Electromagnetic Theory (CSIR Physical Sciences): Questions 53  54 of 57
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
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 
