Consider the TE11 mode in a rectangular guide having width a and height b. Using Eqs. (96d) and (96e), along with methods described in Chapter 2, Section 2.6, show that the equation for the streamlines for this field (at z = 0) is
where C is a constant that identifies a given streamline.
To prove:
The equation for the streamlines for transverse electric field
Explanation of Solution
Given:
Width = a
Hight = b
Mode =
Concept used:
Formula to calculate equation for the streamlines is shown below:
Calculation:
Although,
Therefore,
Plugging value of km and kp in transverse electric field equation,
Since,
Hence,
For boundary condition of x and y final equivalent of above integral is shown below:
Conclusion:
Hence,the streamlines for transverse electric field
Want to see more full solutions like this?
Chapter 13 Solutions
Engineering Electromagnetics
- Q8 - You wish to end up with a 2um width metal line (measured at the top of the metal lead cross section). A) You are using an isotropic wet etch process on a 1um thick metal layer. What linewidth should the protective photoresist line be to get these results? Sketch the resulting structure before photoresist strip. B) now you are using a completely anisotropic etch, what is the requisite linewidth of the photoresist to achieve the same end goal? Sketch the resulting structure before the stripping of the photoresist.arrow_forwardelectromagnetic theoryWhat is the solid angle unit? a) radb) mc) srd) sarrow_forwardCalculate the guided intrinsic impedance at 20GHz for the lowest order mode of the rectangular waveguide wit dimensions a=0.7 in and b=0.3 in. Take relative permittivity as 2.76arrow_forward
- Q5 a) A fiber has the following characteristics: n1 = 1.45 (core index) and A=2%. Find the N.A and the acceptance angle.arrow_forward7) The given set of equations represents... Ea – l«Ra = Vr , la = I , Rfarrow_forwardUse Gauss elimination to find the values of x, y, and x+y+z=9 2x + 5y + 7z = 52 2x+y-z = 0arrow_forward
- A cross-sectional view of an optical fiber is shown in the figure. The optical fiber has core and cladding refractive indices of ncore and neladding, and critical angle Oic. Which of the following conditions must be satisfied in order to have total internal reflection in the optical fiber? a ncore > Ncladding Oi > Oịc cladding (b) ncore > Ncladding O; Oịc (e) None of the abovearrow_forwardA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.8 F/m, and 8.5 H inductance per meter. Assume the diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 2.9. Find the diameter of the outer conductor in cm?arrow_forwardusing the partial fraction mathod to find xcn) for <121 <. XCZ)= Z3 -2Z? (Z-0.5)(Z+4) for Rucarrow_forward
- 8. A nonmagnetic medium has an intrinsic impedance 240e³/6. Find its complex permittivity.arrow_forwardAn RG 58 Coaxial Cable, having an inner diameter of 0.5 mm and using an insulator with dielectric constant of 2.7, the characteristic impedance of a cable is 90 ohms. Compute for the outer conductor diameter in mm.arrow_forwardA distortion less line has Zp= 60 Q. « = 20 mNp/m. V= 0.6C, where C is the speed of light in a vacuum. Find the : i parameters R. L G. C. and / at IOQMHZ.arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,