Answer:
Φcurved= 7.86 Nm²/C
Φbase= -7.86 Nm²/C
Explanation:
Given that
diameter of the hemisphere is 10cm
Radius =diamter/2
Radius = 10/2 =5cm =0.05m
Electric field =1000N/C.
1. Flux=? At the base
Let choose a coordinate system where the origin is at the center of the base, such that the base is in the xy plane
Flux is given as
Φ=E×A
The area of the base hemisphere is a circle and it is given as πr²
Then,
Φ=- πr²E k
Φ=- 3.142×0.05²×1000 k
Φ=-7.86 k Nm²/C
It is in the negative direction of the z half space plane
2. Flux=? At the curved surface
The flux the base is equal to negative of the flux at the curved since the entire flux in the enclosed system is zero
Therefore
Φbase + Φcurved= 0
Φcurved=-Φbase
Then,
Φcurved= -(-7.86 k Nm²/C)
Φcurved= 7.86 k Nm²/C
