BITSAT 2024 Shift 1 Paper

Given the radius of the capacitor plates R=0.1m, we can calculate the area of the plates as:
A=πR2=3.14×(0.1)2m2
We are also given that the rate of change of the electric field between the capacitor plates is:
‌

dE

dt

=6×1013‌

V

m⋅ s

The displacement current Id between the plates is calculated using the formula:
Id=ε0‌

dφ

dt

where ‌

dφ

dt

=A‌

dE

dt

. Hence, the formula becomes:
Id=ε0A(‌

dE

dt

)
Substituting the values, where ε0=8.85×10−12F∕m, we have:
Id=8.85×10−12×3.14×(0.1)2×6×1013
Calculating the above expression yields:
Id=16.67A
Therefore, the value of the displacement current is 16.67 A .