CBSE Class 12 Physics Electrostatic Potential And Capacitance Worksheet Set D

Question. In the given circuit if point C is connected to the earth and a potential of +2000V is given to the point A, the potential at B is
(a) 1500V
(b) 1000 V
(c) 500 V
(d) 400 V

Answer: C

Question. A network of four capacitors of capacity equal to C₁ = C, C₂ = 2C, C₃ = 3C and C₄ = 4C are conducted to a battery as shown in the figure. The ratio of the charges on C₂ and C₄ is 

(a) 4/7
(b) 3/22
(c) 7/4
(d) 22/3

Answer: B

Question. Two capacitors of capacitance C are connected in series. If one of them is filled with dielectric substance k, what is the effective capacitance ?
(a) kC/(1+k)
(b) C(k + 1)
(c) 2kC/1+k
(d) None of these

Answer: A

Question. Two identical particles each of mass m and having charges – q and +q are revolving in a circle of radius r under the influence of electric attraction. Kinetic energy of each particle is (k = 1/4πε₀)
(a) kq²/4r
(b) kq²/2r
(c) kq²/8r
(d) kq²/r

Answer: C

Question. Figure shows three circular arcs, each of radius R and total charge as indicated. The net electric potential at the centre of curvature is
(a) Q/4πε₀R
(b) Q/2πε₀R
(c) 2Q/πε₀R
(d) Q/πε₀R

Answer: A

Question. A condenser of capacity C is charged to a potential difference of V₁. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V₂ is 

Answer: A

Question. A 4 mF capacitor, a resistance of 2.5 MW is in series with 12V battery. Find the time after which the potential difference across the capacitor is 3 times the potential diference across the resistor. [Given In (b) = 0.693]
(a) 13.86s
(b) 6.93 s
(c) 7s
(d) 14 s

Answer: A

Question. Two charges q₁ and q₂ are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q₃/4π∈₀ k , where k is
(a) 8q₁
(b) 6q₁
(c) 8q₂
(d) 6q₂

Answer: C

Question. In the given circuit with steady current, the potential drop across the capacitor must be 
(a) 2V/3
(b) V/3
(c) V/2
(d) V

Answer: B

Question. A one microfarad capacitor of a TV is subjected to 4000 V potential difference. The energy stored in capacitor is
(a) 8 J
(b) 16 J
(c) 4 × 10^–3 J
(d) 2 × 10^–3 J

Answer: A

Question. Figure shows some equipotential lines distributed in space.
A charged object is moved from point A to point B.
(a) The work done in Fig. (i) is the greatest
(b) The work done in Fig. (ii) is least
(c) The work done is the same in Fig. (i), Fig.(ii) and Fig. (iii)
(d) The work done in Fig. (iii) is greater than Fig. (ii) but equal to that in (3)

Answer: C

Question. The diagrams below show regions of equipotentials. 

A positive charge is moved from A to B in each diagram.
(a) In all the four cases the work done is the same
(b) Minimum work is required to move q in figure (a)
(c) Maximum work is required to move q in figure (b)
(d) Maximum work is required to move q in figure (c)

Answer: A

Question. Two thin dielectric slabs of dielectric constants K₁ and K₂ (K₁ < K₂) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field ‘E’ between the plates with distance ‘d’ as measured from plate P is correctly shown by 

Answer: C

Question. A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d₁ and dielectric constant K₁ and the other has thickness d₂ and dielectric constant K₂ as shown in figure. This arrangement can be thought as a dielectric slab of thickness d (= d₁ + d₂) and effective dielectric constant K. The K is 

Answer: C

Question. A, B and C are three points in a uniform electric field. The electric potential is
(a) maximum at B
(b) maximum at C
(c) same at all the three points A, B and C
(d) maximum at A

Answer: A

Question. A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system:
(a) decreases by a factor of 2 
(b) remains the same
(c) increases by a factor of 2
(d) increases by a factor of 4

Answer: A

Question. A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are:
(a) Zero and Q/4πε₀R²
(b) Q/4πε₀R and Zero
(c) Q/4πε₀R and Q/4πε₀R²
(d) Both are zero

Answer: B

Question. A capacitor of 4 μF is connected as shown in the circuit. The internal resistance of the battery is 0.5W. The amount of charge on the capacitor plates will be 

(a) 0 μC
(b) 4 μC
(c) 16 μC
(d) 8 μC

Answer: D

Question. A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect ? 
(a) The energy stored in the capacitor decreases K times.
(b) The chance in energy stored is 1/2 CV2(1/K-1)
(c) The charge on the capacitor is not conserved.
(d) The potential difference between the plates decreases K times.

Answer: C 

Question. The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements are made in this regard S₁ at any point inside the sphere, electric intensity is zero. S₂ at any point inside the sphere, the electrostatic potential is 100V. Which of the following is a correct statement?
(a) S1 is true but S₂ is false
(b) Both S1 and S₂ are false
(c) S₁ is true, S₂ is also true and S₁ is the cause of S₂
(d) S₁ is true, S₂ is also true but the statements are independant

Answer: C

Question. Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately
(a) spheres
(b) planes
(c) paraboloids
(d) ellipsoids

Answer: A

Question. If potential (in volts) in a region is expressed as V(x, y, z) = 6 xy – y + 2yz, the electric field (in N/C) at point (1, 1, 0) is :
(a) -(6î + 5ĵ + 2k̂)
(b) -(2î + 3ĵ + k̂)
(c) -(6î + 9ĵ + k̂)
(d) -(3î + 5ĵ + 3k̂)

Answer: A

Question. A parallel plate air capacitor has capacity 'C' distance of separation between plates is 'd' and potential difference 'V' is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is :
(a) CV²/2d
(b) CV²/d
(c) C²V²/2d²
(d) C²V²/2d²

Answer: A

Question. A capacitor of 2mF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is :
(a) 0%
(b) 20%
(c) 75%
(d) 80%

Answer: D

Question. A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the charge
(a) remains a constant because the electric field is uniform
(b) increases because the charge moves along the electric field
(c) decreases because the charge moves along the electric field
(d) decreases because the charge moves opposite to the electric field

Answer: C

Question. In a region, the potential is represented by V(x, y, z) = 6x – 8xy – 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is : 
(a) 6 √5 N
(b) 30 N
(c) 24 N
(d) 4 √35 N

Answer: D

DIRECTIONS : Each question contains
STATEMENT-1 and STATEMENT-2. Choose the correct answer from the following-
(a) Statement -1 is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
(d) Statement -1 is true, Statement-2 is false

Question. Statement I : Two equipotential surfaces cannot cut each other.
Statement II : Two equipotential surfaces are parallel to each other.

Answer: D

Question. Statement 1 : Each of the plates of a parallel-plate capacitor is given equal positive charge Q. The charges on the facing surfaces will be same.
Statement 2 : A negative charge (–Q) will be induced on each of the facing surfaces.

Answer: D

Question. Statement 1 : Electric potential and electric potential energy are different quantities.
Statement 2 : For a system of positive test charge and point charge electric potential energy = electric potential.

Answer: D
 

Please click on below link to download CBSE Class 12 Physics Electrostatic Potential And Capacitance Worksheet Set D