GATE PH 2018 • Q20
NAT • 1 Mark
Section 8: Electronics
Electronics
Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits
Question Statement:
For an operational amplifier (ideal) circuit shown below,
if V1 = 1 V and V2 = 2 V, the value of V0 is ________V (up to one decimal place).
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.20)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electronics** within *Section 8: Electronics* (1 Mark, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Electronics.
- Setting up the exact evaluation:
$\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$
- Computing within standard GATE numerical tolerance window.
**3. Final Answer**:
Official numerical answer is **2.5**.
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