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Electrostatics Test - 6

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Electrostatics Test - 6
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  • Question 1
    1 / -0

    According to superposition of electric fields 

    Solution

  • Question 2
    1 / -0
    The work done in carrying a charge q around a circle of radius r with a charge Q at the centre is 
  • Question 3
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    A parallel plate capacitor of capacitance 5 and plate separation 6 cm is connected to a 1 V battery and charged. A dielectric of dielectric constant 4 and thickness 4 cm is introduced between the plates of the capacitor. The additional charge that flows into the capacitor from the battery is
  • Question 4
    1 / -0
    Two point charges –q and +q are located at points (0, 0, – a) and (0, 0, a), respectively. What is the electric potential at point (0, 0, z)?
  • Question 5
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    Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2 – V1 = 20 V (plate 2 is at a higher potential). The plates are separated by a distance d = 0.1 m and can be treated as infinitely large. An electron is released from rest on the inner surface of the first plate. What is its speed when it hits the second plate?
    (Given: e = 1.6 x 10–19 C, m = 9.11 x 10–31 kg) 
  • Question 6
    1 / -0

    For charges qand q2  separated by a distance R the magnitude of the electrostatic force is given by 

    Solution

    According to Coulomb’s law the force between two point charges is

    (a) The force is directly proportional to the product of magnitude of charges i.e.F∝|q1||q2|

    (b) The force is inversly proportional to the square of distance between two charges i.e. F ∝ (1/r2) (Inverse square law)

    Combining both

  • Question 7
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    The capacitance of a sphere of radius R1 is increased 3 times when it is enclosed by an earthed sphere of radius R2. The ratio R2/R1 is
  • Question 8
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    In charging by Induction 

    Solution

    If a charged object placed near an uncharge object than redistribution of charge takes place in uncharge object and if we will earthed one surface of uncharged object than one charge goes to earth and other charge spread on its surface and it becomes charged.

  • Question 9
    1 / -0
    The figure below shows four plates separated from one another by a distance d and each having an area A. What is the capacitance between P and Q?

  • Question 10
    1 / -0
    In the network shown in the figure given below, C1 = 6  and C = 9 . The equivalent capacitance between points P and Q is

  • Question 11
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    A capacitor of capacitance C1 = C is charged to a voltage V. It is then connected parallel to a series combination of two uncharged capacitors of capacitances C2 = C and C3 = C. The charge that will flow through the connecting wires is
  • Question 12
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    A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by ΔT, then the potential difference V across the capacitor will be
  • Question 13
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    A parallel plate capacitor is maintained at a certain potential difference. When a dielectric slab of thickness 3 mm is introduced between the plates, the plate separation has to be increased by 2 mm in order to maintain the same potential difference between the plates. The dielectric constant of the slab is
  • Question 14
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    A capacitor of capacitance 4  is charged to 80 V and another capacitor of capacitance 6  is charged to 30 V. When they are connected together, the energy lost by the 4  capacitor is
  • Question 15
    1 / -0

    Electric field at a point is defined as 

    Solution

    Electric field intensity of a charge at a point is given by the force exerted by that charge on test charge or unit charge at that point That is The electric field intensity of charge q is

  • Question 16
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    Four large metal plates are located a small distance apart from one another as shown in the figure. The extreme plates are earthed by a conductor, while a potential difference V is applied to the internal plates. Find the magnitudes of the electric fields between the neighbouring plates.


  • Question 17
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    The electric potential V (in volts) varies with x (in metres) according to the relation V = 5 + 4x2. The force experienced by a negative charge of 2 x 10-6 C, located at x = 0.5 m, is
  • Question 18
    1 / -0
    Directions: In the following question, statement - 1 (Assertion) is followed by statement - 2 (Reason). Select the appropriate answer.

    Statement - 1:  If an electron is moved from P to Q, its potential energy increases.



    Statement - 2: Potential at Q is less than that at P.
  • Question 19
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    Two identical capacitors, having plate separation d0, are connected parallel to each other across a point 'A' as shown in the figure. Charge Q is imparted to the system by connecting a battery across the points 'A' and 'B', and then the battery is removed. If the first plate of the first capacitor and the second plate of the second capacitor started moving with constant velocity u0 towards the left, then find the magnitude of current flowing in the loop.

  • Question 20
    1 / -0

    The unit of charge is

    Solution

    The SI unit of quantity of electric charge is the coulomb, which is equivalent to about 6.242×1018 e (e is the charge of a proton).

    Hence, the charge of an electron is approximately −1.602×10−19 C. The coulomb is defined as the quantity of charge that has passed through the cross section of an electrical conductor carrying one ampere within one second. The symbol Q is often used to denote a quantity of electricity or charge.

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