=-(dphi_(2))/(dt)=0" "(because phi_(2)=0)`

Posted on 06 Oct 2022, this text provides information on General Awareness related to ELECTROMAGNETIC-INDUCTION IN GENERAL AWARENESS. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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