JEE Questions for Physics Electrostatics I Quiz 14 - MCQExams.com

The equivalent capacitance between A and B in the figure is 1 µF. Then, the value of capacitance C is
Physics-Electrostatics I-71440.png
  • 1.4 µF
  • 2.5 µF
  • 3.5 µF
  • 1.2 µF
The effective capacitance between the points P and Q of the arrangement shown in the figure is
Physics-Electrostatics I-71442.png

  • Physics-Electrostatics I-71443.png
  • 2)
    Physics-Electrostatics I-71444.png

  • Physics-Electrostatics I-71445.png

  • Physics-Electrostatics I-71446.png
A capacitor of capacitance 5 µF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plate is
Physics-Electrostatics I-71448.png
  • 0 µC
  • 5 µC
  • 10 µC
  • 25 µC
Choose the incorrect statement from the following When two identical capacitors are charged individually to different potentials and connected parallel to each other after disconnecting them from the source
  • Net charge equals the sum of initial charges
  • The net energy stored in the two capacitors is less than the sum of the initial individual energies
  • The net potential difference across them is difference from the sum of the individual initial potential difference
  • The net potential difference across them equals the sum of the individual initial potential differences
The charge on a capacitor of capacitance 10 µF connected as shown in the figure is
Physics-Electrostatics I-71450.png
  • 20 µC
  • 15 µC
  • 10 µC
  • Zero
The resultant capacitance of given circuit is
Physics-Electrostatics I-71452.png
  • 3 C
  • 2 C
  • C
  • c/3
Three plates A, B, C each of area 50 cm2 have separation 3 mm between A and B and 3 mm between B and C. The energy stored when the plates are fully charge is
Physics-Electrostatics I-71454.png
  • 1.6 × 10–9 J
  • 2.1 × 10–9 J
  • 5 × 10–9 J
  • 7 × 10–9 J
A capacitor of 20 µF is charged to 500 volts and connected in parallel with another capacitor of 10 µF and charged to 200 volts. The common potential is
  • 200 volts
  • 300 volts
  • 400 volts
  • 500 volts
What is the effective capacitance between A and B in the following figure?
Physics-Electrostatics I-71457.png
  • 1 µF
  • 2 µF
  • 1.5 µF
  • 2.5 µF
Ten capacitor are joined in parallel and charged with a battery up to a potential V. They are then disconnected from battery and joined again in series then the potential of this combination will be
  • V
  • 10V
  • 5V
  • 2V
In the circuit here, the steady state voltage across capacitor C is a fraction of the battery e.m.f. The fraction is decided by
Physics-Electrostatics I-71460.png
  • R1 only
  • R1 and R2 only
  • R1 and R3 only
  • R1, R2 and R3
Two capacitors A and B are connected in series with a battery as shown in the figure. When the switch S is closed and the two capacitor get charged fully, then
Physics-Electrostatics I-71462.png
  • The potential difference across the plates of A is 4Vs and across the plates of B is 6V
  • The potential difference across the plates of A is 6V and across the plates of B is 4V
  • The ratio of electrical energies stored in A and B is 2 : 3
  • The ration of charges A and B is 3 : 2
Equivalent capacitance between A and B is
Physics-Electrostatics I-71464.png
  • 10/3 µF
  • 8 µF
  • 6 µF
  • 26 µF
A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
Physics-Electrostatics I-71466.png

  • Physics-Electrostatics I-71467.png
  • 2)
    Physics-Electrostatics I-71468.png

  • Physics-Electrostatics I-71469.png

  • Physics-Electrostatics I-71470.png
Two capacitors C1 = 21.1F and C2 = 6 g in series, are connected in parallel to a third capacitor C3 = 4 g. This arrangement is then connected to a battery of e.m.f. = 2 V, as shown if the figure. How much energy is lost by the battery in charging the capacitors?
Physics-Electrostatics I-71472.png

  • Physics-Electrostatics I-71473.png
  • 2)
    Physics-Electrostatics I-71474.png

  • Physics-Electrostatics I-71475.png

  • Physics-Electrostatics I-71476.png
Two identical capacitors each of capacitance 5 µF are charged to potential 2 kV and 1 kV respectively. The –ve ends are connected together. When the + ve ends are also connected together, the loss of energy of the system is
  • 160 J
  • 0 J
  • 5 J
  • 1.25 J
An electric field is spread uniformly in Y–axis. Consider a point A as origin point. The co-ordinates of point B are equal to (0,m. The co-ordinates of point C are (2,m. At points A, B and C, electric potentials are VA, VB and VC respectively. From the following options, which is correct
  • VA = VC < VB
  • VA = VB = VC
  • VA = VB > VC
  • VA = VC > VB
Two capacitors C1 and C2 = 2C1 are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C1 holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be
Physics-Electrostatics I-71479.png
  • Q, 2Q
  • Q / 3, 2Q / 3
  • 3Q/2,3Q
  • 2 Q/3, 4 Q/3
Two capacitors of capacitances 3 µF and 6 µF are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be
  • 6 volt
  • 4 volt
  • 3 volt
  • Zero
Two identical capacitors, have the same capacitance C. One of them is charged potential V1 and the other to V2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

  • Physics-Electrostatics I-71482.png
  • 2)
    Physics-Electrostatics I-71483.png

  • Physics-Electrostatics I-71484.png

  • Physics-Electrostatics I-71485.png
In a given network the equivalent capacitance between A and B is [C2 = C4 = 1 µF, C2 = C3 = 2 µF]
Physics-Electrostatics I-71487.png
  • 3 µF
  • 6 µF
  • 4.5 µF
  • 2.5 µF
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is 5 cm2. The capacity of the unit is
Physics-Electrostatics I-71489.png
  • 1.0
  • 4 pF
  • 6.36 pF
  • 12.72 pF
In the circuit as shown in the figure the effective capacitance between A and B is
Physics-Electrostatics I-71491.png
  • 3 µF
  • 2 µF
  • 4 µF
  • 8 µF
Four equal capacitors, each of capacity C, are arranged as shown. The effective capacitance between A and B is
Physics-Electrostatics I-71493.png

  • Physics-Electrostatics I-71494.png
  • 2)
    Physics-Electrostatics I-71495.png

  • Physics-Electrostatics I-71496.png

  • Physics-Electrostatics I-71497.png
In the figure shown, the effective capacitance between the points A and B, if each has capacitance C, is
Physics-Electrostatics I-71499.png

  • Physics-Electrostatics I-71500.png
  • 2)
    Physics-Electrostatics I-71501.png

  • Physics-Electrostatics I-71502.png

  • Physics-Electrostatics I-71503.png
Three capacitors of capacitance 3 µF are connected in a circuit. Then their maximum and minimum capacitances will be
  • 9 µF, 1 µF
  • 8 µF, 2 µF
  • 9 µF, 0 µF
  • 3µF, 2 µF
A series combination of three capacitors of capacities 1 µF, 2 µF and 8 µF is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of 2µF capacitor will be
  • 1 V
  • 8 V
  • 4 V

  • Physics-Electrostatics I-71506.png
The equivalent capacitance between A and B as shown in the figure is
Physics-Electrostatics I-71508.png

  • Physics-Electrostatics I-71509.png
  • 2)
    Physics-Electrostatics I-71510.png

  • Physics-Electrostatics I-71511.png

  • Physics-Electrostatics I-71512.png
All capacitors used in the diagram are identical and each is of capacitance C. Then the effective capacitance between the points A and B is
Physics-Electrostatics I-71514.png
  • 1.5 C
  • 6 C
  • C
  • 3 C
n identical capacitors each of capacitance C when connected in parallel give the effective capacitance 90 µF and when connected in series give 2.5 µF. Then, the values of n and C respectively are
  • 6 and 15 µF
  • 5 and 18 µF
  • 15 and 6 µF
  • 18 and 5 µF
The number of ways one can arrange three identical capacitors to obtain distinct effective capacitances is
  • 8
  • 6
  • 4
  • 3
Three capacitors are connected in the arms of a triangle ABC as shown in figure 5 V is applied between A and B. The voltage between B and C is
Physics-Electrostatics I-71516.png
  • 2 V
  • 1 V
  • 3 V
  • 1.5 V
The potential difference between A and B is
Physics-Electrostatics I-71518.png
  • 13.2 V
  • –13.2 V
  • –6 V
  • 6 V
Two equal negative charge –q are fixed at the fixed points (0, a) and (0, –a) on the Y-axis. A positive charge Q is released from rest at the point (2a,on the X-axis. The charge Q will
  • Execute simple harmonic motion about the origin
  • Move to the origin and remain at rest
  • Move to infinity
  • Execute oscillatory but not simple harmonic motion
An electric line of force in the xy-plane is given by equation x2 + y2 =1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy-plane
  • Not move at all
  • Will move along straight line
  • Will move along the circular line of force
  • Information is insufficient to draw any conclusion
A positively charged ball hangs from a silk thread. We put a positive test charge q0 at a point and measure F/q0, then it can be predicted that the electric field strength E
  • > F/q0
  • = F/q0
  • < F/q0
  • Cannot be estimated
A solid metallic sphere has a charge +3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b(b > a). What is the electric field at a distance R(a < R < b) from the centre

  • Physics-Electrostatics I-71523.png
  • 2)
    Physics-Electrostatics I-71524.png

  • Physics-Electrostatics I-71525.png

  • Physics-Electrostatics I-71526.png
Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angel θ with the axis of the dipole, then the potential at P is given by (r >> 2a) (where p = 2aq)

  • Physics-Electrostatics I-71528.png
  • 2)
    Physics-Electrostatics I-71529.png

  • Physics-Electrostatics I-71530.png

  • Physics-Electrostatics I-71531.png
A point charge q is placed at a distance a/2 directly above the centre a square of side a. The electric flux through the square is
  • q/ɛ0
  • q/π ɛ0
  • q/4 ɛ0
  • q/6 ɛ0
Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If Q1 coulomb and Q2 coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of other is
  • Zero
  • 2)
    Physics-Electrostatics I-71534.png

  • Physics-Electrostatics I-71535.png

  • Physics-Electrostatics I-71536.png

Physics-Electrostatics I-71538.png

  • Physics-Electrostatics I-71539.png
  • 2)
    Physics-Electrostatics I-71540.png

  • Physics-Electrostatics I-71541.png

  • Physics-Electrostatics I-71542.png
A charge +q is fixed at each of the points x = x0, x = 3x0, x = 5x0.... infinite, on the x-axis and a charge –q is fixed at each of the points x = 2x0, x = 4x0, x = 6x0, .... infinite. Here x0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q / (4πɛ0r). Then, the potential at the origin due to the above system of charges is
  • 0
  • 2)
    Physics-Electrostatics I-71544.png

  • Physics-Electrostatics I-71545.png

  • Physics-Electrostatics I-71546.png
Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2 is the time taken for the charge to reduce to one-fourth its initial value. Then, the ratio t1 / t2 will be
  • 2
  • 1
  • 1/2
  • 1/4
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle 30° with each other. When suspended in a liquid of density 0.8g cm–3, the angle remains the same. If density of the material of the sphere is 1.6 g cm–3, the dielectric constant of the liquid is
  • 1
  • 4
  • 3
  • 2

Physics-Electrostatics I-71550.png
  • +2
  • –1
  • –2
  • Zero
A negatively charged plate has charge density of 2 × 10–6 C /m2. The initial distance of an electron which is moving towards the plate, cannot strike the plate, if it is having energy of 200 eV
  • 1.77 mm
  • 3.51 mm
  • 1.77 cm
  • 3.51 cm
The charge on 500 cc of water due to protons will be
  • 6.0 × 1027 C
  • 2.67 × 107 C
  • 6 × 1023 C
  • 1.67 × 1023 C
Electric potential is given by
V = 6x – 8xy2 – 8y + 6yz – 4z2Then electric force acting on 2C point charge placed on origin will be
  • 2 N
  • 6 N
  • 8 N
  • 20 N
The electric field in a region is radially outward with magnitude E = Aγ0 . The charge contained in a sphere of radius γ0 centered at the origin is

  • Physics-Electrostatics I-71555.png
  • 2)
    Physics-Electrostatics I-71556.png

  • Physics-Electrostatics I-71557.png

  • Physics-Electrostatics I-71558.png
Charge q is uniformly distributed over a thin half ring of radius R. The electric field at the centre of the ring is

  • Physics-Electrostatics I-71560.png
  • 2)
    Physics-Electrostatics I-71561.png

  • Physics-Electrostatics I-71562.png

  • Physics-Electrostatics I-71563.png
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