Electromagnetic TheoryGauss Law and Applications (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 4
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Question number: 1
» Electromagnetic Theory » Gauss Law and Applications
Appeared in Year: 2012
Question
Consider a hallow charged shell of inner radius and outer radius . The volume charge density is (k is a constant) in the region . The magnitude of the electric field produced at distance is –
Choices
Choice (4)  Response  

a.  for all  
b.  for and for  
c.  for and for  
d.  for and for 
Question number: 2
» Electromagnetic Theory » Gauss Law and Applications
Appeared in Year: 2011
Question
A static charge distribution gives rise to an electric field of the form , where and R are positive constants. The charge contained within a sphere of radius R, centered at the origin is: (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Electromagnetic Theory » Gauss Law and Applications
Appeared in Year: 2014
Question
A solid of radius R has a charge density, given by ; where is the radial coordinate and and R are positive constants. If the magnitude of the electric field at is times that at then the value of a is – (December)
Choices
Choice (4)  Response  

a.  2  
b. 
 
c.  1  
d. 

Question number: 4
» Electromagnetic Theory » Gauss Law and Applications
Appeared in Year: 2012
Question
An infinite solenoid with its axis of symmetry along the z – direction carries a steady current .
The vector potential at a distance from the axis, (December)
Choices
Choice (4)  Response  

a.  Varies as R inside and as outside the solenoid  
b.  Varies as R inside and is constant outside the solenoid  
c.  Varies as inside and as R outside the solenoid  
d.  Is constant inside and varies as R outside the solenoid 