Consider a narrow slot in an infinitely large electrically conducting plane placed in the xz-plane (Fig XXXXXXXXXXThe length of the slot is denoted by L and the width is denoted by 𝑤 with...

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Consider a narrow slot in an infinitely large electrically conducting plane placed in the xz-plane (Fig. 3.31). The length of the slot is denoted by L and the width is denoted by 𝑤 with (𝑤 ≪ L). When a voltage is applied across the slot, it produces the following electric field across the slot:

First, use the equivalence principle to convert this problem into a free-space radiation problem for regions y > 0 and y <> 0 and y

Answered 144 days AfterMay 09, 2022

Answer To: Consider a narrow slot in an infinitely large electrically conducting plane placed in the xz-plane...

Baljit answered on Sep 30 2022
60 Votes
Now we will create a equivalent problem. We will replace conducting object with free space. We will assume zero field in interior region and same field in exterior region as in original problem.
Magnetic current at surface is given by
Ms= x Einc = x Einc = x Vsin[k(L/2-|z|)]= -Vsin[k(L/2-|z|)]
For y>0
Ms= x Einc = x Einc = x Vsin[k(L/2-|z|)]= -Vsin[k(L/2-|z|)]
For y<0
Ms= x Einc = x Einc = x...
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