What will be the total flux through the faces of the cube (Fig. 1.9) with a side of length an if a charge q is placed at

(a) A: a corner of the cube.
(b) B: mid-point of an edge of the cube.
(c) C: centre of the face of the cube.
(d) D: mid-point of B and C.

This is a Short Answer Type Questions as classified in NCERT Exemplar

Explanation – in these type of question imagine another cube along the charge is kept in 3 dimensional aspects.

• In this part the charge is situated at the corner of cube here we can placed 7 more cube joining the corner of that cube . so charge is being shared by 8 cubes.

 Therefore, the total flux through the faces of the cube= q/8 ε₀

b) in this part the charge is situated at mid point of edge here is being shared by 3 more sphere so charge is being shared by 4 cubes.

Hence, the total flux through the four faces is  = q/4 ε₀

c) In this

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This is a Short Answer Type Questions as classified in NCERT Exemplar

Explanation – in these type of question imagine another cube along the charge is kept in 3 dimensional aspects.

• In this part the charge is situated at the corner of cube here we can placed 7 more cube joining the corner of that cube . so charge is being shared by 8 cubes.

 Therefore, the total flux through the faces of the cube= q/8 ε₀

b) in this part the charge is situated at mid point of edge here is being shared by 3 more sphere so charge is being shared by 4 cubes.

Hence, the total flux through the four faces is  = q/4 ε₀

c) In this part the charge is situated at the center of cube which is shared by only 1 adjacent  sphere so charge being shared by only 2 cubes,  therefore the total flux will be= q/2 ε₀

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<p>This is a Short Answer Type Questions as classified in NCERT Exemplar</p><p><strong>Explanation</strong> – in these type of question imagine another cube along the charge is kept in 3 dimensional aspects.</p><ul><li>In this part the charge is situated at the corner of cube here we can placed 7 more cube joining the corner of that cube . so charge is being shared by 8 cubes.</li></ul><p>&nbsp;Therefore, the total flux through the faces of the cube= q/8<strong> ε₀</strong></p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1741778439php2h3DpD_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1741778484phpPJ6uGy_480x360.jpeg" alt="" width="228" height="88"></picture></div><div><strong>b)</strong> in this part the charge is situated at mid point of edge here is being shared by 3 more sphere so charge is being shared by 4 cubes.</div><div>Hence, the total flux through the four faces is&nbsp;&nbsp;= q/4<strong> ε₀</strong></div><div><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1741778484phpPJ6uGy_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1741778484phpPJ6uGy.jpeg" alt="" width="124" height="105"></picture></div><div><strong>c)</strong> In this part the charge is situated at the center of cube which is shared by only 1 adjacent&nbsp; sphere so charge being shared by only 2 cubes, &nbsp;therefore the total flux will be= q/2<strong> ε₀</strong></div><div><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1741778545phpKdFrQ7_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1741778439php2h3DpD_480x360.jpeg"2 alt="" width="174" height="102"></picture></div></div></div></div></div></div>

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