Department of Pre-University Education, Karnataka course PUC Karnataka Science Class 12
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# A Charge Q is Uniformly Distributed Over a Rod of Length L. Consider a Hypothetical Cube of Edge L with the Centre of the Cube at One End of the Rod. - Physics

ConceptElectric Field Introduction of Electric Field

#### Question

A charge Q is uniformly distributed over a rod of length l. Consider a hypothetical cube of edge l with the centre of the cube at one end of the rod. Find the minimum possible flux of the electric field through the entire surface of the cube.

#### Solution

Given:
Total charge on the rod = Q

The length of the rod = edge of the hypothetical cube = l
Portion of the rod lying inside the cube, "x" ="l"/2

Linear charge density for the rod = "Q"/"l"

Using Gauss's theorem, flux through the hypothetical cube,

Ø = (Qin/∈0) , where Qin = charge enclosed inside the cube
Here, charge per unit length of the rod = "Q"/"l"

Charge enclosed,  Q_("in") = "Q"/"l" xx "l"/2 = "Q"/2

Therefore , Ø =  ("Q"/2)/∈_0 = "Q"/(2∈_0)

Is there an error in this question or solution?

#### APPEARS IN

Solution A Charge Q is Uniformly Distributed Over a Rod of Length L. Consider a Hypothetical Cube of Edge L with the Centre of the Cube at One End of the Rod. Concept: Electric Field - Introduction of Electric Field.
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