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electrostatics questions, Exams of Electrodynamics

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2021/2022

Uploaded on 04/23/2023

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School of Physics
University of Hyderabad
End Semester Examination
Electromagnetic Theory โ€“ I (PH403)
Date: 20/2/2021 Total Marks: 40 Time: 2.15 hour
--------------------------------------------------------------------------------------------------------
(Question 1-10 , carry 1 mark each)
1. Three charged particles are placed on a straight line as shown in figure. q 1 and q2
are fixed but q3 can be moved under the action of the forces from q1 and q2 . if q3
is in equilibrium then what is the relation between q1 and q2?
(a) q1 = 4q2 (b) q1 = -q2 (c) q1 = -4q2 (d) q1 = q2
2. An isolated charge q1 of mass m is suspended freely by a thread of length l. And
another charge q2 is placed at a distance r from q1. when q1 is in equilibrium, the
tension in thread will be
(a) mg (b) > mg (c) < mg (d) none of the above
3. Two free charges q and 4q are at a distance l apart. To bring the system in
equilibrium magnitude and sign of the third charge will be
(a) Q = โˆ’ 4
9 q (b) Q = 4
9 q (c) Q = 3
5 q (d) Q = โˆ’ 3
5 q
4. S1 and S2 are two parallel concentric spherical surfaces enclosing charges q and
2q respectively. Then the ratio of the electric flux
through S1 and S2 is
(a) 1/2 (b) 1/3 (c) 2 (d) 3
5. Gauss law of electrostatics states that Electric flux โˆฎ๐ธ. ๐‘‘๐‘ 
๐‘  = ๐‘ž
๐œ–0
Statement 1 : the electric field E is due to all the charges both inside and outside
the surface S
q2
q1
l
r
pf3

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School of Physics University of Hyderabad End Semester Examination Electromagnetic Theory โ€“ I (PH403) Date: 20 /2/202 1 Total Marks: 40 Time: 2.15 hour -------------------------------------------------------------------------------------------------------- (Question 1 - 10 , carry 1 mark each)

  1. Three charged particles are placed on a straight line as shown in figure. q 1 and q 2 are fixed but q 3 can be moved under the action of the forces from q 1 and q 2. if q 3 is in equilibrium then what is the relation between q 1 and q 2? (a) q 1 = 4q 2 (b) q 1 = - q 2 (c) q 1 = - 4q 2 (d) q 1 = q 2
  2. An isolated charge q 1 of mass m is suspended freely by a thread of length l. And another charge q 2 is placed at a distance r from q 1. when q 1 is in equilibrium, the tension in thread will be (a) mg (b) > mg (c) < mg (d) none of the above
  3. Two free charges q and 4q are at a distance l apart. To bring the system in equilibrium magnitude and sign of the third charge will be (a) Q = โˆ’ 4 9 q (b) Q = 4 9 q (c) Q = 3 5 q (d) Q = โˆ’ 3 5 q
  4. S 1 and S 2 are two parallel concentric spherical surfaces enclosing charges q and 2q respectively. Then the ratio of the electric flux through S 1 and S 2 is (a) 1 / 2 (b) 1 / 3 (c) 2 (d) 3
  5. Gauss law of electrostatics states that Electric flux (^) โˆฎ ๐ธ. ๐‘‘๐‘  ๐‘ 

๐‘ž ๐œ– 0 Statement 1 : the electric field E is due to all the charges both inside and outside the surface S q (^2) q 1 l r

Statement 2 : charge q is the algebraic sum of the all charges both inside and outside the surface S. (a) both are correct (b) only statement 1 is correct (c) only statement 2 is correct (d) both are incorrect

  1. A sphere of radius โ€˜ aโ€™ has a charge density which varies with distance accordingly ๏ฒ( r ) = A๐‘Ÿ 1 (^2). The electric field at a distance r < a varies with r as (a) Eโˆ ๐‘Ÿ โˆ’ 1 (^2) (b) Eโˆ ๐‘Ÿ 1 (^2) (c) Eโˆ ๐‘Ÿ 3 (^2) (d) Eโˆ ๐‘Ÿโˆ’^2 A point charge q is placed near two grounded conducting planes as shown in figure.
  2. The magnitude of the force on the charge q is (a) ๐‘˜๐‘ž^2 8 ๐‘Ž^2 (โˆš 2 โ€“ 1) (b) ๐‘˜๐‘ž^2 8 ๐‘Ž^2

(c) ๐‘˜๐‘ž^2 8 ๐‘Ž^2

1 โˆš 2 ) (d) ๐‘›๐‘œ๐‘›๐‘’ ๐‘œ๐‘“ ๐‘กโ„Ž๐‘’๐‘ ๐‘’

  1. What is the potential at charge q? (a) ๐‘˜๐‘ž ๐‘Ž

1 (^2) โˆš 2

    1. (b) ๐‘˜๐‘ž ๐‘Ž

1 (^2) โˆš 2

(c) ๐‘˜๐‘ž ๐‘Ž

1 โˆš 2

    1. (d) ๐‘›๐‘œ๐‘›๐‘’ ๐‘œ๐‘“ ๐‘กโ„Ž๐‘’๐‘ ๐‘’
  1. A point charge is placed at the centre of a hollow spherical surface. The electric flux crossing the surface will change, if (a) The sphere is replaced by a cube of different volume and cross section area (b) The point charge is moved off from the centre ( but still inside the sphere) (c ) The point charge is moved just outside the sphere (d) A second point charge is placed just outside the sphere. 10.A charge Q is to be divided in to two parts q and Q-q. What is the relation between Q to q if the two parts are placed at a distance r apart, and to have maximum Coulomb repulsion. (a) q = ๐‘„ 2 (b) q = ๐‘„ 3 (c) q = 2 ๐‘„ 2 (d) none of these