Electrical Engineering - RL Circuits - Discussion

Discussion Forum : RL Circuits - General Questions (Q.No. 6)
6.
A 1.2 k resistor is in series with a 15 mH coil across a 10 kHz ac source. The magnitude of the total impedance is
152.6
1,526
1,200
942
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Srin said:   4 years ago
Good explanation, Thanks @Siddharth.
(1)

Siddharth said:   7 years ago
R = 1.2k ohm = 1.2 * 1000 = 1200 ohm
L = 15mH = 15 * 10^-3 = 0.015H
F = 10kHz = 10 * 1000 = 10,000 Hz
Impedance Z = (?)

XL = 2 * fL
XL = 2 * 3.14 * 10,000 * 0.015,
XL = 942..

Impedance Z = √ (R^2 + XL^2).
Z = √ (1200^2 + 942^2),
Z = 1525.86.
Ans is Z = 1526.

Mahesh said:   7 years ago
I think the right answer is 1200 Ω.
(2)

ARKA said:   8 years ago
I think the right answer is 1200 ohm.

Oisin said:   8 years ago
Here, Z = √( R-squared + XL squared - XC squared).

Vishu said:   8 years ago
I didn't get exactly how to calculate impedance?

Can anyone explain it briefly?

Madhu said:   1 decade ago
Option B correct.

R = 1200 ohms.
XL = (1/(2*pi*f*L)).
XL = (1/(2*3.14*10k*15m)).
Z = square root of(R2+XL2).
Z = 1526 ohms.

Waqas habib said:   1 decade ago
Impedence of inductor is given by,

zl = 2*pi*f*l.
= 2*pi*10000*15/1000.

So answer B is correct.

Jignesh said:   1 decade ago
Simple when we connect 1.2 k resistor is in series with a 15 mH its must > 1.2k ohm so answer is definitively B.

Abhishek maji said:   1 decade ago
Yes, option B is correct answer.

Total impedance is given by, Z = square root of (R^2+XL^2).

Where, R=1.2*10^3 and XL=2*pi*10*10^3*15*10^-3.

That gives Z=1525.86 ohm.


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