Electo Cpp

FIITJEE

Chapter practice problems(PDS) CHENNAI CENTRE Subject: PHYSICS

Topic:

ELECTROSTATICS

NAME:

1.

A 'se 'semi inf infinite' ins insulating ro rod ha has a linear charge density λ. The electric field at P is

+ + + + + + y

2λ 2

(a)

( 4πεo y ) λ

(d)

2.

3.

2

P

along AP.

2λ 2

(b)

( 4πεo y )

2

( 4πεo y )

2

along AP.

2

at an angle of 45 ° with AP.

2

at an angle of 45 ° with AB.

2λ 2

(D)

( 4πεo y )

In a sp spherical reg region ion of of un unifo iform ch charge de density ity + ρ, a spherical cavity of centre O ′ exists, as shown in the figure. The distance distance between O and O ′ is . (A) electric field at points P and O ′ is equal and along PO′ (B) electric field at point point are P and and O′ is zero. (C) electric field at point P and O ′ is equal and towards OO ′ direction (D) electric field at P is towards OP and at point O ′ is along OO′

If a cha charg rge e pe per un unit le length gth on on the the wire wire show shown n in in fig figu ure is λ, electric field at c has magnitude equal to (a)

(c)

λ 4πεo a λ 2

2πεo A

(b)

+ +

λ 2πεo A

P O

+

′

+ + +

a

+ +

(d) zero

O

+ +

C

+

+

+

+

+

+

+

+

+

+

4.

A point charge of 2µC is located at a point point P(2m, 2m) 2m) in x - y plane. plane. The electric electric field due due to this point charge at point R(5m, 6m) is (a) 720 N/C along +ve x axis (b) 720N/C along -ve x axis (c) 720 N/C along the line 4x - 3y = 2 (d) 720 N along the line 4x + 3y = 0

5.

As sho shown in fifigure, if a con conductor hav having linear charge density λ is placed in circular  form in 3 quadra quadrant. nt. If magnitude magnitude of electric electric field field in +ve x-dir x-direct ection ion is E at O. Find Find the angle angle made made by result resultant ant electri electric c field field at O from y-axis. (A) tan-1(1/2) (B) tan-1 (1) (C) tan-1 (1/3) (D) none of   these

Y ++ + + + +

R O

−

−

X

−

− − −

−

−

−

−

−

FIITJEE TOWERS, No:51, Dr.Ramasamy Salai,,Near PSBB School, Opp. KK.Nagar Water tank, K.K.Nagar, Chennai - 600 078.

Quiz 6.

7.

Thre Three e iden identi tica cal, l, pa parall rallel el co conductin cting g pla plate tes s A, A, B an and C  A 2d are placed as shown. Switches S 1 and S2 are open, and can connect A and C to earth when closed. +Q charge is given to B (A) If S1 is closed with S2 open, a charge of amount Q S1 will pass through S1 (B) If S2 is closed with S1 open. A charge of amount Q will pass through S2 (C) If S1 and S2 are closed together, a charge of amount Q/3 will pass through S 1 and a charge of amount 2Q/3 will pass through S 2 (D) All the above statements are correct. Consider the shown arrangement were two metallic plates are arranged with the angle of inclination between them equal to θ . If the width of each plate (normal to the plane of figure) is c, the capacitance of the system of  plates equals ___________. ___________.

B

C

d

+Q

S2

a

b

FIITJEE TOWERS, No:51, Dr.Ramasamy Dr.Ramasamy Salai,,Near PSBB School, Opp. KK.Nagar Water tank, K.K.Nagar, Chennai - 600 078.