A) \[E\propto {{t}^{2}}\]
B) \[E\propto t\]
C) \[E\propto \sqrt{t}\]
D) E is constant
Correct Answer: D
Solution :
[d] Let radius of the loop is r at any time t and in further time dt, radius increases by dr. The change in flux: \[d\phi =(2\pi rdr)B\] \[\Rightarrow \,\,e=\frac{d\phi }{dt}=2\pi r\left( \frac{dr}{dt} \right)\frac{k}{r}\] \[\Rightarrow \,\,\,e=2\pi ck\] (constant) \[\left[ \because \,\,\frac{dr}{dt}=c,\,B=\frac{k}{r} \right]\] The change in flux: \[d\phi =(2\pi rdr)B\]You need to login to perform this action.
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