What is the relationship between primary impedance (Zp) and secondary impedance (Zs) in a transformer?

What is the relationship between primary impedance (Zp) and secondary impedance (Zs) in a transformer?

• A. Zs = a^2 * Zp
• B. Zp = a^2 * Zs
• C. Zp = a * Zs
• D. Zs = a * Zp

Answer: (A)

In a transformer, the relationship between primary impedance (Zp) and secondary impedance (Zs) is defined by the square of the turns ratio, represented as \( a \). The turns ratio \( a \) is the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. When a transformer operates, the impedances on the primary and secondary sides are related by the following equation: \[ Z_s = a^2 \cdot Z_p \] This equation signifies that the secondary impedance is equal to the primary impedance multiplied by the square of the turns ratio. This direct relationship indicates that if the turns ratio \( a \) is increased, the secondary impedance will increase significantly, reflecting a transformation in the electrical characteristics of the circuit as managed by the transformer. Understanding this relationship helps in analyzing and designing transformer circuits, ensuring that engineers can accurately predict how the primary and secondary sides will interact under various load conditions.

In a transformer, the relationship between primary impedance (Zp) and secondary impedance (Zs) is defined by the square of the turns ratio, represented as ( a ). The turns ratio ( a ) is the ratio of the number of turns in the primary winding to the number of turns in the secondary winding.

When a transformer operates, the impedances on the primary and secondary sides are related by the following equation:

[ Z_s = a^2 \cdot Z_p ]

This equation signifies that the secondary impedance is equal to the primary impedance multiplied by the square of the turns ratio. This direct relationship indicates that if the turns ratio ( a ) is increased, the secondary impedance will increase significantly, reflecting a transformation in the electrical characteristics of the circuit as managed by the transformer.

Understanding this relationship helps in analyzing and designing transformer circuits, ensuring that engineers can accurately predict how the primary and secondary sides will interact under various load conditions.