35.7. RC Circuit Analysis

Try these first

1. 1.

   What components make up an RC circuit?

   Hint

   Think about what `R` and `C` stand for.

2. 2.

   Define cut-off frequency.

   Hint

   It's a transition point for gains.

3. 3.

   What is the formula for cut-off frequency in an RC circuit?

   • RC
   • 1/(RC)
   • C/R

   Hint

   Consider the relationship of R and C in terms of frequency.

4. 4.

   True or False: Bode plots can show both gain and phase shift.

   • True
   • False

   Hint

   Think of what Bode plots are typically used for.

5. 5.

   A circuit has a resistor of 1kΩ and a capacitor of 10µF. Calculate the cut-off frequency and explain the significance of this value.

   Hint

   Use the formula ω_c = 1/(RC).

6. 6.

   Sketch a Bode plot for an RC circuit with known cut-off frequency. Explain the characteristics of gain and phase over this frequency range.

   Hint

   Recall the gain's behavior in relation to the cut-off frequency.