Transformer utilization factor of a center tapped full wave rectifier is ___________1. A. 0.6232. B. 0.6783. C. 0.6934. D. 0.625

Break Down the Problem

1. We need to calculate the Transformer Utilization Factor (TUF) for a center-tapped full wave rectifier.
2. We will use the formula for TUF to find the correct answer among the options provided.

Relevant Concepts

The Transformer Utilization Factor (TUF) for a full wave rectifier is given by the formula:

$\text{TUF} = \frac{I_{DC}}{I_{RMS}} \times \frac{V_{DC}}{V_{RMS}}$

Where:

• $I_{DC}$ is the direct current output,
• $I_{RMS}$ is the root mean square current,
• $V_{DC}$ is the direct current voltage,
• $V_{RMS}$ is the root mean square voltage.

Analysis and Detail

For a center-tapped full wave rectifier, we know that:

• The DC output voltage $V_{DC} = \frac{V_{m}}{2}$ where $V_{m}$ is the peak voltage.
• The RMS voltage $V_{RMS} = \frac{V_{m}}{2\sqrt{2}}$.
• The current is split between the two halves, so $I_{DC}$ will depend on the load characteristics.

However, we can use the known value for the TUF of a center-tapped full wave rectifier, which is generally calculated as approximately $0.6934$.

Verify and Summarize

Given the context and the formula, the Transformer Utilization Factor for a center tapped full wave rectifier is approximately $0.6934$. The calculation aligns with established electrical engineering principles.

Final Answer

The Transformer Utilization Factor of a center tapped full wave rectifier is C. 0.6934.