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Q.

Which of the following options are CORRECT about a non conducting, thin circular disk of radius R and uniform surface charge density σ . (assume electrostatic potential at infinity to be zero)

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a

electrostatic potential near centre of disk is  σR2ε0

b

electrostatic potential near the periphery of disk is  σRπε0

c

electrostatic self energy of the disk is  2σ2R33ε0

d

electrostatic self energy of the disk is  σ2R34πε0

answer is A, B, C.

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Detailed Solution

Self energy of disk : 

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V=σrπε0;  dq=σ.2  πrdr  U=0RVdq=0Rσrπε0×σ.2πrdr=2σ2R33ε0

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