What is the turns ratio i.e, transformer ratio {n_s}:{n_p} in an ideal transformer which increases ac voltage from 220 V to 33000 V?

The turns ratio, often denoted as {n_s}:{n_p}, represents the ratio of the number of turns in the secondary winding (n_s) to the number of turns in the primary winding (n_p) of a transformer. In an ideal transformer, neglecting losses and impedance, the turns ratio is directly proportional to the voltage ratio.

To calculate the turns ratio, we can use the voltage ratio formula:

Voltage ratio (V_s:V_p) = n_s / n_p

Given that the voltage is increased from 220 V to 33000 V, the voltage ratio is:

Voltage ratio (V_s:V_p) = 33000 V / 220 V = 150

Since the turns ratio is equal to the voltage ratio in an ideal transformer:

Turns ratio {n_s}:{n_p} = 150:1

This means that the secondary winding has 150 turns for every 1 turn in the primary winding.