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 Dqv2πr3 id=ε0ddtEA idensity=idA=ε0ddtE ,where E=kqr2 idensity=ε0ddtkqr2=ε0kqddtr−2=−2ε0kqr3v
By placing k=14πε0, idensity=qv2πr3