To produce 600 volts in the secondary coil of a transformer with a primary coil of 28 volts and 100 turns, how many turns are required in the secondary coil?

To determine the number of turns required in the secondary coil of a transformer to produce a specific voltage, you can use the transformer turns ratio formula. This formula relates the primary voltage, secondary voltage, primary turns, and secondary turns. The equation can be expressed as:

[ \frac{V_p}{V_s} = \frac{N_p}{N_s}

]

Where (V_p) is the primary voltage, (V_s) is the secondary voltage, (N_p) is the number of turns in the primary coil, and (N_s) is the number of turns in the secondary coil.

In this scenario, the primary voltage is 28 volts, the secondary voltage needed is 600 volts, and the primary coil has 100 turns. Plugging in these values, we can rearrange the formula to solve for (N_s):

[ N_s = N_p \cdot \frac{V_s}{V_p} ]

Substituting in the known values, we have:

[ N_s = 100 \cdot \frac{600}{28} ]

Calculating the right side, you first divide 600 by 28, which gives approximately 21.