मराठी

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge on each capacitor.

Advertisements
Advertisements

प्रश्न

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge on each capacitor.

 

व्युत्पत्ती
Advertisements

उत्तर

The equivalent capacitance = `200/3` pF

charge on C4 = `200/3 xx 10^-12 xx 300 = 2 xx 10^-8` C,

the potential difference across C4 = `(200 xx 10^-12 xx 300)/(3 xx 100 xx 10^-12)` = 200 V

potential difference across C1 = 300 - 200 = 100 V

charge on C1 = 100 × 10-12 × 100 = 1 × 10-8 C

potential difference across C2 and C3 series combination = 100 V

potential difference across C2 and C3 each = 50 V

charge on C2 and C3 each = 200 × 10-12 × 50 = 1 × 10-8 C

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2023-2024 (March) Board Sample Paper

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Two identical parallel plate capacitors A and B are connected to a battery of V volts with the switch S closed. The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant K. Find the ratio of the total electrostatic energy stored in both capacitors before and after the introduction of the dielectric.


Find the charge appearing on each of the three capacitors shown in figure .


Find the charge supplied by the battery in the arrangement shown in figure.


The outer cylinders of two cylindrical capacitors of capacitance 2⋅2 µF each, are kept in contact and the inner cylinders are connected through a wire. A battery of emf 10 V is connected as shown in figure . Find the total charge supplied by the battery to the inner cylinders.


The separation between the plates of a parallel-plate capacitor is 0⋅500 cm and its plate area is 100 cm2. A 0⋅400 cm thick metal plate is inserted into the gap with its faces parallel to the plates. Show that the capacitance of the assembly is independent of the position of the metal plate within the gap and find its value.


Three capacitors C1 = 3μF, C2 = 6μF, and C3 = 10μF are connected to a 50 V battery as  shown in Figure  below:

Calculate:
(i) The equivalent capacitance of the circuit between points A and B.
(ii) The charge on C1.


Capacitors are used in electrical circuits where appliances need more ______.

The displacement current of 4.425 µA is developed in the space between the plates of the parallel plate capacitor when voltage is changing at a rate of 106 Vs-1. The area of each plate of the capacitor is 40 cm2. The distance between each plate of the capacitor is x × 10-3 m. The value of x is ______.

(Permittivity of free space, ε0 = 8.85 × 10-12C2N-1m-2).


Two plates A and B of a parallel plate capacitor are arranged in such a way, that the area of each plate is S = 5 × 10-3 m 2 and distance between them is d = 8.85 mm. Plate A has a positive charge q1 = 10-10 C and Plate B has charge q2 = + 2 × 10-10 C. Then the charge induced on the plate B due to the plate A be - (....... × 10-11 )C


A leaky parallel plate capacitor is filled completely with a material having dielectric constant K = 5 and electric conductivity σ = 7.4 × 10-12 Ω-1 m-1. If the charge on the plate at the instant t = 0 is q = 8.85 µC, then the leakage current at the instant t = 12 s is ______ × 10-1 µA.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×