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In a series RLC circuit having resistance R = 2 Ω, and excited by voltage V = 1 V, the average power is 250 mW. The phase angle between voltage and current is ___________(a) 75°(b) 60°(c) 15°(d) 45°The question was asked by my school principal while I was bunking the class.Asked question is from Advanced Problems Involving Complex Circuit Diagram in portion Network Theory and Complex Circuit Diagram of Network Theory

Answer»

The correct CHOICE is (d) 45°

The best explanation: VI cos θ = 0.25 or I cos θ = 0.25

Or, Z cosθ = 2

Or, \(\frac{V}{I}\) cos⁡θ = 2

Or, cos θ = \(\frac{1}{\sqrt{2}}\)

So, from the above EQUATIONS, cos θ = 0.707 and θ = 45°.



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