Transformer, AC Source, and a Battery

[drumercalzone]

Homework Statement

Using an AC signal generator v_s, a transformer with turns ratio n = 1, and a battery V_B, sketch a circuit that will generate the output signal v_out = v_s + V_B

Homework Equations

$$\frac{V_2}{V_1} = \frac{N_2}{N_1}$$

The Attempt at a Solution

Here's my sketch, but I feel like I'm missing something conceptually. Because if this were the case, couldn't the battery be on the bottom wire since we're dealing with an AC signal source?

 

[berkeman]

Homework Statement

Using an AC signal generator v_s, a transformer with turns ratio n = 1, and a battery V_B, sketch a circuit that will generate the output signal v_out = v_s + V_B

Homework Equations

$$\frac{V_2}{V_1} = \frac{N_2}{N_1}$$

The Attempt at a Solution

Here's my sketch, but I feel like I'm missing something conceptually. Because if this were the case, couldn't the battery be on the bottom wire since we're dealing with an AC signal source?

Looks fine to me. The battery can go in either the bottom or top leg of the secondary. It will still add a DC offset to the output.

 

[drumercalzone]

Thank you for your help! It just seemed too easy!

 

[berkeman]

You are welcome.

One of the things that makes this work in this example, is that the internal resistance of an ideal voltage source is zero. So putting the DC voltage source in series with the transformer does nothing but add an offset voltage.