Electromagnetic Theory (CSIR Physical Sciences): Questions 53  54 of 55
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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 