Electrostatics Short answer type Questions
Electrostatics Short answer type Questions
Draw schematically an equipotential surface of a (a) uniform electrostatic field along x-axis (b) positive point charge.
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Sketch electric field lines and equipotential surface due to (a) two equal positive charges near each other (b) an electric dipole.
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Name the physical quantity whose SI unit is volt/meter. Is it a scalar or a vector quantity ?
Ans. Electric field intensity. It is a vector quantity.
Two point charges repel each other with a force F when placed in water of dielectric constant 81. What will the force between them when placed the same distance apart in air ?
Ans: Given
Electric dipole moment of CuSO4 molecule is 3.2 × 10-32 Cm. Find the separation between copper and sulphate ions.
Ans. Dipole moment (p) = q × (2a) , Charge on copper and sulphate ions = 2e = 2 × 1.6 × 10-19 C = 3.2 × 10-19 C
p = 3.2 × 10-32 Cm = q × (2a)
Separation between copper and sulphate ions (2a) = p / q = 3.2 × 10-32 Cm / 3.2 × 10-19 C = 10-13 m
Net capacitance of three identical capacitors connected in parallel is 12 microfarad. What will be the net capacitance when two of them are connected in (i) parallel (ii) series ?
Ans: When 3 capacitors are connected in parallel combination, Ceq = C1 + C2 + C3
Since, capacitors are identical (C1 = C2 = C3 = C) so, Ceq = 3C = 12 μF ➡️ C = 4 μF
(i) Net capacitance = ? When two of them are connected in parallel Cparallel = C1 + C2
Cparallel = C1 + C2 = 4 + 4 = 8 μF
(ii) Net capacitance = ? When two of them are connected in series
= 2 μF
Draw the electric field Vs distance (from the centre) graph for (i) a long charged rod having linear charge density (ii) spherical shell of radius R and charge Q > 0.
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Diagrammatically represent the position of a dipole in (i) stable (ii) unstable equilibrium when placed in a uniform electric field.
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A charge Q is distribution over a metal sphere of radius R. What is the electric field and electric potential at the centre ?
Ans: Electric field at centre of a charged metallic sphere, E = 0. Because charge inside conducting sphere is zero.
Electric potential at the centre of a charged metallic sphere
If a body contains n1 electrons and n2 protons then what is the total charge on the body ?
Ans: Q = q1 + q2 +…. + qn. (Additive property of charge)
Q = (n2 – n1)e
How does the energy of dipole change when it is rotated from unstable equilibrium to stable equilibrium in a uniform electric field.
Ans: Work done W = – pE (cosθ2 – cosθ1 )
θ1 = Initial angle between p and E = 180° (Given: under unstable equilibrium)
θ2 = Final angle between p and E = 0° (Given: under stable equilibrium)
putting value of θ1 and θ2 in above formula,
W = – pE {cos 0° – cos 180°} = – pE {1 – (-1)} = +2pE = 2pE i.e., energy decreases.