a circular coil of radius 5cm and resistance .2ohms is placed in a uniform magnetic field perpendicular to the plane of the coil. the magnitude of the field changes with time according to B=.50e^(-20t)T. what is the magnitude of the current induced in the coil at t=2s?
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This could help:
I think that EMF must be calculated first. prior to this flux across coil area must be found.
Then, current is easily obtained via Ohm's Law.
When I wrote flux, I mean derivative of flux relative to time \[d \phi/dt\]
First of all, find flux using following formula:
phi(flux)=B*A.....where B is magnetic field and A is area .
using lenz's law:
find the value of Einduced at t=2.
And using ohm's law:
I=Einduced/R....Where R is Resistance ...
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i'm not getting the right answer =/...
and @ t=2s and A being pi(.05)^2...
I=emf/R=-1.67*10^-18. not even close to any answers
i get an answer which is equal to 1.07*10^-18.. is angular velocity= 20 rotations per sec ??