Question

You can use three inductors to physically replicate the function of a transformer. (i.e. if you...

You can use three inductors to physically replicate the function of a transformer. (i.e. if you don’t have a transformer you just need three inductors in a tee shape to build the circuit.)T or F. Explain.

Phasor analysis can be used to analyze circuits with any periodic input. T or F

Explain:__________________________________________________________

Phasor analysis can only be used for single frequency sinusiodal circuits.T or F

Explain:_____

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Answer #1

Q1. F

Three inductors can't be arranged together to operate them like a transformer, because for transformer we need a core which is made of magnetic material. On this core both primary and secondary windings are wound so that flux generated by current in the primary can generate a flux in the core and that links the secondary core. If we try to make inductors to operate as transformer then air becomes the medium to carry the flux and to magnetize the medium we require very high current to flow (as air has high reluctance) so it is practically impossible.

Q2. T

Phasor is the implementation of the periodic time varying signals into real-imaginary plane (with the help of polar form representation) where magnitude is the rms value of the signal and angle is the phase value of the signal. This is the LTI representation of the periodic signal, this is used for simplification of calculations.

Q3. T.

As phasors are representation of a periodic signal with respect to a particular time period of reference. So signals woth different time periods belong to different plane representation in phasor form. So only signals with similar time period i.e. frequency can be used in a single phasor diagram. If more than one frequencies are present in the circuit, then a phasor should be drawn to separately represent each different frequency signal.

Thank you.

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