Electronics - RLC Circuits and Resonance - Discussion

Discussion Forum : RLC Circuits and Resonance - General Questions (Q.No. 9)
9.
What is the total current?

56.6 mA
141 mA
191 mA
244 mA
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
19 comments Page 1 of 2.

Syed Shakeeb said:   3 years ago
Thanks @Vikash.

Nesma said:   4 years ago
How we determine Xc and XL? Please explain me.

Vikash kushwaha said:   5 years ago
Let I = I1 + I2 + I3.
NOW Xl=2πfL = 2 x 3.14 x 750x4 ~ 18850ohm.
also Xc=1÷{2πfC}= 2 x 3.14 x 0.04 x 10^-6~ 5305ohm.
I= √{(497/4000)^2 + ((497/18850)-(497/5305)^2.
I= ~0.141A = 141mA.

MarkT said:   5 years ago
The answer to the choices is correct!

Xl=2piFL= 6000pi.
Xc=1/2piFC=5305.16477.

Then solve for the total impedance of RLC circuit using.

Z=1/square root (1/R^2+1/Xc^2+1/Xl^2).
Z= 3517.007 ohms.

Therefore using Ohms law,

I=V/Z= 497V/3517.007= 141.31mA.

I hope it helps!

Ram said:   6 years ago
V=ir.
I=v/r.
I=497/4.
124. 25.

Deepu said:   8 years ago
You are correct @Vijay.

But Can anyone explain why can't we use formula?

Is= √((V/R)^2+((V/XL)-(V/XC))^2).

KIRAN V said:   9 years ago
You are correct @Vijay Bhovani.

Heshan Shalanka said:   10 years ago
Guys this is how calculated this in J operation theories.

XC = 5305 and XL+18840.

(4000<0 degree)(-5305i)/((-5305i+4000<0)) = 3193.848<-37.016 degrees.

And then,

(3193.848<-37.016 degrees)(18840i)/((3193.848<-37.016 degree)+(18840i)).

This equal to 3517.1255 ohm.

And i.e. the total impedance.

So that formula of V = IR.

I = 497/3517.1255 = 0.141308 Amp = 141.308 mA.

Chardice said:   10 years ago
As we analyze the circuit it is a parallel RLC so we need to get the reciprocal of R, XL, XC that is conductance, susceptance in order to get the admittance.

Rajendra said:   1 decade ago
141mA is correct answer.

Use formula total current = 1/2(Ir2+square root(Il-Ic)2).


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