JEE Questions for Physics Electrostatics I Quiz 24 - MCQExams.com

Four condensers are joined as shown in the adjoining figure. The capacity of each is 8µF. The equivalent capacity between the points A and B will be
Physics-Electrostatics I-72631.png
  • 32 µF
  • 2 µF
  • 8 µF
  • 16 µF
The capacities and connection of five capacitors are shown in the adjoining figure. The potential difference between the points A and B is 60 volts. Then the equivalent capacity between A and B and the charge on 5 µF capacitance will be respectively
Physics-Electrostatics I-72633.png
  • 44 µF ; 300µC
  • 16 µF ;150µC
  • 15µF ; 200µC
  • 4µF ; 50µC
Four plates of the same area of cross–section are joined as shown in the figure. The distance between each plate is d. The equivalent capacity across A and B will be
Physics-Electrostatics I-72635.png

  • Physics-Electrostatics I-72636.png
  • 2)
    Physics-Electrostatics I-72637.png

  • Physics-Electrostatics I-72638.png

  • Physics-Electrostatics I-72639.png
In the adjoining figure, four capacitors are shown with their respective capacities and the P.D. applied. The charge and the P.D. across the 4 µF capacitor will be
Physics-Electrostatics I-72641.png
  • 600 µC; 150 volts
  • 300 µC; 75 volts
  • 800 µC; 200 volts
  • 580 µC ; 145 volts
Three identical capacitors are combined differently. For the same voltage to each combination, the one that stores the greatest energy is
  • Two in parallel and the third in series with it
  • Three in series
  • Three in parallel
  • Two in series and third in parallel with it
Two capacitors each of capacity 2µF are connected in parallel. This system is connected in series with a third capacitor of 12µF capacity. The equivalent capacity of the system will be
  • 16µF
  • 13µF
  • 4µF
  • 3µF
The resultant capacitance between A and B in the following figure is equal to
Physics-Electrostatics I-72645.png
  • 1µF
  • 3µF
  • 2µF
  • 1.5µF
A condenser having a capacity of 6µF is charged to 100 Vand is then joined to an uncharged condenser of 14µF and then removed. The ratio of the charges on 6µF and14µF and the potential of 6µF will be

  • Physics-Electrostatics I-72647.png
  • 2)
    Physics-Electrostatics I-72648.png

  • Physics-Electrostatics I-72649.png

  • Physics-Electrostatics I-72650.png
In the circuit shown in the figure, the potential difference across the 4.5 µF capacitor is
Physics-Electrostatics I-72652.png
  • 8/3 volts
  • 4 volts
  • 6 volts
  • 8 volts
A capacitor 4µF charged to 50 V is connected to another capacitor of 2µF charged to 100V with plates of like charges connected together. The total energy beforeand after connection in multiples of (10–2J) is
  • 1.5 and 1.33
  • 1.33 and 1.5
  • 3.0 and 2.67
  • 2.67 and 3.0
Two capacitors of 3 pF and 6 pF are connected in series and a potential difference of 5000 V is applied across the combination. They are then disconnected and reconnected in parallel. The potential between the plates is
  • 2250 V
  • 2222 V
  • 2.25 × 106 V
  • 1.1 × 106 V
To identical parallel plate capacitors are connected in series to a battery of 100 V. A dielectric slab of dielectric constant 4.0 is inserted between the plates of second capacitor. The potential difference across the capacitors will now be respectively
  • 50 V, 50 V
  • 80 V, 20 V
  • 20 V, 80 V
  • 75 V, 25 V
Four capacitors are connected as shown in the equivalent capacitance between the points P and Q is
Physics-Electrostatics I-72657.png

  • Physics-Electrostatics I-72658.png
  • 2)
    Physics-Electrostatics I-72659.png

  • Physics-Electrostatics I-72660.png

  • Physics-Electrostatics I-72661.png
The total capacity of the system of capacitors shown is in the adjoining figure between the points A and B is
Physics-Electrostatics I-72663.png
  • 1 µF
  • 2 µF
  • 3 µF
  • 4 µF
A condenser of capacity C1 is charged to a potential V0. The electrostatic energy stored in it is U0. It is connected to another uncharged condenser of capacity C2 in parallel. The energy dissipated in the process is

  • Physics-Electrostatics I-72665.png
  • 2)
    Physics-Electrostatics I-72666.png

  • Physics-Electrostatics I-72667.png

  • Physics-Electrostatics I-72668.png
Three capacitors each of 6µF are available. The minimum and maximum capacitances which many be obtained are
  • 6µF, 18µF.
  • 3µF , 12µF
  • 2µF , 12µF
  • 2µF , 18µF
Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in pF between points A and B will be
Physics-Electrostatics I-72670.png

  • Physics-Electrostatics I-72671.png
  • 4
  • 5
  • 18
100 capacitors each having a capacity of 10µF are connected in parallel and are charged by a potential difference of 100 kV. The energy stored in the capacitors and the cost of charging them, if electrical energy costs 108 paise per kWh, will be
  • 107 J and 300 paise
  • 5 × 106 J and 300 paise
  • 5 × 106 J and 150 paise
  • 107 J and 150 paise
Six capacitors each of capacitance of 2µF are connected as shown in the figure, The effective capacitance between A and B is
Physics-Electrostatics I-72674.png
  • 12µF
  • 8/3µF
  • 3µF
  • 6µF
  • 2/3µF
Two condensers, one of capacity C and the other of capacity C/2, are connected to a V –volt battery, as shown
The work done in charging fully both the condensers is
Physics-Electrostatics I-72676.png

  • Physics-Electrostatics I-72677.png
  • 2)
    Physics-Electrostatics I-72678.png

  • Physics-Electrostatics I-72679.png

  • Physics-Electrostatics I-72680.png
In the circuit shown here C1 = 6µF, C2 = 3µF and battery B = 20V. The switch S1 is first closed. It is then opened and afterward S2 is closed. What is the charge finally on C2
Physics-Electrostatics I-72682.png
  • 120 µF
  • 80 µF
  • 40 µF
  • 20 µF
A 10µF capacitor and a 20µF capacitor are connected in series across a 200 V supply line. The charged capacitors are then disconnected from the line and reconnected with their positive plates together and negative plates together and no external voltage is applied. What is the potential difference across each capacitor

  • Physics-Electrostatics I-72684.png
  • 2)
    Physics-Electrostatics I-72685.png

  • Physics-Electrostatics I-72686.png
  • 200V
Two condensers C1 and C2 in a circuit are joined as shown in figure. The potential of point A is V1 and that of B is V2. The potential of point D will be
Physics-Electrostatics I-72688.png

  • Physics-Electrostatics I-72689.png
  • 2)
    Physics-Electrostatics I-72690.png

  • Physics-Electrostatics I-72691.png

  • Physics-Electrostatics I-72692.png
To obtain 3µF capacity from three capacitors of 2µF each, they will be arranged
  • All the three in series
  • All the three in parallel
  • Two capacitors in series and the third in parallel with the combination of first two
  • Two capacitors in parallel and the third in series with the combination of first two
A 10µF capacitor is charged to a potential difference of 50 V and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes 20 volt. The capacitance of second capacitor is
  • 10µF
  • 20µF
  • 30µF
  • 15µF
What is the effective capacitance between points X and Y?
Physics-Electrostatics I-72696.png
  • 24 µF
  • 18 µF
  • 12 µF
  • 6 µF
The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that
  • Their capacities are equal
  • Their capacities are 1µF and 2µF
  • Their capacities are 0.5µF and 1µF
  • Their capacities are infinite
The charge on a capacitor of capacitance 10µF connected as shown in the figure is
Physics-Electrostatics I-72699.png
  • 20 µC
  • 15 µC
  • 10 µC
  • Zero
In the given network capacitance, C1 = 10 µF, C2 = 5 µF and C3 = 4 µF. What is the resultant capacitance between A and B?
Physics-Electrostatics I-72701.png
  • 2.2 µF
  • 3.2 µF
  • 1.2 µF
  • 4.7 µF
The equivalent capacitance between A and B is
Physics-Electrostatics I-72703.png
  • 2 µF
  • 3µF
  • 5µF
  • 0.5 µF
The capacitance between the points A and B in thegiven circuit will be
Physics-Electrostatics I-72705.png
  • 1 µF
  • 2 µF
  • 3 µF
  • 4 µF
In the circuit shown in figure, each capacitor has a Capacity of 3 µF. The equivalent capacity between A and B is
Physics-Electrostatics I-72707.png

  • Physics-Electrostatics I-72708.png
  • 3 µF
  • 6µF
  • 5µF
A potential difference of 300 volts is applied to a combination of 2.0µF and 8.0µF capacitors connected in series. The charge on the 2.0µF capacitors is
  • 2.4 × 10–4 C
  • 4.8 × 10–4 C
  • 7.2 × 10–4 C
  • 9.6 × 10–4 C
A 10 µF capacitor is charged to a potential difference of 1000 V. The terminals of the charged capacitor are disconnected form the power supply and connected to the terminals of an uncharged 6µF capacitor. What is the final potential difference across each capacitor
  • 167 V
  • 100 V
  • 625 V
  • 250 V
In the figure, three capacitors each of capacitance 6 pF are connected in series. The total capacitance of the combination will be
Physics-Electrostatics I-72712.png
  • 9 × 10–12 F
  • 6 × 10–12 F
  • 3 × 10–12F
  • 2 × 10–12F
Four identical capacitors are connected as shown in diagram. When a battery of 6 V is connected between A and B, the charge store is found to be 1.5µC. The valueof C1 is
Physics-Electrostatics I-72714.png
  • 2.5 µF
  • 15 µF
  • 1.5 µF
  • 0.1µF
Three capacitors of capacitance 3 µF,10 µF and 15µF are connected in series to a voltage source of 100 V. The charge on 15µF is
  • 50 µC
  • 100 µC
  • 200 µC
  • 280 µC
Consider a parallel plate capacitor of 10µF (micro-farad) with air filled in the gap between the plates. Now one half of the space between the plates is filled with a dielectric of dielectric constant 4, as shown in the figure. The capacity of the capacitor changes to
Physics-Electrostatics I-72717.png
  • 25 µF
  • 20 µF
  • 40 µF
  • 5 µF
Thecombinationofcapacitorswith C1 = 3 µF, C2 = 4 µF and C3 = 2µF is charged by connecting AB to a battery.
Consider the following statements
I. Energy stored in C1 = Energy stored in C2+ Energy stored in C3
II. Charge on C1 = Charge on C2 + Charge on C3
III. Potential drop across C1= Potential drop across C2 = Potential drop across C3
Which of these is/are correct?
Physics-Electrostatics I-72719.png
  • I and II
  • II only
  • I and III
  • III only
A 20 F capacitor is charged to 5V and isolated. It is then connected in parallel with an uncharged 30 F capacitor. The decrease in the energy of the system will be
  • 25 J
  • 200 J
  • 125 J
  • 150 J
A parallel plate capacitor has capacitance C. If it is equally filled with parallel layers of materials of dielectric constants K1 and K2 its capacity becomes C1.
The ratio of C1 to C is

  • Physics-Electrostatics I-72721.png
  • 2)
    Physics-Electrostatics I-72722.png

  • Physics-Electrostatics I-72723.png

  • Physics-Electrostatics I-72724.png
The equivalent capacitance between A and B is
Physics-Electrostatics I-72726.png
  • C/4
  • 3C/4
  • C/3
  • 4C/3
The effective capacity between A and Bin the figure given is
Physics-Electrostatics I-72728.png

  • Physics-Electrostatics I-72729.png
  • 2)
    Physics-Electrostatics I-72730.png

  • Physics-Electrostatics I-72731.png

  • Physics-Electrostatics I-72732.png
Three capacitors of 2 µF,3 µF and 6 µF are joined in series the combination is charged by means of a 24 volt battery. The potential difference between the plates ofthe 6 µF capacitor is
  • 4 volt
  • 6 volt
  • 8 volt
  • 10 volt
The charge on any one of the 2 µF capacitors and 1 µF capacitor will be given respectively (in µC) as
Physics-Electrostatics I-72735.png
  • 1, 2
  • 2, 1
  • 1, 1
  • 2, 2
When two identical capacitors are in series have 3 µF capacitance and when parallel 12 µF. What is the capacitance of each?
  • 6µF
  • 3µF
  • 12µF
  • 9µF
Three capacitors each of capacity 4µF are to be connected in such a way that the effective capacitanceis 6µF. This can be done by
  • Connecting them in parallel
  • Connecting two in series and one in parallel
  • Connecting two in parallel and one in series
  • Connecting all of them in series
A capacitor of capacity C1 is charged uptoV volt and then connected to an uncharged capacitor of capacity C2. Then final potential difference across each will be

  • Physics-Electrostatics I-72739.png
  • 2)
    Physics-Electrostatics I-72740.png

  • Physics-Electrostatics I-72741.png

  • Physics-Electrostatics I-72742.png
Two capacitors of capacitance 2µF and 3µF are joined in series. Outer plate first capacitor is at 1000 volt and outer plate of second capacitor is earthed (grounded). Now the potential on inner plate of each capacitor will be
  • 700 Volt
  • 200 Volt
  • 600 Volt
  • 400 Volt
In the figure a potential of +1200V is given to point A and point B is earthed, what is the potential at the point P?
Physics-Electrostatics I-72745.png
  • 100 V
  • 200 V
  • 400 V
  • 600 V
0:0:1


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