Match the following and find the correct optionColumn IColumn IIALinear charge densityp Charge VolumeB Surface charge densityq Charge LengthC Volume charge densityr Charge Area

The correct option is A A q; B r; C pLinear charge density, λ = charge length ;A→ q Surface charge density σ = charge area ;B→ r Volume charge de ...

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Standard XII

Physics

Electric Field Due to Charge Distributions - Approach

Match the fol...

Question

Match the following and find the correct option
Column I Column II
(A)Linear charge density (p) $\frac{C h a r g e}{V o l u m e}$
(B) Surface charge density (q) $\frac{C h a r g e}{L e n g t h}$
(C) Volume charge density (r) $\frac{C h a r g e}{A r e a}$

A-q; B-r; C-p

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A-p; B-r; C-p

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A-r; B-p; C-q

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A-r; B-q; C-p

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Solution

The correct option is A A-q; B-r; C-p
Linear charge density, $λ = \frac{c h a r g e}{l e n g t h}; A \to q$
Surface charge density $σ = \frac{c h a r g e}{a r e a}; B \to r$
Volume charge density, $ρ = \frac{c h a r g e}{v o l u m e}; C \to p$

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Similar questions

Q. Figure shows three concentric spherical conducting shells A, B, and C of radii

R, 2 R

and

4 R

respectively. Shells

A

and

C

are connected by a conducting wire and B is given charge

Q

[Consider \frac{1}{4 π ϵ_{0}} = K]

Match the following columns:

\begin{matrix} Column-I & Column-II A. Charge on shell A & (p) \frac{Q}{3} B. Charge on shell C & (q) - \frac{Q}{3} C. Potential of shell A & (r) Q D. Potential of shell C & (s) \frac{K Q}{4 R} (t) None \end{matrix}

Q. Consider a spherical Gaussian surface of radius

r

, where

c > r > b

, the net charge enclosed by this surface is

Y \times Q

. Find

Y

Q. A non conducting sphere of radius

^{'} a^{'}

has a type charge

^{'} + q^{'}

uniformly distributed throughout in volume. A hollow spherical conductor having inner and outer, radii

^{'} b^{'}

and

^{'} c^{'}

and net charge

^{'} - q^{'}

is concentric with the sphere (see the figure)
Read the following statements
(i) The electric field at a distance

r

from the center of the sphere

= \frac{1}{4 π ε_{0}} \frac{q r}{a^{3}}

for

r < a

.
(ii) The electric field at distance

r

from the center of the sphere for

a < r < b = 0

(iii) The electric field at distance

r

from the center of the sphere for

b < r < c <= 0

(iv) The charge on the inner surface of the hollow sphere

= - q

(v) The charge on the outer surface of the hollow sphere

= + q

Q. There is a hollow sphere of charge Q and radius R. The self-potential energy of the sphere is proportional to (charge)and (radius).

Q. Energy stored in the form of electric field within spherical region of a uniformly charged sphere of charge

Q

is _______. (Charge is distributed within volume of sphere)

Column I	Column II
(A)Linear charge density	(p) $\frac{C h a r g e}{V o l u m e}$
(B) Surface charge density	(q) $\frac{C h a r g e}{L e n g t h}$
(C) Volume charge density	(r) $\frac{C h a r g e}{A r e a}$

Match the following and find the correct optionColumn IColumn II(A)Linear charge density(p) ChargeVolume(B) Surface charge density(q) ChargeLength(C) Volume charge density(r) ChargeArea

The correct option is A A-q; B-r; C-pLinear charge density, λ=chargelength;A→qSurface charge density σ=chargearea;B→rVolume charge density, ρ=chargevolume;C→p

Match the following and find the correct option
Column I Column II
(A)Linear charge density (p) $\frac{C h a r g e}{V o l u m e}$
(B) Surface charge density (q) $\frac{C h a r g e}{L e n g t h}$
(C) Volume charge density (r) $\frac{C h a r g e}{A r e a}$

The correct option is A A-q; B-r; C-p
Linear charge density, $λ = \frac{c h a r g e}{l e n g t h}; A \to q$
Surface charge density $σ = \frac{c h a r g e}{a r e a}; B \to r$
Volume charge density, $ρ = \frac{c h a r g e}{v o l u m e}; C \to p$