An electromagnetic plane wave is propagating with an intensity I = 1.0 × 105 Wm-2 in a
medium with 𝜖 = 3𝜖0 and 𝜇 = 𝜇0. The amplitude of the electric field inside the medium is
________ × 103 Vm-1 (up to one decimal place).
(𝜖0 = 8.85 × 10-12 C2 N-1 m-2, 𝜇0 = 4𝜋 × 10-7NA-2, c = 3 × 108 ms-1)
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2018 Q.48)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electromagnetic Theory** within *Section 3: Electromagnetic Theory* (2 Marks, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Electromagnetic Theory.
- 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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