Questions tagged «formula-derivation»

3
为什么电感(L)与平方匝数(N²)成比例?
我们从麦克斯韦方程开始 ∇ ×乙 =μ Ĵ + μ ε ∂&Ë∂Ť0。∇×B=μJ+μϵ∂E∂t⏞0. \mathbf{\nabla} \times \mathbf{B} = \mu \mathbf{J} + \overbrace{\mu \epsilon \dfrac{\partial \mathbf{E}}{\partial t}}^0. 我们对芯的平均路径()内的表面()进行了两侧的表面积分。çsssCcc ∫s(∇ × 乙) ⋅ d小号 =μ∫sĴ ⋅ds∫s(∇×B)⋅ds=μ∫sJ⋅ds \int_s \left( \mathbf{\nabla} \times \mathbf{B} \right) \cdot d\mathbf{s} = \mu \int_s \mathbf{J} \cdot d\mathbf{s} 我们使用Stroke定理重写左手边。其中与磁通量处于同一方向。ΦCccΦΦ\Phi ∮CB ·dℓ =μÑ一世∮cB⋅dℓ=μNI \oint_c \mathbf{B} \cdot …
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