How to Calculate Voltage and Current in a Transformer Circuit

How many primary and secondary windings are there in the transformer?

There are 275 primary windings and 834 secondary windings in the transformer.

What is the voltage across the secondary coil?

The voltage across the secondary coil is 75.6 V.

What is the current in the secondary coil if it is connected across a resistor?

Current in the secondary coil is 0.330 times the current in the primary coil. If we knew the current in the primary coil, we could use this equation to find the current in the secondary coil.

To solve this problem, we need to use the transformer equation, which relates the voltage and number of turns of the primary and secondary coils:

V1/V2 = N1/N2

where V1 and V2 are the voltages across the primary and secondary coils, respectively, and N1 and N2 are the number of turns in the primary and secondary coils, respectively.

To find the voltage across the secondary coil:

we can rearrange the transformer equation to solve for V2:

V2 = V1 * N2/N1

Substituting the given values, we get:

V2 = 25.0 V * 834/275 = 75.6 V

To find the current in the secondary coil:

We need to use Ohm's law: I = V/R

where I is the current, V is the voltage, and R is the resistance of the load connected to the secondary coil.

We are not given the value of the load resistance, so we cannot determine the current directly. However, we can use the fact that the transformer is ideal, meaning that it has no losses and the power input is equal to the power output:

V1 * I1 = V2 * I2

where I1 is the current in the primary coil, and I2 is the current in the secondary coil.

We can rearrange this equation to solve for I2:

I2 = (V1 * I1)/V2

Substituting the given values, we get:

I2 = (25.0 V * I1)/75.6 V

Simplifying, we get:

I2 = 0.330 * I1