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
 
                                    
 resistor is in series with a 15 mH coil across a 10 kHz ac source. The magnitude of the total impedance isDiscussion:
11 comments Page 1 of 2.
                
                        Debashri said: 
                         
                        1 decade ago
                
                No the right ans is 1200 ohm.
Formula is xc=1/2 x 3.14 x 10kohm x 15mH
after that Z = root(R2+Xc2) than ans is 1200 ohm.
                Formula is xc=1/2 x 3.14 x 10kohm x 15mH
after that Z = root(R2+Xc2) than ans is 1200 ohm.
                        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.
                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.
                        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.
                
                        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.
                zl = 2*pi*f*l.
= 2*pi*10000*15/1000.
So answer B is correct.
                        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.
                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.
                        Vishu said: 
                         
                        9 years ago
                
                I didn't get exactly how to calculate impedance?
Can anyone explain it briefly?
                Can anyone explain it briefly?
                        Oisin said: 
                         
                        8 years ago
                
                Here, Z = √( R-squared + XL squared - XC squared).
                
                        ARKA said: 
                         
                        8 years ago
                
                I think the right answer is 1200 ohm.
                
                        Mahesh said: 
                         
                        7 years ago
                
                I think the right answer is 1200 Ω.
                
                     (2)
                
            
                        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.
                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.
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