What will be the expected secondary voltage when 20 volts are applied to a transformer with a primary of 200 turns and a secondary of 500 turns?

To determine the expected secondary voltage in a transformer, you can use the transformer turns ratio formula, which relates the voltages and the number of turns in the primary and secondary windings. The formula is as follows:

[

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

]

Where:

• (V_s) is the secondary voltage,

• (V_p) is the primary voltage,

• (N_s) is the number of turns in the secondary winding,

• (N_p) is the number of turns in the primary winding.

In this case, the primary voltage ((V_p)) is 20 volts, the primary turns ((N_p)) are 200, and the secondary turns ((N_s)) are 500. Plugging these values into the formula gives:

[

\frac{V_s}{20V} = \frac{500}{200}

]

Calculating the right side, we find:

[

\frac{500}{200} = 2.5

]

This means:

[

\frac{V_s}{20V} = 2.5

]

To find (V_s