Electric Circuit Analysis: Unit V: Resonance and coupled circuits
Exercise
Resonance | Electric Circuit Analysis
Electric Circuit Analysis: Unit V: Resonance and coupled circuits : Exercise
EXERCISE
1.
A coil of inductance 31.8 mH and resistance 10 Ω is connected
in parallel with a capacitor across a 250V, 50Hz supply. Determine the value of
capacitance if no reactive current is taken from supply.
Hint:
The circuit is at resonance. Taking f0 = 50Hz, find C.
[Ans:
159 μF]
2.
Prove that the impedance of the circuit shown in the figure is equal to R and
is therefore independent of frequency if R2 = . Find the value of the impedance
for L = 0.02 H and C = 100 μF.
[Ans:
14.14 Ω]
3.
An inductive circuit of resistance 202 and inductance 0.01H is connected to a
250V, 50Hz supply. What capacitance must be connected in parallel with this
inductive circuit to produce resonance? Find the total current from the supply
and the current in each branch.
[Ans: 721 μF, 36.1A, 56.6A, 67.2A]
4.
Determine the value of C in the network shown in the figure to yield resonance.
[Ans: 24 mF]
5.
A variable inductive reactance XL is connected in parallel with a
series combination of resistance R and capacitive reactance XC. For
resonance derive an expression for XL in terms of R and XC.
Ans
: [R2 +Xc2 / Xc]
Electric Circuit Analysis: Unit V: Resonance and coupled circuits : Tag: : Resonance | Electric Circuit Analysis - Exercise
Electric Circuit Analysis: Unit V: Resonance and coupled circuits
Under Subject
Electric Circuit Analysis
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