Electronics - Capacitors - Discussion

Discussion Forum : Capacitors - General Questions (Q.No. 70)
70.
What is the impedance of an ac RC parallel circuit if the resistance is 12 ohms and the capacitive reactance equals 5 ohms?
0.2 ohms
3.5 ohms
4.6 ohms
13 ohms
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
24 comments Page 2 of 3.

BANAR said:   9 years ago
How it has 4.16? The correct answer is 13 ohm.

Samir said:   9 years ago
It's parallel circuit connection that's why the equation for it,

Z = RXC / SQRT OF (R^2 + XC^2).

And for series connection as you calculated above method:

z = sqrt of r^2 + xc^2.

Thanks.

Sagar dukre said:   9 years ago
I agree with you @Dsce.

The answer is 13ohm.

Dsce said:   9 years ago
Z = R + jXc
= 12 + j5
= sqrt(12^2 + 5^2)
= sqrt144 + 25
= 13 ohm.

BHADMANATHAN.C said:   1 decade ago
Impedance values for, parallel circuit is,

Z = V/I.

=> IR/I = R. So R = Xc = 5ohm.

For series circuit, Z = R+jXc.

Vikas choudhary said:   1 decade ago
It is given in parallel so net impedance is given:

Z = (R*-jXc)/R-jXc= -j60/5-j12 by rationalisation we get:

720-j300/168 now taking magnitude.

Square root(720^2+300^2)/169 == 4.6153.

Glenn said:   1 decade ago
Rathi is correct the formula is RXc/sqrt(R^2 +Xc^2).

Chayan said:   1 decade ago
Hello @Subbu,

The formula you have used is for parallely connected DC Resistance. Here we are given the reactance (resistance for ac analysis, the resistance a capacitor and an inductor introduces in a circuit is called reactance, which is given by Xc and Xl) and resistance. And as they are connected in parallel so the net resistance i.e. impedance will be R/sqrt (1+ (RWC) ^2).

Chayan said:   1 decade ago
Hello Vid,

Your concept is right but the calculation you have done, I think is not correct the result is 0.198 or 0.2ohm.

I can't understand how the other people gets the answer 4.7 ohm.

Please make it clear.

Rathi said:   1 decade ago
Impedance of RC Parallel circuit is RXc/(sqrt(Xc^2+R^2))
= 12x5/sqrt(25+144)
= 4.6154 ohms


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