Two ideal single-phase transformers are used in cascade for power transmission…
PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current
Problem
Two ideal single-phase transformers are used in cascade for power transmission between a generator and a distant load. The generator delivers an rms voltage of 440V to the primary of transformer T1. Transformer T1 has Ns1:Np1=40:1 and feeds the primary of transformer T2 through long transmission lines. Transformer T2 has Ns2:Np2=1:20 and its secondary supplies a resistive load that draws 15A (rms).
Assuming both transformers are ideal and there are no line losses, answer the following:
(i) Calculate the rms voltage at the output of transformer T1.
(ii) Determine the rms current in the line between T1 and T2.
(iii) Find the rms voltage finally delivered to the load.
(iv) Compute the rms current drawn from the 440V source.
(v) Comment on how the cascade arrangement affects the current in the long transmission line compared with transmitting the same power directly at 440V.