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Standard XII
Physics
Displacement Current
An inductor-c...
Question
An inductor-coil, a capacitor and an AC source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and internal resistance 4.0 Ω, what will be the current?
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Solution
RMS value of voltage, E
rms
= 24 V
Internal resistance of battery, r = 4 Ω
RMS value of current, I
rms
= 6 A
Reactance
R
is given by,
R
=
E
I
rms
⇒
R
=
24
6
=
4
Ω
Let R' be the total resistance of the circuit. Then,
R' = R + r
⇒
R' = 4 Ω + 4 Ω
⇒
R' = 8 Ω
Current, I =
12
8
A
= 1.5 A
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Q.
An inductor coil,a capacitor and an alternating source of virtual value 36 V are connected in series.When the frequency of the source is varied, a maximum virtual current 4 A is observed. If this inductor coil is connected to a battery of emf 18V and internal resistance
9
Ω
, the current in the circuit will be:
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