Page 11 - English Class X_cbse new (FINAL).cdr

Q9 G iven a uniform electric field E = 4 × 103 i N / C . Find the flux of this field Q15 Two charges of magnitudes -2Q and +Q are located at points (a, 0) and
through a square of side 5 cm whose plane is parallel to the Y-Z plane. What (4a, 0) respectively. What is the electric flux due to these charges through a
would be the flux through the same square, if the plane makes an angle of sphere of radius ‘3a’ with its centre at the origin?
30° with the x-axis?
[2] Delhi Set-3 [2014] [2] OD Set-1 [2013]

Q10 Given a uniform electric field E = 2 × 103 i N / C , find the flux of this field Q16 A hollow cylindrical box of length 1 m and area of cross-section 25 cm2 is
through a square of side 20 cm, whose plane is parallel to the y-z plane. placed in a three dimensional coordinate system as shown in the figure. The
What would be the flux through the same square, if the plane makes an electric field in the region is given by E = 50xi , where E is in NC-1 and x is
angle of 30° with the x’’axis? in metres. Find
[2] Delhi Set-2 [2014]
(i) Net flux through the cylinder.
Q11 Given a uniform electric field E = 5 × 103 i N / C , find the flux of this field
through a square of 10 cm on a side whose plane is parallel to the y-z (ii) Charge enclosed by the cylinder.
plane. What would be the flux through the same square if the plane makes
a 30° angle with the x-axis? Y
[2] Delhi Set-1 [2014]
O x
Q12 T wo charges of magnitudes + 4Q and - Q and located at points (a, 0) and 1m [2] Delhi Set-1, 3 [2013]
(-3a,0) respectively. What is the electric flux due to these charges through a
sphere of radius ‘2a’ with its centre at the origin. Z
[2] OD Set-3 [2013]
Q17 A charge ‘q’ is placed at the centre of a cube of side . What is the electric
Q13 T wo charges of magnitudes –3Q and + 2Q are located at points (a, 0) and flux passing through each face of the cube?
(4a, 0) respectively. What is the electric flux due to these charges through a
sphere of radius ‘5a’ with its centre at the origin? [1] OD Set-1 [2012]
[2] OD Set-2 [2013]
Q18 (a) Define electric flux. Write Its S.I. units.
Q14 Using Gauss' law deduce the expression for the electric field due to a uniform- (b)
ly charged spherical conducting shell of radius R at a point (i) outside and (it) U sing Gauss's law, prove that the electric field at a point due to a uni-
inside the shell. (c) formly charged infinite plane sheet is independent of the distance from
it.
Plot a graph showing variation of electric field as a function of r >R and r<
R. (r being the distance from the centre of the shell) H ow is the field directed if (i) the sheet is positively charged, (ii) neg-
[2] OD Set-1 [2013] atively charged?

[5] OD Set-1 [2011, 2015]

Q19 A thin straight infinitely long conducting wire having charge density λ, is
enclosed by a cylindrical surface of radius r and length l, its axis coinciding
with the length of the wire. Find the expression for the electric flux through
the surface of the cylinder.

[2] OD Set-1, 3 [2011]

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