# It is required to construct a 10 μF capacitor which can be connected across a 200V battery. Capacitors of capacitance 10 μF are available, but they can withstand the only 50V. Design a combination which can yield the desired result.

Requirement : We have to construct a 10μF capacitor, and it has to connect across a 200V battery.

Capacitors of 10μF are available, but the voltage rating is 50V only. By using these capacitors with this voltage rating, we have to meet our requirement.

Let's assume some X capacitors are placed in series. 200V battery connected across the.

So

We have to construct 4 capacitors in a series so that we get the potential difference of 200V

If we calculate the capacitance of the parallel combination of four 10μF capacitors

Putting the value of the capacitor in the above formula, we get

Thus, the capacitance of the combination is C=2.5μF

With this arrangement, we get the required potential difference value, but we are not getting the capacitor value 10μF instead of this we get only 2.5μF. So we have to add some columns. Let us take Y as columns,

So we have to add 4 columns as the same row.

That circuit will look like

Finally, the above fig will be the design for our requirements; each capacitor value is with voltage rating 50V.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on Dielectric in Capacitors37 mins
Combination of capacitors46 mins
Interactive Quiz on Combination of capacitors49 mins
How does combination of capacitors work?34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

In the circuit shown in Fig. 2.4. initially key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).

[Take Q1’ and Q2’ as charges on C1 and C2 and V1 and V2 as voltage respectively.]

Then

Physics - Exemplar