Advertisements
Advertisements
प्रश्न
Three identical capacitors C1, C2 and C3 of capacitance 6 μF each are connected to a 12 V battery as shown.
Find
(i) charge on each capacitor
(ii) equivalent capacitance of the network
(iii) energy stored in the network of capacitors
Advertisements
उत्तर
The 12 V battery is in parallel with C1, C2, and C3. C1 and C2are in series with each other while C3 is in parallel with the combination formed by C1and C2.
Total voltage drop across C3 = 12 V
q3 = CV
Where, q = Charge on the capacitor
C1, C2, C3 = 6 μF (Given in the question)
q3 = 6 × 12 = 72 μC
Voltage drop across C1 and C2 combined will be 12 V.
Let the voltage drop at C1 = V1
Let the voltage drop at C2 = V2
Then,
V = V1 + V2
`V_1 = q_1/C`
`V_2 = q_2/C`
`q_1/6+q_2/6 = 12`
As both the capacitors are in series,
`q_1 =q_2 =q`
Then,
`q{1/6 +1/6} =12`
`q xx 1/3 =12`
Or,
q = 36 micro coulombs
Thus, charge on each of C1 and C2 is 36 coulombs.
APPEARS IN
संबंधित प्रश्न
Define capacitor reactance. Write its S.I units.
A thin metal plate P is inserted between the plates of a parallel-plate capacitor of capacitance C in such a way that its edges touch the two plates . The capacitance now becomes _________ .
Find the charge appearing on each of the three capacitors shown in figure .
A capacitor of capacitance 10 μF is connected to a battery of emf 2 V. It is found that it takes 50 ms for the charge of the capacitor to become 12.6 μC. Find the resistance of the circuit.
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.
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.
Three circuits, each consisting of a switch 'S' and two capacitors, are initially charged, as shown in the figure. After the switch has been closed, in which circuit will the charge on the left-hand capacitor
(i) increase,
(ii) decrease, and
(iii) remains the same? Give reasons.
The variation of inductive reactance (XL) of an inductor with the frequency (f) of the ac source of 100 V and variable frequency is shown in fig.
- Calculate the self-inductance of the inductor.
- When this inductor is used in series with a capacitor of unknown value and a resistor of 10 Ω at 300 s–1, maximum power dissipation occurs in the circuit. Calculate the capacitance of the capacitor.
A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system ______.
Two spherical conductors A and B of radii a and b(b > a) are placed concentrically in the air. B is given a charge +Q and A is earthed. The equivalent capacitance of the system is ______.
