Question

An ac power generator produces 73.37 a (rms) at 4623 v. the voltage is stepped up to 105,033 v by an ideal transformer, and the energy transmitted through a long-distance power line with a total resistance of 100 ω. what is the rms current in the long-distance line?

Answer 1

Step up transformer is a device which is used to step up the voltage which is input with some value.

This is based upon the principle of mutual inductance and in this the voltage input and voltage output is different because of number of turns.

Here if ideal transformer is given then power input and power output of the transformer must be same as there is no power loss in ideal transformer.

So we can write

$i_pV_p = i_sV_s$

here

$i_p$ = 73.37 A

$V_p$ = 4623 V

$V_s$ = 105033 A

now using above equation we will have

$73.37*4623 = 105033*i_s$

solving above we will have

$i_s = 3.23 A$