GATE PH 2025 • Q65 NAT • 2 Marks

Section 8: Electronics

Electronics

Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits

Question Statement:

The figure shows an opamp circuit with a 5.1 V Zener diode in the feedback loop. The opamp runs from ±15 V supplies. If a +1V signal is applied at the input, the output voltage (rounded off to one decimal place) is ____

Official Answer Key:

2.5

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2025 Q.65)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Electronics** within *Section 8: Electronics* (2 Marks, 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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