The electric field in a region of space is given by E=5i+2j.the electric flux due to this field through an area 2msquare lying in the yz plane in S.I units is
Answers
Answer:
answer is 10i.
Explanation:
As given in the question the area is lying in yz plane therefore the area vector will point towards X axis i.e. area vector can be represented as 2i .
and as we know that
electric flux = E.A
where there is a dot product of electric field and area vector.
therefore electric flux = (5i+2j ). 2i
electric flux = 10i
as dot product of i.j =0 .
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Answer:
In this question, we have been asked to find the electric flux through a a region that covers area of 2 meter square. Let us see how to calculate the answer.
Explanation:
Given: Electric filed = 5i+2j and Area of the region = 2m².
To find: Electric Flux through that region.
Now, prior to calculating the answer, we must understand what is electric flux.
Electric Flux is the number of Electric field lines that passes through any particular region. It is given by the formula:
φ = E.A or EACosθ
where, E = Electric Field, A = Area Vector and θ = angle between Electric field and the area vector.
Now, the area lies in the y-z plane. That means the area vector is parallel to x-axis, as the area vector is perpendicular to the plane containing area. Hence, the area vector is thus can be given as 2i, as it is parallel to x-axis.
Now, we know the value of electric field. Hence, the electric flux would the dot product of Area vector and Electric field.
φ = E.A
= (5i+2j).(2i)
we know that i.i=1 and i.j=0
Hence, φ = 5i.2i
= 5×2
φ = 10
It is a unitless quantity as it is the number of electric field lines.