Output Resistance of Wilson Current Mirror Calculator

Formula Used:

\[ R_{wcm} = \frac{\beta_1 \times R_{f3}}{2} \]

Output Resistance of Wilson Current Mirror (Rwcm):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Output Resistance of Wilson Current Mirror?

The Output Resistance of Wilson Current Mirror is calculated by the sum of the two resistors that are in series connection. It represents the resistance seen at the output of the Wilson current mirror circuit, which is an important parameter in analog circuit design for determining the circuit's performance and stability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{wcm} = \frac{\beta_1 \times R_{f3}}{2} \]

Where:

\( R_{wcm} \) — Output Resistance of Wilson Current Mirror (Ω)
\( \beta_1 \) — Transistor Current Gain 1 (dimensionless)
\( R_{f3} \) — Finite Output Resistance 3 (Ω)

Explanation: This formula calculates the output resistance by taking the product of the transistor current gain and finite output resistance, then dividing by two.

3. Importance of Output Resistance Calculation

Details: Accurate output resistance calculation is crucial for designing stable current mirror circuits, ensuring proper current matching, and maintaining circuit performance across various operating conditions.

4. Using the Calculator

Tips: Enter Transistor Current Gain 1 (β₁) and Finite Output Resistance 3 (Rf₃) values. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Wilson Current Mirror?
A: A Wilson current mirror is a three-transistor circuit that provides improved current matching and higher output impedance compared to basic current mirrors.

Q2: Why is output resistance important in current mirrors?
A: Higher output resistance provides better current source characteristics, making the output current less sensitive to voltage variations.

Q3: What are typical values for Transistor Current Gain?
A: Transistor current gain (β) typically ranges from 50 to 200 for bipolar junction transistors, depending on the specific transistor type.

Q4: How does this calculator help circuit designers?
A: It provides quick calculation of output resistance, helping designers optimize current mirror performance and ensure circuit stability.

Q5: Are there limitations to this formula?
A: This formula provides an approximation and may need adjustment for very high-frequency applications or when considering parasitic elements.