SSC JE Electrical Engineering 23 Jan 2018 Evening Paper

Question : 146 of 200

Marks: +1, -0

Deter mine the phase angle (in degrees) of a balanced 3-phase star connected system, if the first and the second wattmeter show readings of 200 W and 1200 W respectively.

Validate

Solution:

\tanϕ=√3{|({w_1-w_2}/{w_1+w_2})|}

=√3|({200-1200}/{1200+200})|

=√3|{-1000}/1400|=√3/1.4

⇒\tanϕ=1.237

⇒ϕ=51°

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