A tetrahedron has an equilateral triangle base with 25.0-cm-long edges and three equilateral triangle sides. The base is parallel to the ground, and a vertical uniform electric field of strength 260N/C passes upward through the tetrahedron.What is the electric flux through the base?What is the electric flux through each of the three sides?

Answer :

Answer:

electric flux through the three side = 2.35 N m²/C

Explanation:

given,

equilateral triangle of base = 25 cm

electric field strength = 260 N/C

Area of triangle = [tex]\dfrac{\sqrt{3}}{4}a^2[/tex]

                          =  [tex]\dfrac{\sqrt{3}}{4} 0.25^2[/tex]

                          = 0.0271 m³

electric flux = E. A

                   = 260 × 0.0271

                   = 7.046 N m²/C

since, tetrahedron does not enclose any charge so, net flux through tetrahedron is zero.

electric flux through the three side = (electric flux through base)/3

                               = [tex]\dfrac{7.046}{3}[/tex]

electric flux through the three side = 2.35 N m²/C

The electric flux through each of the three sides is 2.35 N m²/C

Given information:

equilateral triangle of base a = 25 cm = 0.25m

electric field strength E = 260 N/C

Area of triangle [tex]A=\frac{\sqrt{3} }{4} a^2=\frac{\sqrt{3} }{4} (0.25)^2\\\\A=0.0271m^2[/tex]

Electric flux:

Now the electric flux through the base:

[tex]\phi = EA=260\times0.0271\\\\\phi=7.046Nm^2/C[/tex]  

The net flux through the tetrahedron will be zero since it does not enclose any charge.

The electric flux through the three sides = electric flux through base

The electric flux through the three sides = 7.046 Nm²/C

The electric flux through each side = 7.046/3 = 2.35  Nm²/C

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