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Electric Fiel...

Electric Field Due to a Sphere and Thin Shell

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Q. A non conducting sheet of large surface area and thickness d contains uniform charge distribution of density p(rho). find the electric field at a point p inside the plate at a distance x from the central plane . draw quantitative graph of E(ELECTRIC FIELD) against x for 0

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Q. Three concentric metallic spherical shells of radii R, 2R, 3R are given charges Q1, Q2, Q3 respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells Q1 : Q2 : Q3 is

1 : 2 : 3
1 : 3 : 5
1 : 4 : 9
1 : 8 : 18

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Q. Two thin conducting shells of radii

R

and

3 R

are shown in the figure. The outer shell carries a charge

+ Q

and the inner shell is neutral. The inner shell is earthed with the help of a switch

S

.

With the switch $S$ closed, the charge attained by the inner sphere is $- 1 / 3$ times that of charge present on the outer sphere.
By closing the switch the capacitance of the system increases
With the switch $S$ open, the potential of the inner sphere is equal to that of the outer
When the switch $S$ is closed, the potential of the inner sphere becomes zero

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Q. A hollow conducting sphere has inner radius

5 cm

and outer radius

8 cm

, then find maximum possible potential of conductor, if breakdown electric field of air is

3 \times 10^{6} V/m

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Q. A non-conducting sheet of large surface area and thickness d contains uniform charge distribution of density ρ. Find the electric field at a point P inside the plane at a distance x from the central plane. Draw a qualitative graph of E against x for 0

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Q. If force is a vector queantity so why in work we only use the magnitude of force but not the direction?

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Q. Volume charge density of a non conducting solid sphere of radius

R = 30 c m

is given as

ρ = ρ_{o} (1 - \frac{r}{R}) .

Electric field inside sphere is minimum at

$r = 15 c m$
$r = 30 c m$
$r = 10 c m$
$r = 20 c m$

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Q. A force F = (5i + 3j + 2k)N is applied over a particle which displaces it from in origin to the point r = (2i - j)m.Find the workdone on the particle in joule.

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Q. a mild steel wire of length 2L cross section area is fixed for sondoli between two pillars a small mass M is suspended from the point of the wire if extension in wire are within elastic limit than the discretion of the midpoint of the

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Q. Half of the space between the plates of a parallel plate capacitor is filled with a medium of dielectric constant

K

parallel to the plates. If initially the capacitance is

C

, then the new capacitance will be

$\frac{K C}{K + 1}$
$K C$
$\frac{(K + 1) C}{2}$
$\frac{2 K C}{K + 1}$

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Q. Relate the electric field due to the following in the given cases.

varies linearly
zero
varies nonlinearly

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Q. A charge particle enters a uniform magnetic field with velocity vector at angle of

45^{\circ}

with the magnetic field. The pitch of the helical path followed by the particle is

P

. The radius of the helix will be

$\frac{\sqrt{2} P}{π}$
$\frac{P}{2 π}$
$\sqrt{2} P$
$\frac{P}{\sqrt{2} π}$

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Q.

n

charged drops, each of radius

r

and charge

q

, coalesce to form a big drop of radius

R

and charge

Q

. If

V

is the electric potential and

E

is the electric field at the surface of a drop, then

$E_{b i g} = n^{1 / 3} E_{s m a l l}$
$V_{b i g} = n^{2 / 3} V_{s m a l l}$
$E_{s m a l l} = n^{2 / 3} E_{b i g}$
$V_{b i g} = n^{1 / 3} V_{s m a l l}$

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Q. Find the dimensions of A and B in the given equation connecting force (F), displacement (x) and time (t). F = A cos Bx + C sin Dt

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Q. The capacitance of an isolated metallic sphere of diameter

36 cm

will be

$40 pF$
$20 pF$
$60 pF$
$30 pF$

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