(Solved): 10-14 Figure P10-14 shows a rectangular waveguide, which consists of a conducting rectangular cyli ...

10-14 Figure P10-14 shows a rectangular waveguide, which consists of a conducting rectangular cylinder with cross-sectional dimensions $$a$$ and $$b$$ along the $$x$$ - and axis, respectively. In Chapter 13 , we will find that a possible magnetic field tribution inside such a waveguide at frequency $$?$$ is given by $$\mathbf{H}=H_0\left[j?\left(\frac{a}{?}\right)\sin \left(\frac{?}{a}x\right){\hat{\mathbf{a}}}_x+\cos \left(\frac{?}{a}x\right){\hat{\mathbf{a}}}_z\right]e^{?j?z},$$ where $$H_0$$ and $$?$$ are constants. Use the boundary conditions at a perfect conductor to find expressions for the surface current $${\mathbf{J}}_s$$ on the four inside walls ch the waveguide. Figure P10-14