Find the flux through the top,left,and right side of a cube of side 0.5 m when placed in a horizontal uniform electric field of 8.0N/C directed to the right.
Electric flux
ϕ=E.A=EAcosθ\phi=E.A=EAcos\thetaϕ=E.A=EAcosθ
Where θ=90°\theta=90°θ=90°
E=8N/CE=8N/CE=8N/C
A=0.025m2A=0.025m^2A=0.025m2
Top side
ϕt=E.A=EAcosθθ=90ϕt=0\phi_t=E.A=EAcos\theta\\\theta=90\\\phi_t=0ϕt=E.A=EAcosθθ=90ϕt=0
Bottom side
ϕb=E.A=EAcosθθ=90ϕb=0\phi_b=E.A=EAcos\theta\\\theta=90\\\phi_b=0ϕb=E.A=EAcosθθ=90ϕb=0
Right side
ϕr=EAcosθϕr=EAcos90=0\phi_r=EAcos\theta\\\phi_r=EAcos90=0ϕr=EAcosθϕr=EAcos90=0
Electric flux top left right side
ϕ=8×0.25×cos90°\phi=8\times0.25\times cos90°ϕ=8×0.25×cos90°
ϕ=0\phi=0ϕ=0
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