If an electric field is given by 10- - 3- - 4k- calculate the electric flux through a surface of area 10 units lying in yz plane

E⃗= 10 î+ 3 ĵ+ 4k̂ Since, we have surface area of unit 10 lying in Y_2 plane.⊥^r to [lane Y_z ]Hence, the area vector S⃗= 10 î We ...

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Standard XII

Physics

Introducing Flux

If an electri...

Question

If an electric field is given by $10^i + 3^j + 4^k,$ calculate the electric flux through a surface of area $10$ units lying in $y z$ plane

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Solution

$\to E = 10^i + 3^j + 4^k$
Since, we have surface area of unit $10$ lying in $Y_{2}$ plane.\perp^r $t o [l a n e$ Y_z$]
Hence, the area vector $
$\to S = 10^i$
We know that
flux $(ϕ)$ is given as
$ϕ = \int \to E \cdot \to d s$
$ϕ = \to E \cdot \to S$
$= (10^i + 3^j + 4^k) \cdot (10^i)$
$ϕ = 100 N m^{2} c^{- 1}$

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If an electric field is given by 10^i+3^j+4^k, calculate the electric flux through a surface of area 10 units lying in yz plane

→E=10^i+3^j+4^kSince, we have surface area of unit 10 lying in Y2 plane.\perp^rto[laneY_z$]Hence, the area vector $→S=10^iWe know thatflux (ϕ) is given asϕ=∫→E⋅→dsϕ=→E⋅→S=(10^i+3^j+4^k)⋅(10^i)ϕ=100Nm2c−1

If an electric field is given by $10^i + 3^j + 4^k,$ calculate the electric flux through a surface of area $10$ units lying in $y z$ plane