Electromagnetic TheoryScalar and Vector Potentials (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 7  10 of 10
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Question number: 7
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2012
Question
The vector potential due to a magnetic moment at a point is given by . If is directed along the positive z – axis, the x – component of the magnetic field, at the point , is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 8
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2012
Question
Consider an infinite conducting sheet in the XY – plane with a time dependent current density , where K is constant. The vector potential at is given by . The magnetic field is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» 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: 10
» 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 
