A long solenoid of radius R carries a time(t) - dependent current . A ring of radius 2R is placed coaxially near its middle. During the time interval
, the induced current (IR) and the induced EMF (VR) in the ring changes as:-
Option: 1 Direction of remains unchanged and
is zero at
Option: 2 Direction of remains unchanged and
is zero at
Option: 3 At direction of
reverses and
is maximum
Option: 4 At direction of
reverses and
is zero
Faraday's law of induction -
Faraday’s First Law-
Whenever the number of magnetic lines of force (Magnetic Flux) passing through a circuit changes an emf called induced emf is produced in the circuit. The induced emf persists only as long as there is a change of flux.
Faraday’s Second Law-
The induced emf is given by the rate of change of magnetic flux linked with the circuit.
i.e Rate of change of magnetic Flux=
where = change in flux
So,
using
SO
Now considering solenoid as ideal solenoid extended up to infinite and ring as its centre
Since induced emf is changing so current will also be changing
because
So, since direction of emf is changing so direction of current is also changing.
And VR will be zero at t=0.5 sec
So the option (4) is correct.
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