(a.3) When using a battery of emf ɛ to build up current I in an inductor in series with a resistor R, application of Kirchhoff's loop rule gives E- IR – L IP dt = 0, which has a solution 1(4) = (1 -e*). Draw the corresponding circuit diagram and comment on similarities and differences between this RL circuit and the RC circuit above and its current. (a.4) By relating Faraday's law to the magnetic flux created by the current through a coil, explain how an emf is induced through self-inductance. You may either use equations or explain in words.

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S
C
R
(a.3) When using a battery of emf e to build up current I in an inductor in series with a
resistor R, application of Kirchhoff's loop rule gives
E - IR – L
IP
= 0,
dt
which has a solution.
1(1) = (1 - e *).
Draw the corresponding circuit diagram and comment on similarities and differences
between this RL circuit and the RC circuit above and its current.
(a.4) By relating Faraday's law to the magnetic flux created by the current through a coil,
explain how an emf is induced through self-inductance. You may either use equations
or explain in words.
Transcribed Image Text:S C R (a.3) When using a battery of emf e to build up current I in an inductor in series with a resistor R, application of Kirchhoff's loop rule gives E - IR – L IP = 0, dt which has a solution. 1(1) = (1 - e *). Draw the corresponding circuit diagram and comment on similarities and differences between this RL circuit and the RC circuit above and its current. (a.4) By relating Faraday's law to the magnetic flux created by the current through a coil, explain how an emf is induced through self-inductance. You may either use equations or explain in words.
Expert Solution
Step 1

RL circuit :

The RL circuit consists of resistance and inductance connected in series with a battery source. The current from the voltage source experiences infinite resistance initially when the switch is closed.

As soon as the RL circuit reaches to steady state, the resistance offered by inductor coil begins to decrease and at a point, the value of resistance of RL circuit becomes zero.

Electrical Engineering homework question answer, step 1, image 1

Variation of current w.r.t flux is shown in below figure,

Electrical Engineering homework question answer, step 1, image 2

 

The flux linking with the inductor coil creates the magnetic field around it.  The slope of the graph depicts the value of inductance while the area covered by the graph determines the energy stored in the form of magnetic field.

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