Electromagnetic Theory (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 51  54 of 57
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Passage
The magnetic field of the mode of a rectangular waveguide of dimensions as shows in the figure is given by , where and are in cm.
Question number: 51 (2 of 2 Based on Passage) Show Passage
» Electromagnetic Theory » Electromagnetic Waves in Free Space
Question
The dimensions of the waveguide are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 52
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2011
Question
A constant electric current I in an infinitely long straight wire is suddenly switched on at . The vector potential at a perpendicular distance from the wire is given by . The electric field at a distance is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c.  0 

d. 


Question number: 53
» Electromagnetic Theory » Electromagnetic Induction
Appeared in Year: 2011
Question
Consider a solenoid of radius R with turns per unit length, in which a time dependent current (where ) flows. The magnitude of the electric field at a perpendicular distance from the axis of symmetry of the solenoid, is – (December)
Choices
Choice (4)  Response  

a.  0 

b. 


c. 


d. 


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 
