Capacitors and Capacitance
Engineering entrance physics covering capacitance units, calculations, dielectrics, series and parallel connections, and energy considerations
Questions
What is the C.G.S. unit of capacity?
- Stat faraday
- Dyne/stat coulomb
- Erg/stat coulomb
- erg
- Erg/sec
Two conductors insulated from each other are charged by transferring electrons from one conductor to another. A potential difference of 200 V was produced on transferring 6.25 x 1015 electrons from one conductor to another. The capacity of the system will be _________.
- 2 x 10-1 F
- 5 x 10-6 F
- 2 x 105 F
- 1.95 x 1036 F
- 51.28 x 1034 F
Find out the common potential of two spheres of radius 30 cm and 60 cm, which are charged to potential 60 volt to 55 volt, and are connected by a wire.
- 44.3
- 17 x 10-3
- 35.29 x 10-2
- 28.3 x 10-1
- 56.66
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A Leyden jar has a radius of 20 cm the height of the tin foils is 10 cm and thickness of glass is 3 cm. If state-independent contextuality (SIC) of glass is 6.4, then find out its capacity.
- 4.74 x 10-10
- 4.26
- 0
- 6144 x 10-5
- 6.82 x 10-9
If five identical condensers are connected in series, then their equivalent capacity is 6 microfarad. Find out the equivalent capacity when they are connected in parallel.
- 150 µF
- 6 µF
- 55 µF
- 5 µF
- 16 µF
Find the capacity of parallel plate condenser consisting of two plates of area 100 cm. The plates are separated by a mica sheet of relative permittivity 6 and thickness 1 mm.
- 53.1 x 10-11
- C = 53.1 x 10-17
- 53.1 x 10-7
- 53.1 x 10-13
- 1.475 x 10-17
There is a model of a red blood cell capacitor. The radius of the blood cell is about 6 µm and the membrane wall of 0.1 µm is considered to be a dielectric material with a dielectric constant of the cell is ________.
- 0.2 x 10-12 F
- 0.18 x 10-2 F
- 0.18 x 10-9 F
- 0.2 x 10-19 F
- 0.36 x 10-3 F
An air capacitor C, is connected to a battery of emf V. It acquires a charge Q and energy E. The capacitor is then disconnected from the battery and a dielectric slab is introduced between the plates. Which of the following is true?
- The values of Q and C increase but values of V and E decrease.
- The values of V and Q decrease but values of E and C increase.
- V remains unchanged but the values of Q, E and C increase.
- Q remains unchanged, C increases and the values of V and E decrease.
- The values of Q, C, V and E, increase.
A capacitor of 5 µF is charged to a potential difference of 200 V. If it is discharged through two resistors of 700 and 300 ohms in series, what is the energy dissipated in each of the two resistors?
- 0.07 J and 0.03 J
- 0.03 J and 0.07 J
- 9 J and 49 J
- 21 J and 21 J
- 0.1 J and 0.1 J
The distance between plates of parallel plates condenser is 2 cm and area of each plate is 31.41 cm2. A glass slab of thickness 1 cm and area equal to the area of the plate is kept inside it. Find out the capacity if the relative permittivity of glass slab is 6.
- 0.238 x 10-11 F
- 26.92 x 10-2 F
- 18.5 x 10-6 F
- 31.41 x 10-2 F
- 31.41 x 10-6 F
If 125 identical drops each of capacity C combines to form a big drop, what is the capacity of big drop?
- 125 C
- 5/C
- 25/C
- 25 C
- 5 C
When a battery of emf 12 volt is connected to a conductor, it gets a charge of 60 µC. Find out the capacity of the conductor.
- 72 µF
- 720 µF
- 5 µF
- 48 µF
- 360 µF
Two capacitors of capacitances C1 and C2 are connected across 200 V power supply. The potential drop across C1 is 120 V. A capacitor of capacitance 2µF is connected in parallel with C1 and the potential drop across C2 becomes 160 V. What are the values of V C1 and C2 (in µF)?
- 2.4 and 1.6
- 0.4 and 0.6
- 0.6 and 0.4
- 0.6 and 0.13
- 0.13 and 0.6
A dielectric slab of thickness 4 mm is placed between the plates of a parallel plate condenser. When the distance between the plates is increased by 3.5 mm, then the capacity of the condenser remains same. Find the dielectric of the medium.
- 8
- 30 x 10-6
- 2 x 10-6
- 1.87
- 12.5 x 10-2
Find out the heat generated in the wire of 8 µF capacitor, which is charged to 200 volt and its plates are connected to a resistance wire.
- 16 x 10-2 joule
- 8 x 10-4 joule
- 32 x 10-2 joule
- 4 x 10-8 joule
- 16 x 10-4 joule