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Question

Calculate the current density in the dielectric.
  1. Q0pkε0Aet/pk
  2. Q0pkε0et/pkε0
  3. Q0pkε0Aet/pkε0
  4. None of these

A
Q0pkε0Aet/pkε0
B
Q0pkε0Aet/pk
C
Q0pkε0et/pkε0
D
None of these
Solution
Verified by Toppr

The equation of capacitor charging is: Q=Q0et/RC
Current, I=dQdt=(Q0/RC)et/RC
For parallel plate capacitor, C=Akϵ0d and R=pdA
So, CR=pkϵ0
Now, current density, J=|I|A=Q0ARCet/RC=Q0Apkϵ0et/(pkϵ0)

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