Electro Magnetic Induction And Alternating Currents Question 513
Question: The magnetic flux $ \phi $ linked with a conducting coil depends on time as $ \phi =4t^{n}+6 $ , where n is a positive constant. The induced emf in the coil is e. Then which is wrong?
Options:
A) If $ 0<n<1 $ , $ e\ne 0 $ and $ . | e . | $ decreases with time
B) If n=1, e is constant
C) If n > 1, $ | e | $ increases with time
D) If n>l, $ | e | $ decreases with time
Show Answer
Answer:
Correct Answer: D
Solution:
-
$ \phi =4t^{n}+6 $
$ \frac{d\phi }{dt}=4n{{t}^{n-1}} $
$ | {\vec{e}} |=4n{{t}^{n-1}} $ ,
$ | . e | .=\frac{4n}{{{t}^{1-n}}} $
