the figure given below shows the application of transformer coupling. the transformer has a turns ratio of…
the figure given below shows the application of transformer coupling. the transformer has a turns ratio of 1:1 and input voltage values of a = 36 v, b = 46 v, and c = 26 v. determine the steady dc voltage in the secondary.
Answer
Explanation:
Step1: Recall transformer - DC property
Transformers do not transfer DC. The steady - state DC voltage in the primary is the average value of the primary voltage waveform. For a sinusoidal - like waveform with an offset, the DC component in the primary will be transferred to the secondary without change when the turns ratio $N_p:N_s = 1:1$.
Step2: Calculate the DC component in the primary
The DC component in the primary is the average value of the three given voltage values. The formula for the average of three numbers $A$, $B$, and $C$ is $\frac{A + B + C}{3}$. Substitute $A = 36$ V, $B = 46$ V, and $C = 26$ V into the formula: $\frac{36+46 + 26}{3}=\frac{108}{3}=36$ V.
Step3: Use the turns - ratio relationship
Since the turns ratio $N_p:N_s=1:1$, the steady - state DC voltage in the secondary $V_s$ is equal to the steady - state DC voltage in the primary $V_p$. So $V_s = 36$ V.
Answer:
36