Use the node-voltage method to find the steady-state expression for io in the circuit seen in (Figure 1) if ig= 4 cos2500t A and vg= 16 cos(2500t+90∘) V. Write the steady-state expression for io(t) as io=Iocos(ωt+ϕ), where −180∘<ϕ≤180. Find the numerical value of Io. Find the numerical value of ϕ.

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Magnetically Coupled Circuit

When two loops of a circuit with or without any physical contact affect each other with the help of magnetic fields, the circuits are said to be magnetically coupled. Magnetically coupled circuits are important parameters in electrical engineering. The most common example of a magnetically coupled circuit is a transformer. The transformer is a device used to transfer electric energy from one circuit to another. The primary winding and secondary winding are the main elements of a transformer. The primary winding creates varying magnetic flux and the secondary winding induces the electromotive force due to the effect of magnetic flux created by the primary winding.