A 415 V, 3-phase voltage is applied to a balanced star connected purely resistive load of 10 Ω. What is the ratio of reactive power to active power?

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Power Triangle

qImage670764cde9a581c050221ee3

The power factor is given by:

\(cosϕ={P\over S}\)

where, cosϕ = Power factor

P = Active Power

Q = Reactive Power

S = Apparent Power

Explanation

Given that the load is purely resistive.

So, the reactive power (Q) = 0 because the resistor is an energy-dissipating element, not an energy-storing element.

\({Q\over P}=0\)

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