1. What is the Amplifier Output Voltage Equation?

The amplifier output voltage equation calculates how the output voltage of an amplifier changes with frequency, particularly near the cutoff frequency. This is important for understanding frequency response in amplifier circuits.

2. How Does the Calculator Work?

The calculator uses the amplifier output voltage equation:

Where:

• \( V_{in} \) — Input voltage (V)
• \( f \) — Frequency (Hz)
• \( f_c \) — Cutoff frequency (Hz)
• \( V_{out} \) — Output voltage (V)

Explanation: The equation shows how the output voltage decreases as the frequency approaches and exceeds the cutoff frequency, following a first-order low-pass filter response.

3. Importance of Output Voltage Calculation

Details: Calculating the output voltage at different frequencies helps design and analyze amplifier circuits, ensuring proper signal amplification across the desired frequency range.

4. Using the Calculator

Tips: Enter input voltage in volts, frequency in Hz, and cutoff frequency in Hz. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens at the cutoff frequency?
A: At the cutoff frequency (f = f_c), the output voltage is 1/√2 (about 70.7%) of the input voltage, representing a -3dB point.

Q2: What is the relationship at frequencies much lower than cutoff?
A: When f ≪ f_c, V_out ≈ V_in (minimal attenuation).

Q3: What is the relationship at frequencies much higher than cutoff?
A: When f ≫ f_c, V_out ≈ V_in × (f_c/f) (voltage falls off proportionally with frequency).

Q4: Does this apply to all amplifier types?
A: This specific equation applies to first-order low-pass amplifier circuits. Other amplifier types may have different frequency responses.

Q5: How is cutoff frequency determined?
A: The cutoff frequency is typically determined by the amplifier's RC time constant (f_c = 1/(2πRC) for simple RC filters).