Word Count : 415

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मुक्त आकाश (जहाँ कोई आवेश या प्रवाह नही) के लिए मैक्सवेल समीकरण निम्नलिखित हैं: 1. $$\nabla \cdot \mathbf{E} = 0$$ 2. $$\nabla \cdot \mathbf{B} = 0$$ 3. $$\nabla \times \mathbf{E} = - \frac{\partial \mathbf{B}}{\partial t}$$ 4. $$\nabla \times \mathbf{B} = \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}$$ जहाँ, $$\mathbf{E}$$ = विद्युत् क्षेत्र सदिश, $$\mathbf{B}$$ = चुंबकीय क्षेत्र सदिश, $$\mu_0$$ = निर्वात चुंबकीय आनुपातिकता, $$\epsilon_0$$ = निर्वात विद्युत् ध्रुवीयता। *** ## तरंग समीकरण व्युत्पन्न करना ### चरण 1: $$\nabla \times $$ (curl) ऑपरेटर का प्रयोग - ऊपर दी गयी समीकरण 3 से शुरुआत करें: $$ \nabla \times \mathbf{E} = - \frac{\partial \mathbf{B}}{\partial t} $$ - इसके _______ _____ _____ _____ ___ ____ ________ ____ ____ ____ ____.
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