Question

InFIGURE Q24.4, where the field is uniform, is the magnitude of ${\Phi }_1$larger than, smaller than, or equal to the magnitude of ${\Phi }_2$? Explain.

Short answer

${\mathit{\Phi }}_{\mathbf{1}}\mathbf{=}{\mathit{\Phi }}_{\mathbf{2}}$

Step-by-step solution

Given information and formula used  

Given :

Figure -

The field is uniform

Theory used :

Electric flux, property of an electric field that may be thought of as the number of electric lines of force (or electric field lines) that intersect a given area.

Electric field lines are considered to originate on positive electric charges and to terminate on negative charges.

Determining if the magnitude of Φ1 larger than, smaller than, or equal to the magnitude of Φ2

The electric field is consistent across both surfaces. The electric flow is constant in this scenario. Because the electric fields inner 'surface 1' and outward 'surface 2' are identical, the two surfaces are joined to form a single closed surface.

So,${\mathit{\Phi }}_{\mathbf{1}}\mathbf{=}{\mathit{\Phi }}_{\mathbf{2}}$