Question #295944

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.


1
Expert's answer
2022-02-13T17:52:17-0500

Electric flux


ϕ=E.A=EAcosθ\phi=E.A=EAcos\theta

Where θ=90°\theta=90°

E=8N/CE=8N/C

A=0.025m2A=0.025m^2

Top side

ϕt=E.A=EAcosθθ=90ϕt=0\phi_t=E.A=EAcos\theta\\\theta=90\\\phi_t=0

Bottom side

ϕb=E.A=EAcosθθ=90ϕb=0\phi_b=E.A=EAcos\theta\\\theta=90\\\phi_b=0

Right side

ϕr=EAcosθϕr=EAcos90=0\phi_r=EAcos\theta\\\phi_r=EAcos90=0

Electric flux top left right side


ϕnet=ϕt+ϕb+ϕr+ϕL+ϕf+ϕb\phi_{net}=\phi_t+\phi_b+\phi_r+\phi_L+\phi_f+\phi_b

ϕ=8×0.25×cos90°\phi=8\times0.25\times cos90°

ϕ=0\phi=0


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