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Q.

COLUMN-ICOLUMN-II
A) Question Image
Capacitance of the given system   is
 
P)ε0A(b+2a)2ab
B)Question Image 
Concentric spherical shell of radius a and b, inner one is given a charge and outer is earthed.
Capacitance of the system across the terminals of the cell is
 
Q)4πε0[abba]
C) Question Image
Concentric spherical shells of radius a and b, outer one is given a charge and inner one is earthed.
Capacitance of the system across the terminals of the cell is
 
R)4πε0(a+b)
D) Question Image
Area of the plates is A and their separation is as indicated.
Capacitance of the system across the terminals shown is
 
S)4πε0b2(ba)
    

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a

A-R; B-Q; C-S; D-P

b

A-P; B-S; C-Q; D-R

c

A-R; B-Q; C-P; D-S

d

A-P; B-Q; C-R; D-S

answer is A.

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Detailed Solution

detailed_solution_thumbnail
  • Capacitance of the two sphere system with radii a and b connected by a wire is 4πε0(a+b)
  • Concentric spherical shell of radius a and b, inner one is given a charge and outer is earthed. Capacitance of this system across the terminals of the cell is 4πε0[abba]
  • Concentric spherical shells of radius a and b, outer one is given a charge and inner one is earthed. Capacitance of this system across the terminals of the cell is 4πε0b2(ba)
  • Capacitance of the system across the terminals shown is
Question Image

              C=ε0A(b+2a)2ab

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