fbpx
Breaking News
Home » AC Fundamentals » Why the Circuit Power factor (Cos θ) Decreases, when Inductance (L) or inductive reactance (XL) increases, In inductive circuit?

Why the Circuit Power factor (Cos θ) Decreases, when Inductance (L) or inductive reactance (XL) increases, In inductive circuit?

 Why the Circuit Power factor  (Cos θ) Decreases, when Inductance (L) or inductive reactance (XL) increases, In inductive circuit?
OR
Explain the statement that  “ the Circuit Power factor  (Cos θ) Decreases, when Inductance (L) or inductive reactance (XL) increases”

Explanation:  
Suppose, 
when Inductance (L) = 0.02H

V=220, R= 10 Ω, L=0.02 H, f=50Hz.

XL = 2πfL = 2 x 3.1415 x 50 x 0.02 = 6.28 Ω

Z = √ (R2+XL2) = √ (102 + 6.282) = 11.8 Ω
Cos θ = R/Z = 10/11.05 = 0.85
 
Now we increases Inductance (L) form 0.02 H to 0.04 H,
V=220, R= 10 Ω, L=0.04 H, f=50Hz.
XL = 2πfL= 2 x 3.1415 x 50 x 0.04 = 12.56 Ω
Z = √ (R2+XL2) = √ (102 + 12.562) = 16.05 Ω
Cos θ = R/Z = 10/16.05 = 0.75
 
Conclusion:

We can see that, When inductance (L) was 0.02, then circuit current were 18.64 A, and Circuit power factor was (Cos θ) = 0.85.

But, when Circuit inductance increased from 0.02H to 0.04 H, then  Power Factor (Cos θ) decreased from 0.85 to 0.75.

Hence proved,

In inductive circuit, when inductive reactance XL increases, the circuit power factor also Decreases.
ETJLCPCB - Prototype 10 PCBs for $2 + 2 days Lead Time
China's Largest PCB Prototype Enterprise, 300,000+ Customers & 10,000+ Online Orders Per Day
Inside a huge PCB factory

About Electrical Technology

All about Electrical & Electronics Engineering & Technology. Follow , Facebook , Twitter , Instagram, Pinterest, YouTube, & Linkedin to get the latest updates or subscribe Here to get latest Engineering Articles in your mailbox.

Check Also

Short Circuit Currents faults And Symmetrical Components

Short Circuit Currents And Symmetrical Components

Short Circuit Currents And Symmetrical Components (Manuel Bolotinha) Short Circuit Faults and Currents Short-circuits can …

Leave a Reply

Your email address will not be published. Required fields are marked *