Advertisements
Advertisements
Question
The capacitors, each of 4 µF are to be connected in such a way that the effective capacitance of the combination is 6 µF. This can be achieved by connecting ______.
Options
All three are in parallel.
All three are in series.
Two of them connected in series and the combination in parallel to the third.
Two of them connected in parallel and the combination in series to the third.
Advertisements
Solution
The capacitors, each of 4 µF are to be connected in such a way that the effective capacitance of the combination is 6 µF. This can be achieved by connecting two of them connected in series and the combination in parallel to the third.
Explanation:
When the capacitors are connected in parallel the equivalent capacitance is given by
`C_{eq} = C_1 + C_2 + C_3`
in series `1/C_{eq} = 1/C_1 + 1/C_2 + 1/C_3`
here `C_1 = C_2 = C_3 = 4muF`
`C_{eq} = 6muF`
So, Ceq = 6µF can only be get if two capacitors are connected in series with the third one in parallel as shown.
`C_{eq} = (4 xx 4)/(4 xx 4) + 4`
= 2 + 4 = 6µF
APPEARS IN
RELATED QUESTIONS
Three capacitors each of capacitance 9 pF are connected in series.
- What is the total capacitance of the combination?
- What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
Find the charges on the four capacitors of capacitances 1 μF, 2 μF, 3 μF and 4 μF shown in the figure.
A parallel-plate capacitor having plate area 20 cm2 and separation between the plates 1⋅00 mm is connected to a battery of 12⋅0 V. The plates are pulled apart to increase the separation to 2⋅0 mm. (a) Calculate the charge flown through the circuit during the process. (b) How much energy is absorbed by the battery during the process? (c) Calculate the stored energy in the electric field before and after the process. (d) Using the expression for the force between the plates, find the work done by the person pulling the plates apart. (e) Show and justify that no heat is produced during this transfer of charge as the separation is increased.
An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by `pi /4` . If element X is a pure resistor of 100Ω ,
(a) name the circuit element Y.
(b) calculate the rms value of current, if rms value of voltage is 141V.
(c) what will happen if the ac source is replaced by a dc source ?
The figure shows a network of five capacitors connected to a 100 V supply. Calculate the total energy stored in the network.
Two charges q1 and q2 are placed at (0, 0, d) and (0, 0, – d) respectively. Find locus of points where the potential a zero.
In the following circuit, the equivalent capacitance between terminal A and terminal B is:
The equivalent capacitance of the combination shown is:
