Chapter 21, Problem 35P

To determine

To find the ratio of $\frac{N_S}{N_P}$.

Answer to Problem 35P

Solution:

The ratio of the output voltage (V_S)to the input voltage ( V_P)is given by the relation, $\frac{N_S}{N_P}=\frac{V_S}{V_P}$.

Explanation of Solution

Given info:

From the figure,

Primary voltage, ${\text{V}}_{\text{p}}=\text{ 24}0\text{ kV }=\text{ 24}0000\text{V}$

Secondary voltage, ${\text{V}}_{\text{s}}=\text{ 72}00\text{ V}$

A transformer consists of two coils namely primary coil and secondary coil. The transformer may of step-up or step-down type. If the number of coils on the primary and secondary coils is denoted by ${\text{N}}_{\text{P}}$ and ${\text{N}}_{\text{S}}$ respectively, then the ratio of the output voltage (${\text{V}}_{\text{S}}$)to the input voltage (${\text{V}}_{\text{P}}$)is given by the relation,

$\begin{array}{l}\frac{N_S}{N_P}=\frac{V_S}{V_P}\\ =\frac{7200}{240000}=\frac{1}{33.33}\end{array}$

It must be noted that the primary and secondary coils are input and output coils respectively.