An ideal transformer steps down a rms transmission line voltage of to rms for…

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

An ideal transformer steps down a rms transmission line voltage of 6600 V6600\,\text{V} to 220 V220\,\text{V} rms for domestic distribution. The secondary is connected to a net household resistance of 44 Ω44\,\Omega. (i) Calculate the rms current in the secondary circuit and its corresponding peak current. (ii) Determine the average electrical power supplied to the household load. (iii) Using the assumption of an ideal transformer, find the rms and peak currents in the primary winding. (iv) Briefly explain, with reference to your numerical results, why transmitting electric power at high voltage reduces resistive losses in the transmission lines.

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