· In the circuit below assume the op-amps are ideal. The sinusoidal voltage source in the circuit below is generating a voltage given by v„ (t) = 10 v2cos(100t)(V). (a) Find the steady state expression for v,(t) (b) What would be the minimum value of Vec to ensure that neither of the op-amps are saturated? 100 0 200 0 100 μΕ 200 0 +Ve +Ve 200 2 + Vee Vn(t) O vo(t)

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**Circuit Analysis with Ideal Op-Amps**

In the circuit below, assume the op-amps are ideal. The sinusoidal voltage source in the circuit is generating a voltage given by \( v_{in}(t) = 10\sqrt{2}\cos(100t)(V) \).

**Tasks:**

(a) Find the steady state expression for \( v_o(t) \).

(b) What would be the minimum value of \( V_{cc} \) to ensure that neither of the op-amps are saturated?

**Circuit Diagram Details:**

- The circuit has two operational amplifiers in a dual-stage configuration.
- Each op-amp is powered by a dual supply of \( +V_{cc} \) and \( -V_{cc} \).
- The input voltage source \( v_{in}(t) \) is connected to the first resistor with a resistance of 200 Ω.
- The first op-amp is connected with feedback and forward resistors of 200 Ω each.
- The second op-amp also has feedback and forward resistors of 200 Ω each.
- There is a 100 Ω resistor connected between the first and second op-amp.
- A 100 μF capacitor is connected to the output of the second op-amp creating an integrator circuit.

**Problem Solving Approach:**

1. **Steady State Expression for \( v_o(t) \):**

   - Analyze the voltage gain for each op-amp using the resistor values provided.
   - Consider the frequency response due to the capacitor and identify the effect on the sinusoidal input.
   - Compute the overall transfer function to determine \( v_o(t) \) based on \( v_{in}(t) \).

2. **Minimum \( V_{cc} \) Value Analysis:**

   - Determine the output voltage swing required for proper operation of the op-amps.
   - Ensure both op-amps remain within their linear operating regions to avoid saturation.
   - Calculate \( V_{cc} \) using the maximum output voltage levels determined from \( v_o(t) \).

**Note:** This analysis assumes ideal op-amps, meaning infinite input impedance, zero output impedance, and infinite gain.
Transcribed Image Text:**Circuit Analysis with Ideal Op-Amps** In the circuit below, assume the op-amps are ideal. The sinusoidal voltage source in the circuit is generating a voltage given by \( v_{in}(t) = 10\sqrt{2}\cos(100t)(V) \). **Tasks:** (a) Find the steady state expression for \( v_o(t) \). (b) What would be the minimum value of \( V_{cc} \) to ensure that neither of the op-amps are saturated? **Circuit Diagram Details:** - The circuit has two operational amplifiers in a dual-stage configuration. - Each op-amp is powered by a dual supply of \( +V_{cc} \) and \( -V_{cc} \). - The input voltage source \( v_{in}(t) \) is connected to the first resistor with a resistance of 200 Ω. - The first op-amp is connected with feedback and forward resistors of 200 Ω each. - The second op-amp also has feedback and forward resistors of 200 Ω each. - There is a 100 Ω resistor connected between the first and second op-amp. - A 100 μF capacitor is connected to the output of the second op-amp creating an integrator circuit. **Problem Solving Approach:** 1. **Steady State Expression for \( v_o(t) \):** - Analyze the voltage gain for each op-amp using the resistor values provided. - Consider the frequency response due to the capacitor and identify the effect on the sinusoidal input. - Compute the overall transfer function to determine \( v_o(t) \) based on \( v_{in}(t) \). 2. **Minimum \( V_{cc} \) Value Analysis:** - Determine the output voltage swing required for proper operation of the op-amps. - Ensure both op-amps remain within their linear operating regions to avoid saturation. - Calculate \( V_{cc} \) using the maximum output voltage levels determined from \( v_o(t) \). **Note:** This analysis assumes ideal op-amps, meaning infinite input impedance, zero output impedance, and infinite gain.
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