Question

A 50Hz transformer takes 75W input at 1.5A and 120V. If the primary winding resistance is 0.4Ω, find the no load power factor.

Answer 1

Explanation:

Given A 50 Hz transformer takes 75 W input at 1.5 A and 120 V. If the primary winding resistance is 0.4Ω, find the no load power factor

• So power input to transformer Po = 75 W
• Primary current Io = 1.5 A
• Primary voltage V1 = 120 V
• Primary resistance R1 = 0.4 ohms
• While primary winding loss in copper P c = Io^2 x R1
•                                                                     = (1.5)^2 x 0.4
•                                                                    = 0.9 W
• So loss of No load iron will be Pi = Po – Pc
•                                                       = 75 – 0.9
•                                                      = 74.1 W
• No load power factor cos θo = Po / V1 x Io
•                                             = 75 / 120 x 1.5
•                                            = 0.4116 (lagging)

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Answer 2

Answer:

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