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Electrostatics Test - 3

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Electrostatics Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Two small charged spheres A and B have charges 10 µC and 40 µC, respectively, and are held at a separation of 90 cm from each other. At what distance from A would the electric intensity be zero?
    Solution
  • Question 2
    1 / -0
    If the distance between two point charges is made 3 times, the new force on either charge will be _______.
    Solution
    According to Coulomb's law:

    When distance 'r' is increased to factor of 3,

    Hence, the new force on charges will be reduced to factor of 9.
  • Question 3
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.
    three charges -q, Q, -q are placed at a equal distance on a staright line. if the total potential energy of the system is zero, then what is the ratio of Q:q ?
    Solution
  • Question 4
    1 / -0
    A parallel plate capacitor has a voltage of 5 V between the two plates separated by 4 microns (1 micron = 10-6 m). What is the electric field between the capacitor plates?
    Solution
    In the parallel plate capacitor, the electric field is uniform.

    Hence,

    V/m
  • Question 5
    1 / -0
    Directions: The following question has four choices out of which ONLY ONE is correct.

    two point charges 2x10-6C & 4x10-6C are 12 cm apart. what is the amount of work done to bring the charges 3 cm closer?

    Solution
    Potential energy when charges are 12 cm apart = = 0.6 J
    Potential energy when charges are 3 cm apart = = 2.4 J
    Work done = change in potential
    Work done to bring the charges closer = 2.4 - 0.6 = 1.8 J
  • Question 6
    1 / -0
    Two charges of equal magnitudes at a distance 'r' exert a force 'F' on each other. If the charges are halved and the distance between them is doubled, then the new force acting on each charge is
    Solution


    q1 = q2 = q

    When charges are reduced to half and distance is made twice,



    Fn =
  • Question 7
    1 / -0
    Two wires A and B, made of same material and having their lengths in the ratio 6 : 1 are connected in series. The potential differences across the wires are 3 V and 2V, respectively. If rA and rB are the radii of A and B respectively, then is
    Solution
  • Question 8
    1 / -0
    Two charged spheres separated by a distance 'd' exert some force 'F' on each other. If they are immersed in a liquid of dielectric constant 4, then what is the force exerted, if all other conditions are the same?
    Solution
  • Question 9
    1 / -0
    The electric potential at a point on the axis of an electric dipole depends upon the distance r (>> a) of the point from centre of the dipole as
    Solution
  • Question 10
    1 / -0
    The electric potential due to a small electric dipole at a large distance r, from the center of the dipole is proportional to
    Solution





  • Question 11
    1 / -0
    The potential at a point P, which is forming a corner of a square of side 93 mm with charges Q1 = 33 nC, Q2 = -51 nC, Q3 = 47 nC located at the other three corners, is nearly
    Solution
  • Question 12
    1 / -0
    An electron enters uniform electric field maintained by parallel plates and of value 'E' V m-1 with a velocity ' v ' ms-1. The plates are separated by a distance 'd' metre. What is the acceleration of the electron in the field?
    Solution
    Force experienced by the electron in the electric field is



    Therefore, acceleration of an electron is

  • Question 13
    1 / -0
    The angle between electric field and equipotential surface is :
  • Question 14
    1 / -0
    A and B are two identically spherical charged bodies which repel each other with a force F when kept at a finite distance apart. A third uncharged sphere of the same size is brought in contact with sphere B and removed. It is then kept at the mid-point of the distance between A and B. What is the magnitude of force on C?
    Solution
  • Question 15
    1 / -0
    A capacitor of capacitance 50 µF charged with a potential of 3000 V is connected to a patient and every 2 minutes a pulse is sent. What is the power delivered?

    Solution
  • Question 16
    1 / -0
    A charge of magnitude 3e and mass 2m is moving in an electric field, . The acceleration imparted to the charge is
    Solution
  • Question 17
    1 / -0
    Who discovered the charge on an electron?
    Solution
    A. Millikan and Harvey Fletcher measured the elementary electric charge (the charge of the electron) in 1909.
  • Question 18
    1 / -0
    A flux of 0.2 Wb, linked with a coil having 50 turns, is reduced to zero in one second. What is the average emf induced in the coil?
    Solution
  • Question 19
    1 / -0
    In the case of a charged metallic sphere, potential (V) changes with respect to distance (r) from the centre as:

    A. (1)
    B. (2)
    C. (3)
    D. (4)
    Solution
    For the spherical shell, the charge is uniformly distributed over the surface on the sphere and the potential at the surface of the shell is constant, ; where R is the radius of the shell. Inside the shell, the electric potential is the same as that of the surface. Outside the shell, the electric potential is given by:

    So, the correct answer is 1.
  • Question 20
    1 / -0
    What is the electric potential at the center of a square in given figure ?
    Solution
  • Question 21
    1 / -0
    Bulb B1 (100 W - 250 V) and bulb B2 (100 W - 200 V) are connected across 250 V. What is potential drop across B2?

    Solution
  • Question 22
    1 / -0
    In a Van de Graff generator, the maximum potential difference is 106 V. The dielectric strength of air is 3 x 106 V/m. The minimum radius of the metallic shell is
    Solution
  • Question 23
    1 / -0
    A parallel plate condenser with a dielectric of dielectric constant, K between the plates has a capacity, C and is charged to a potential, V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is:
    Solution
  • Question 24
    1 / -0
    The work done in placing a charge of 8 x 10-18 C on a condenser of capacity 100 µF is:
    Solution
  • Question 25
    1 / -0
    Three charges, i.e. - q1, + q2 and - q3 are placed as shown in the figure. The x-component of the force on - q1 is directly proportional to



    Solution



    attractive, directed towards q2

    x copoment of the resultant force on q1



    So x component of the force is proportional to

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