Question

Which of the following graphs most appropriately gives variation of magnitude of electric field due to an infinitely long thin uniformly charged cylindrical shell of radius R, with distance r from its axis?

Answer 1

Answer:

Correct option is

A

option

In a uniformly charged conducting sphere,

electric field inside E=0 No charge inclose inside the conductor.

Outside E=

r

2

kq

Outside it decreases uniformly,

so graph(a) is correct.

Answer 2

Answer:

The correct option is (c)

Explanation:

Let, the radius of sphere to be R and the distance between the sphere and the charge to be r.

Let consider the following cases:

Case no.1

When distance is greater than radius

R ∠ r

Therefore, electric field

$E =\frac{KQ}{r^{2} }$

$E$ ∝ $\frac{1}{r^{2} }$

Case no.2

When the distance is equal to the radius

R = r

Therefore, electric field

$E =\frac{KQ}{R^{2} }$

$E$ ∝ $\frac{1}{R^{2} }$

Case no.3

When the distance is smaller than the radius

r ∠ R

Therefore, electric field

$E =\frac{KQ}{R^{3} }$

$E$ ∝ $\frac{1}{R^{3} }$

∴When we plot the graphs for above three cases, the graph of case no.3 gives the variation of magnitude of electric field due to an infinitely long thin uniformly charged cylindrical shell of radius R, with distance r from its axis.

Hence, the correct option is (c)

NOTE: Refer attachment.

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