Question

A transformer has an input of 17 V and an output of 46 V. If the input is changed to 76 V, what the output would be? Calculate to one decimal.

Answer 1

Solution

Step1.

For Ideal transformer, Φ_P = Φ_S (Flux linkage in the primary and secondary are equal)

Thus, for ideal tranformer

N_P /N_S =V_P /V_S= Turn Ratio       .............(1)

where, N_P = Number of Primary Winding(Turns)

         N_S = Number of Secondary Winding(Turns)

        V_P = Primary Voltage(Input Voltage)

        V_S = Secondary Voltage(Output Voltage)

Step2.

Given: Case1    V_P= 17V, V_S =46V

From equation (1), we have

Turn Ratio=17/46        ........(2)

Case 2    V_P =76V, V_S=V_O

From equation (1), we have

Turn Ratio=76/V_O       .........(3)

Step 3.

from equation (2) and (3), we have

V_O =(76*46)/17=205.6V

Output is 205.6V