It is to be noted that the magnitude of the electric flux through the hemisphere surface is πR²E. (Option D)
What is an Electric Flux?
The characteristic of an electric field known as electric flux may be thought of as the quantity of electric lines of force (or electric field lines) that cross a certain region.
According to this theory, electric field lines begin with positive electric charges and end with negative charges.
What is the calculation for the above?
Recall that the A hemispherical surface (half of a spherical surface) of radius R.
In order to derive the Magnitude of the electric flux we use the following formula:
Ф = ∈ x Area of the Curve Surface
⇒ Ф = ∈ x πR²
⇒ Ф = πR²∈
Thus, option D is the correct answer.
Learn more about Electric Flux:
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Full Question:
A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemisphere surface?
A) 2πR²∈
B) 0
C) 4 πR²∈/3
D) πR²∈
