Advertisements
Advertisements
प्रश्न
Take `C_1 = 4.0 "uF" and C_2 = 6.0 "uF"` in figure . Calculate the equivalent capacitance of the combination between the points indicated.
उत्तर
For the combination of capacitors given in figure (a), the pairs of capacitors C1 and C2are in parallel.
The equivalent capacitance of each parallel combination of capacitors is given by
C1 + C2 = 4 + 6 = 10 μF
The equivalent circuit can be drawn as :
The equivalent capacitance for the above series circuit is given by
`1/C_(eq) = 1/(C_1 + C_2) + 1/(C_1+C_2) = 1/10 + 1/10 = 2/10`
⇒ `C_("eq") = 5 "uF"`
For the combination of capacitors given in figure (b), the pairs of capacitors C1 and C2are in parallel.
The equivalent capacitance of each parallel combination of capacitors is given by
C1 + C2 = 4 + 6 = 10 μF
The equivalent circuit can be drawn as :
In the above circuit, it can be seen that CA and CB are in series and are in parallel to the series combination of CC and CB.
The equivalent capacitance for the series combination of CA and CB is given by
`1/C_(eq) = 1/C_A + 1/C_B = 1/(C_1+C_2) + 1/(C_1 + C_2)= 1/10 + 1/10 = 1/5`
⇒ `C_(eq) = 5 "uF"`
Similarly, the equivalent capacitance of the series combination of CC and CD is 5 μF.
∴ Net equivalent capacitance = 5 + 5 = 10 μF
APPEARS IN
संबंधित प्रश्न
As `C = (1/V) Q` , can you say that the capacitance C is proportional to the charge Q?
When 1⋅0 × 1012 electrons are transferred from one conductor to another, a potential difference of 10 V appears between the conductors. Calculate the capacitance of the two-conductor system.
Find the charge appearing on each of the three capacitors shown in figure .
A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure . The width of each stair is a and the height is b. Find the capacitance of the assembly.
Find the equivalent capacitance of the infinite ladder shown in figure between the points A and B.
A finite ladder is constructed by connecting several sections of 2 µF, 4 µF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C, such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between?
A 5⋅0 µF capacitor is charged to 12 V. The positive plate of this capacitor is now connected to the negative terminal of a 12 V battery and vice versa. Calculate the heat developed in the connecting wires.
The two square faces of a rectangular dielectric slab (dielectric constant 4⋅0) of dimensions 20 cm × 20 cm × 1⋅0 mm are metal-coated. Find the capacitance between the coated surfaces.
A parallel-plate capacitor has plate area 100 cm2 and plate separation 1⋅0 cm. A glass plate (dielectric constant 6⋅0) of thickness 6⋅0 mm and an ebonite plate (dielectric constant 4⋅0) are inserted one over the other to fill the space between the plates of the capacitor. Find the new capacitance.
Find the capacitances of the capacitors shown in figure . The plate area is Aand the separation between the plates is d. Different dielectric slabs in a particular part of the figure are of the same thickness and the entire gap between the plates is filled with the dielectric slabs.
- Charge on each capacitor remains same and equals to the main charge supplied by the battery.
- Potential difference and energy distribute in the reverse ratio of capacitance.
- Effective capacitance is even les than the least of teh individual capacitances.
Between the plates of parallel plate condenser there is 1 mm thick medium shoot of dielectric constant 4. It is charged at 100 volt. The electric field in volt/meter between the plates of capacitor is ______.
Two similar conducting spheres having charge+ q and -q are placed at 'd' seperation from each other in air. The radius of each ball is r and the separation between their centre is d (d >> r). Calculate the capacitance of the two ball system ______.
Can the potential function have a maximum or minimum in free space?
A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as ε = αU where α = 2V–1. A similar capacitor with no dielectric is charged to U0 = 78V. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.
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.
