A capacitor with capacitance C = 1.0 µF and a coil with active resistance R = 0.10 Ω and inductance L = 1.0 mH are connected in parallel to source of sinusoidal voltage V = 31 V.
Find:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. The circuit is shown in fig.
The impedance of the circuit is
= 
+ 
or 
= 
+ 
= 
+ 
( 
here j 2 = – 1)
= 
+ j ω C
At resonance, impedance should be minimum.
For this 
should be maximum.
∴ 
= 0, or 
= 
+ jC = 0
After solving we get R 2 + ω 2 L 2 = 
.
∴ ω = ω res. = 
….. (1)
= 3 × 10 4 rad/s
I = 
I = 3 × 10 –3 A = 3 mA
Here I L = 
= V = 
1.0 A
Also, I C = 
V ω C = VC ω res.
= VC 
= V = 
= 1.0 A [from eqn. (1)]
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