Network Theory Quiz 2

The voltage applied to a load consisting of a 20 Ω resistor in series with an inductive reactance 3.77 Ω is 141.4 cos(ωt + 45º). The reactive power is

For series RLC circuit the power factor at the lowest half power frequency is

In the circuit given below, the current i₁ will be:

Where, i₂ = 14.14 sin(ωt + 30°)

i₃ = 28.28 sin(ωt – 60°)

Calculate the phase difference between current I with respect to voltage V₁ in the circuit.

A circuit consisting of a resistor R=20 Ω and inductance L=0.05 H is energised by the voltage source 
v(t)=250sin(100πt) + 50sin(300πt + π/3) + 20sin(500πt + 5π/6) . The power absorbed by the resistor and the rms value of the current through it respectively are _______

Find the active power supplied by the source?