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Question

A point charge q moves with velocity v along a straight line. Displacement current density at a point located at a distance r from charge and in the line of motion of the charge will be

A
qv24πr2
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B
qvr3
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C
qv4πr3
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D
qv2πr3
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Solution

The correct option is D qv2πr3
id=ε0ddtEA
idensity=idA=ε0ddtE ,where E=kqr2
idensity=ε0ddtkqr2=ε0kqddtr2=2ε0kqr3v
By placing k=14πε0,
idensity=qv2πr3

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