https://file.aiquickdraw.com/mathbot/file/17291312864696a02ybxo.jpg

The image shows a circuit with an AC input of 120 Vrms passing through several components: a transformer, full-wave rectifier, filter, 5V regulator, and a load. The question is asking for the voltage at point **C**, which is after the **full-wave rectifier**.

Here's a breakdown:

1. **Input voltage at A (AC input)** is 120 Vrms.
2. The transformer has a **10:1 ratio**, meaning it steps down the voltage. The secondary side at B would have:
   \[
   V_{B} = \frac{120 \text{ Vrms}}{10} = 12 \text{ Vrms}
   \]
3. After the **full-wave rectifier** at point **C**, the peak voltage \( V_p \) can be calculated from the RMS voltage:
   \[
   V_p = V_{rms} \times \sqrt{2} = 12 \times 1.414 \approx 16.97 \text{ V}
   \]
4. However, the full-wave rectifier introduces a diode drop (about 2 diode voltage drops in total for a full-wave rectifier using silicon diodes), which subtracts around 1.4V (0.7V per diode). This results in:
   \[
   V_p \approx 16.97 - 1.4 = 15.57 \text{ V}
   \]

Therefore, the voltage at point **C** is approximately **15.6 Vp**.

The correct option is **15.6 Vp**.

Do you want more details or have any questions?

Here are 5 related questions for further exploration:
1. What is the difference between peak and RMS voltage?
2. How does a transformer step down voltage?
3. Why do rectifiers drop voltage, and how is the drop calculated?
4. What role does a filter play in this circuit?
5. What is the purpose of the 5V regulator in this circuit?

**Tip:** In full-wave rectification, both halves of the AC signal are used, which improves efficiency compared to half-wave rectification.

What is the voltage at point C? Assume the AC input is 120 Vrms.

Learn how to calculate the voltage at point C in an AC to DC conversion circuit. This problem involves a 120 Vrms AC input, transformer with a 10:1 step-down ratio, and a full-wave rectifier. Key concepts include transformer voltage step-down, rectification, and diode voltage drops.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation