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.

EasyEDA: Ideas for Circuit Design, Innovation for Electronics Access
Free Circuit Design: Schematic - Simulation - PCB Layout - Gerber Viewer
Cheapest PCB Prototype: Only $2 for 10pcs, 24 hours Quick Turn, DHL Delivery in 3 days

About Electrical Technology

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

Check Also

What is PLC (Programmable Logic Controller)

Programmable Logic Controllers (PLC) for Industrial Control

PLC – Programmable Logic Controllers for Industrial Control PLC (Programmable Logic Controllers) are widely used …

Leave a Reply

Your email address will not be published.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