Electromagnetic Theory (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 54  56 of 68
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Question number: 54
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2011
Question
The Lagrangian of a particle of charge and mass m in applied electric and magnetic field is given by , where and are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)
Choices
Choice (4)  Response  

a.  Under a gauge transformation of the potentials, L changes by the total time derivative of a function of and . 

b.  The canonically conjugate momentum of the particle is given by 

c.  L remains unchanged under a gauge transformation of the potentials 

d.  The Hamiltonian of the particle is given by 

Question number: 55
» Electromagnetic Theory » Laplace and Poisson Equations
Appeared in Year: 2011
Question
A static, spherically symmetric charge distribution is given by , where A and K are positive constants. The electrostatic potential corresponding to this charge distribution varies with as, (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Electromagnetic Theory » Maxwell's Equations in Free Space and Linear Isotropic Media
Appeared in Year: 2016
Question
The and components of a static magnetic field in a region are and , respectively. Which of the following solutions for its component is consistent with the Maxwell equations? (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

