Question

Write down an expression for sending end voltage and current in terms of receiving end voltage and current of a transmission line. Define any terms used.

Answer 1

The expression for the sending end voltage and current in terms of receiving end voltage and current of a transmission line is derived using the transformer equation. Vs = Vr * (Np/Ns) and Is = Ir * (Ns/Np), where Np is the number of turns in the primary coil and Ns is the number of turns in the secondary coil.

Step-by-step explanation:

The expression for the sending end voltage and current in terms of receiving end voltage and current of a transmission line can be derived using the transformer equation. The transformer equation states that the ratio of the secondary voltage to the primary voltage in a transformer is equal to the ratio of the number of turns in the secondary coil to the number of turns in the primary coil.

Let's denote the sending end voltage as Vs, the sending end current as Is, the receiving end voltage as Vr, and the receiving end current as Ir. Using the transformer equation, we can express Vs in terms of Vr and Is in terms of Ir:

Vs = Vr * (Np/Ns)

Is = Ir * (Ns/Np)

Here, Np represents the number of turns in the primary coil, and Ns represents the number of turns in the secondary coil.