If a high-voltage transformer has 150 turns on the primary side and 25,000 turns on the secondary side, what voltage will be induced in the secondary side if supplied with 240 V?

To determine the voltage induced in the secondary side of a transformer, you can use the transformer turns ratio formula, which states that the ratio of the primary voltage to the secondary voltage is equal to the ratio of the number of turns on the primary coil to the number of turns on the secondary coil.

The formula 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 on the primary side
• (N_s) is the number of turns on the secondary side

In this case, the primary side has 150 turns ((N_p = 150)) and the secondary side has 25,000 turns ((N_s = 25,000)). The primary voltage supplied is 240 V.

Rearranging the formula to solve for the secondary voltage gives:

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

Plugging in the known values:

[ V_s = 240 , V \times \frac