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.
