Shared by a Veda learner · Generated with Veda AI
This paper tests electrostatics (Coulomb's law, electric field, flux, Gauss's law, potential, capacitors, dielectrics, dipoles) and current electricity (Ohm's law, resistance combinations, Kirchhoff's laws, drift velocit…
Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
In the given circuit, what will be the current passing through the 15 Ω resistor?
Zero (by symmetry / balanced bridge condition).
The full exam-length answer is in the app.
Consider the electrical network shown in the figure. The equivalent resistance between the terminals a and b is:
4 Ω (balanced Wheatstone bridge).
The full exam-length answer is in the app.
A parallel plate capacitor has a capacitance C. The distance between the plates is d. A dielectric slab of thickness d/2 and dielectric constant K is inserted between the plates. The new capacitance will be:
2CK/(K+1).
The full exam-length answer is in the app.
A copper wire of radius 1 mm contains 10²² free electrons per cubic metre. If a current of 10 A flows through the wire, the drift velocity of the electrons is: (charge of electron = 1.6 x 10⁻¹⁹ C)
6.25 x 10⁻⁴ m/s (using v_d = I/(nAe)).
The full exam-length answer is in the app.
Identical electric charges are placed at the two ends of a line segment of length L. The electric field at the mid-point (O) of the segment due to any single charge is E₀. The net field at a point B, on the perpendicular bisector, (where OB = x, x << L) is nearly:
4E₀x/L (dipole-like field at small x).
The full exam-length answer is in the app.
Two identically sized spherical volume charge distributions, carrying uniform charge densities ρ₁ and ρ₂, are superposed, so that their centres A,B lie on each other's outer surfaces. The overlap region has the charge density ρ₁ + ρ₂. It is observed that the electric field at A equals that at B, both in magnitude and direction. Then, it can be concluded that:
ρ₁ = ρ₂ (symmetry of field equality).
The full exam-length answer is in the app.
A capacitor of capacitance 5 μF is connected to a battery of EMF 10 V. At a certain instant during the charging process, the potential difference across the capacitor is 4 V and the rate of change of this potential difference is 0.6 V/s. The time rate at which electrical energy is being stored in the capacitor at that instant is:
12 μW (dU/dt = CV(dV/dt) = 5μ × 4 × 0.6).
The full exam-length answer is in the app.
A charge Q (Q>0) is distributed among the three corners of an equilateral triangle of side a; the charges at the corners being all positive (or zero). Then:
The potential energy of the system is minimum if the charges are distributed as Q/3, Q/3, Q/3.
The full exam-length answer is in the app.
A neutral, isolated spherical copper particle of radius R is brought into a uniform electric field E₀. The induced dipole moment of the sphere is:
4πε₀R³E₀.
The full exam-length answer is in the app.
Identical resistances, of value R, each, are connected along the edges of a tetrahedron. If the equivalent resistance of this combination is measured between two vertices, it will be:
R/2.
The full exam-length answer is in the app.
A parallel plate capacitor with plates of dimension l × l has two identical sheets of dielectric of dielectric constant K inserted from both sides, as shown in the figure, filling the space between the plates. The capacitance between them changes as:
C = ε₀l²K / (l - x + xK).
The full exam-length answer is in the app.
A neutral, isolated spherical copper particle of radius 10 nm (1 nm = 10⁻⁹ m) is gradually charged by increasing the external voltage. The charging occurs slowly, such that electrons are added one at a time to the particle. Which of the following graphs correctly represents the variation of the total charge on the particle with the applied voltage?
Graph 2: Q increases in discrete steps with V.
The full exam-length answer is in the app.
The potential at the centre of a charged circular conducting plate of radius 10 cm is found to be 100 V. If a conducting plate of radius 20 cm is given the same amount of charge, the potential at the mid-point of its radius will be:
50 V.
The full exam-length answer is in the app.
Two parallel-plate capacitors, each having air between their plates, have plate areas 100 cm² and 500 cm², respectively. Both capacitors carry the same charge and are at the same potential. If the distance between the plates of the first capacitor is 0.5 mm, what is the distance between the plates of the second capacitor?
0.25 cm (C = ε₀A/d, same Q and V → A/d constant).
The full exam-length answer is in the app.
A dipole (p) is placed in a uniform electric field (E₀) along its axis. The potential at a point a distance R, axially in front of the dipole, is observed to be equal to that at a symmetric point (B) which is at a distance R behind it: V_A = V_B. The dipole moment, p, equals:
4πε₀E₀R³.
The full exam-length answer is in the app.
Four charged particles A, B, C, and D are placed at the four corners of a square, as shown in the figure. Charges A and D each carry a charge of +2 C, while charges B and C each carry a charge of -4 C. A particle q of charge +1 C is placed at the centre of the square. The net electrostatic force acting on q due to the other four charges is:
0 N (by symmetry).
The full exam-length answer is in the app.
What will be the equivalent capacitance across points A and B in the given electrical circuit?
C/2.
The full exam-length answer is in the app.
The separation between the plates of the capacitor C₂ is x. The overall capacitance between A & B plotted as a function of x, is represented by the graph:
Graph 1: Capacitance decreases as x increases, non-linearly.
The full exam-length answer is in the app.
Three charged particles having charges equal to +1 C, -2 C and +3 C are placed on the x-axis at x = 1 cm, 2 cm, 3 cm respectively. Consider a sphere of radius 10 cm centred at the origin. The magnitude of the flux of the electric field of these charges through the sphere is, numerically:
Exactly equal to 2/ε₀ (net enclosed charge = +1-2+3 = 2 C).
The full exam-length answer is in the app.
Consider the force F on a charge q due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if q is placed at a distance r from the centre of the shell?
F = (1/(4πε₀)) * (Qq/r²) for r > R.
The full exam-length answer is in the app.
A uniform electric field in a region is given by E = (2i + 3j + k) N/C. A plane surface of area πR² m² is placed in this field such that its area vector is dA = πR²i m². The value of the electric flux associated with this surface is:
2πR² V-m (flux = E·A = 2 × πR²).
The full exam-length answer is in the app.
A large conducting plate carries a uniform surface charge density σ. Two equipotential surfaces are located along the direction perpendicular to the plate and are separated by a distance r. What is the potential difference between these two equipotential surfaces?
σr/ε₀ (E = σ/ε₀ for conducting plate).
The full exam-length answer is in the app.
A capacitor is charged to 10 V and then connected to an uncharged identical capacitor. The total energy stored in the system will be:
Half of the initial energy.
The full exam-length answer is in the app.
A charge Q is placed at the center of a cube. The electric flux through one face of the cube is:
Q/6ε₀.
The full exam-length answer is in the app.
A large conducting plate carries a uniform surface charge density σ. Two equipotential surfaces are located along the direction perpendicular to the plate and are separated by a distance d. What is the potential difference between these two equipotential surfaces?
σd/ε₀.
The full exam-length answer is in the app.
N identical spherical mercury droplets are charged to a potential V₀, and they coalesce to form a single spherical drop. The potential of the drop is:
N^(2/3) V₀.
The full exam-length answer is in the app.
A particle of mass m and charge q is at rest in an inertial frame. It is then given a velocity √(3c)/2, where c is the speed of light in a vacuum. The electric charge of the particle, as measured in the same inertial frame, will:
Remain equal to q (charge is invariant).
The full exam-length answer is in the app.
In Column-I are quantities associated with some devices, and in Column-II are the rules for finding equivalent values when these devices are connected in certain manner. For each quantity in Column-I, match the correct law of combination in Column-II.
A-I, B-II, C-III, D-IV (EMF series add; resistance parallel reciprocal; capacitance series reciprocal; conductance parallel add).
The full exam-length answer is in the app.
Given below are two statements. Assertion (A): The electrostatic field of a charge on a conductor is identical to that of an equal charge placed at its centre. Reason (R): Any charge given to a spherical conductor distributes itself uniformly on its surface, and this results in the field of a uniformly charged thin spherical shell.
Both (A) and (R) are True and (R) is the correct explanation of (A).
The full exam-length answer is in the app.
A dipole is placed at the centre of a uniformly charged circular ring, with the axis of the dipole along the axis of the ring. The dipole experiences:
No force and no torque.
The full exam-length answer is in the app.
Current density is the current crossing per unit area. Consider a cylindrical wire of uniform cross-section A, carrying a current I. Imagine a cross-section formed by a "30°-cut" as shown (the wire is not really cut). The current density perpendicular to this cross-section is:
I/A cos 30°.
The full exam-length answer is in the app.
Point P lies on an equipotential surface S. The electric field at point P is E. Which of the following statements are correct?
(A) and (C) only.
The full exam-length answer is in the app.
The reciprocal of resistance is:
Conductance.
The full exam-length answer is in the app.
Kirchhoff's second law is based on the principle of conservation of:
Energy.
The full exam-length answer is in the app.
A neutral, isolated spherical conductor of radius R is placed in a uniform electric field E₀. The electric field inside the conductor is:
Zero.
The full exam-length answer is in the app.
A potential difference V is applied across a resistor R. The power dissipated in the resistor is P. If the potential difference is doubled, the power dissipated will be:
4P (P ∝ V²).
The full exam-length answer is in the app.
A wire of resistance R is stretched to twice its original length. The new resistance will be:
4R (volume constant, R ∝ L²).
The full exam-length answer is in the app.
Two point charges q₁ and q₂ are separated by a distance r. The force between them is F. If the distance is doubled, the force will be:
F/4 (Coulomb's inverse square law).
The full exam-length answer is in the app.
The electric field due to a uniformly charged infinite plane sheet with surface charge density σ is:
σ/2ε₀.
The full exam-length answer is in the app.
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.