Consider an air filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for different modes is: A. TE , B. TE , C. TE , D. TE . Choose the correct answer from the options given below:
Official Solution
Correct Option: (1)
02
PYQ 2025
easy
electronics-engineeringID: cuet-pg-
The law/Theory and equations are given in the table below. Match List-I with List-II
Official Solution
Correct Option: (1)
03
PYQ 2025
medium
electronics-engineeringID: cuet-pg-
Solution of Laplace's equation, which are continuous through the second derivative, are called
1
Bessel functions
2
Odd functions
3
Harmonic functions
4
Fundamental functions
Official Solution
Correct Option: (3)
Step 1: State Laplace's Equation.
Laplace's equation is a second-order partial differential equation given by , where is the Laplacian operator. In Cartesian coordinates, it is . Step 2: Define the solutions.
By definition, any scalar function that is a solution to Laplace's equation is called a harmonic function. The condition that the function is continuous through the second derivative is a requirement for the Laplacian to be well-defined and equal to zero. These functions are fundamental to many areas of physics, including electromagnetism (electrostatic potential in charge-free regions), fluid dynamics, and heat flow.
