Question

Write the following steps in a sequential order to find the current and voltage in the secondary coil. The ratio of the number of turns of a primary to a secondary coil, current through the primary coil and input power are given.
(a) Let the given data be taken as $\frac{N_1}{N_2}$ (turn-ratio), $i_1$, (input current) and $P$ (input power).

(b) Substitute the given values of $\frac{N_1}{N_2}$ and $i_1$, in the above formula and get the value of $i_2$.

(c) Write the relation between turn-ratio and the currents as $\frac{N_1}{N_2}=\frac{i_2}{i_1}$, where $i_2$ is the current in the secondary coil.

(d) Write the relation between input power and output power in terms of $V_1,i_1,V_2,i_2$ i.e. $V_1{i}_1=V_2{i}_2=P$, where $V_1$ and $V_2$ are the voltage in the primary and secondary coils respectively.

(e) Substitute the values of $i_2$ and P in the above relation to get the value of $V_2$.

• A. $abdce$
• B. $bcade$
• C. $acbde$
• D. $dbcae$

Answer 1

The correct option is C $acbde$

Let the given data be taken as $\frac{N_1}{N_2}$ (turn-ratio), $i_1$, (input current) and P (input power) (a).

Write the relation between turn-ratio and the currents as $\frac{N_1}{N_1}=\frac{i_2}{i_1}$, where $i_2$ is the current in the secondary coil (c).

Substitute the given values of $\frac{N_1}{N_2}$ and $i_2$, in the above formula and get the value of $i_2$ (b).

Write the relation between input power and output power in terms of $V_1,i_1,V_2,i_2$ i.e. $V_1{i}_1=V_2{i}_2=P$, where $V_1$ and $V_2$ are the voltages in the primary and secondary coils respectively (d).

Substitute the values of $i_2$ and P in the above relation to get the value of $V_2$ (e).