Electrostatic Potential & Capacitance — practice questions
95 curated practice questions from Electrostatic Potential & Capacitance (Physics Class 12, CBSE) — 33 easy, 53 medium, 9 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.
- Consider an electron in front of metallic surface at a distance d (treated as an infinite plane surface). Assume the…
- Assertion (A): If a dielectric is placed in an external field, then the field inside the dielectric will be less than…
- A spherical drop of capacitance 1 F is broken into eight drops of equal radius. Then, the capacitance of each small…
- A proton is taken from point P 1 to point P 2 , both located in an electric field. The potentials at points P 1 and P 2…
- Two capacitors of capacitances C 1 and C 2 are connected in parallel. If a charge Q is given to the combination, the…
- The dimension of 1 2 _ 0 E^ 2 where _ 0 is the permittivity of free space and E is the electric field, is
- The plates in a parallel plate capacitor are separated by a distance d with air as the medium between the plates. In…
- Three point charges, each of charge q are placed on vertices of a triangle ABC, with AB = AC =5 ~L , BC =6 ~L . The…
- Two condensers, one of capacity C and the other of capacity C 2 are connected to a V volt battery, as shown. The work…
- The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged…
- Find the charge on 2 F.
- A 4 F capacitor is charged to 400 V. If its plates are joined through a resistance, then heat produced in the…
- The electric field at a point in a region is given by E = r | r |^ 3 , where is a constant and r is the distance of the…
- The capacitors, each of 4 F are to be connected in such a way that the effective capacitance of the combination is 6 F…
- Assertion (A): Work done in moving a charge between any two points in a uniform electric field is independent of the…
- There are four-point charges +q,-q,+q and -q placed at the corners A, B, C, and D respectively of a square of side a…
- 0.2 F capacitor is charged to 600 V by a battery, on removing the battery, it is connected with another parallel plate…
- The electric potential at the surface of an atomic nucleus (Z = 50) of radius 9.0 10 -15 m is:
- A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials…
- For circuit, the equivalent capacitance between P and Q is:
- Assertion (A): Work done in moving a charge around a closed path, in an electric field is always zero. Reason (R)…
- In the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A , B , C and D…
- A series combination of n 1 capacitors, each of value C 1 is charged by a source of potential difference 4V. When…
- The capacitance of a parallel plate capacitor having a medium of dielectric constant K = 4 in between the plates is C…
- A metal sheet is inserted between the plates of a parallel plate capacitor of capacitance C. If the sheet partly…
- The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged…
- A network of four capacitors of capacitances equal to C 1 = C, C 2 = 2C, C 3 = 3C and C 4 = 4C are connected to a…
- Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately
- A capacitor made of two circular plates each of radius 12 cm and separated by 5 mm. The capacitor is being charged by…
- Assertion (A): A metallic shield in the form of a hollow shell may be built to block an electric field. Reason (R): In…
- Capacity of a parallel plate condenser is 10 F when the distance between its plates is 8 cm. If the distance between…
- Four point charges Q each, are held at the four corners of a square of side l . The amount of work done in bringing a…
- A point charge of 20 nC is fixed at the origin of x-y plane. The work done in taking a second point charge of -50 nC…
- Two capacitors of 10 F and 20 F are connected in series with a 30 V battery. The charges on the capacitors will be…
- Consider a group of charges q_1, q_2, q_3 such that q eq 0 . Then equipotentials at a large distance, due to this group…
- In the given figure, charge +Q is placed at the centre of a dotted circle. Work done in taking another charge +q from A…
- Assertion (A): The force between the plates of a parallel plate capacitor is proportional to the charge on it. Reason…
- In the circuit shown, the charge on the left plate of 20 ~F capacitor is -50 C . The charge on the right plate of the…
- The potential on the hollow sphere of radius 1 m is 1000 V, then the potential at 1 4 ~m from the centre of the sphere…
- An uncharged capacitor with a solid dielectric is connected to a similar air capacitor charged to a potential of V 0 …
- An electric dipole of dipole moment p is kept in a uniform electric field E . The amount of work done to rotate it from…
- A variable capacitor is connected to a 200 V battery. If its capacitance is changed from to , the decrease in energy of…
- If a unit positive charge is taken from one point to another over an equipotential surface, then:
- A parallel plate capacitor with oil between the plates (dielectric constant of oil, = 2) has a capacitance C. If the…
- A charge Q is uniformly distributed over the surface of a spherical shell of radius R. The work done in bringing a test…
- Assertion: Net electric field inside a conductor is zero. Reason: Total positive charge equals to total negative charge…
- Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown…
- The electrostatic force between the metal plates of an isolated parallel capacitor C having a charge Q and area A is:
- Charges + q and - q are placed at points A and B respectively which are a distance 2 L apart, C is the midpoint between…
- Three charges, each + q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, each equal to 2a. D…
- A 40 F capacitor in a defibrillator is charged to 3000 V. The energy stored in the capacitor is sent through the…
- A charge Q is kept at the centre of a circle of radius r. A test charge q 0 is carried from a point X to the point Y on…
- In which of the states shown in the figure, is potential energy of an electric dipole maximum?
- Two horizontal plates, separated by 1 cm, are arranged one above the other. A particle of mass 5 mg and charge 2 nC is…
- The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged…
- Four electric charges + q, + q, -q and - q are placed at the corners of a square of side 2 L (see figure). The electric…
- A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the…
- What would be the voltage across C 3 ?
- The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged…
- A conducting sphere of radius R carrying charge Q lies inside an uncharged conducting shell of radius 2R. If they are…
- Capacitors are used in electrical circuits where appliances need more:
- A capacitor of 2 F is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its…
- Given two hollow spherical conductors A and B as shown in the figure. Points M and N can be connected by conductor wire…
- Assertion (A): When charges are shared between any two bodies, no charge is really lost and some loss of energy does…
- Three capacitors each of capacity 4 F are to be connected in such a way that the effective capacitance is 6 F . This…
- The effective capacitance of the network between points A and B shown in the figure is:
- Two charges +q each are kept ' 2 a ' distance apart. A third charge -2 q is placed midway between them. The potential…
- Assertion (A): Electrostatic force is a conservative force. Reason (R): In an electrostatic field, the work done…
- A large solid sphere with uniformly distributed positive charge has a smooth narrow tunnel through its centre. A small…
- A point charge of 10 nC is fixed at the origin of x - y plane. A second point charge of -20 nC is moved from point ( 5…
- A parallel plate air capacitor is charged to a potential difference of V volt. After disconnecting the charging…
- A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A…
- A parallel plate capacitor is charged to V volt by a battery. The battery is disconnected and the separation between…
- Two insulated metallic spheres of 3 F and 5 F capacitances are charged to 300 V and 500 V respectively. The energy…
- An isolated conductor, with a cavity, has a net charge +Q. A point charge +q is inside the cavity. The charges on the…
- The angle between the electric lines of force and an equipotential surface:
- How many 1 F capacitors must be connected in parallel to store a charge of 1C with a potential of 110 V across the…
- A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the…
- A conducting sphere of radius R is given a charge Q . Consider three points A, B and C - A at the centre, B at a…
- Two thin dielectric slabs of dielectric constants _1 and _2 ( _1 < _2 ) are inserted between plates of a parallel plate…
- Three plates of common surface area A are connected as shown in the figure. The effective capacitance will be
- A parallel plate air capacitor has capacity C distance of separation between plates is d and potential difference V is…
- The plates P _1 and P _2 of a 2 ~F capacitor are at potentials 25 V and -25 V respectively. The charge on plate P_1…
- Four-point charges -Q, -q, 2q, and 2Q are placed, one at each corner of the square. The relation between Q and q for…
- The figure shows four pairs of parallel identical conducting plates, separated by the same distance 2.0 cm and arranged…
- Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P…
- Assertion (A): Electric potential of the earth is taken zero. Reason (R): No electric field exists on the earth's…
- The diagrams below show regions of equipotentials. A positive charge is moved from A to B in each diagram.
- A gang capacitor is formed by interlocking a number of plates as shown in the figure. The distance between the…
- In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is N volts and x, y, z are in…
- An particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta…
- In the circuit shown in the figure, the potential difference across the 4.5 F capacitor is:
- In the capacitor of capacitance C, charge Q and energy W is stored. If charge is increased upto 2 Q, the energy stored…
- Two spherical conductors A and B of radii a and b (b> a) are placed concentrically in the air. The two are connected by…
- Four charges -q, -q, +q and +q are placed at the corners of a square of side 2 L is shown in figure. The electric…