All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 12 Exam  >  Class 12 Questions  >  To form a composite 16 micro farad 1000 volt ... Start Learning for Free
SaveJoin the Discussion on the App
To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2?
Clear all your Class 12 doubts with EduRev
Most Upvoted Answer
To form a composite 16 micro farad 1000 volt capacitor from a supply o...
You have capacitors rated for 250 Volts and you need the combination to have voltage rating of 1000 volts. Hence it is obvious that you should connect four numbers in series. For such a series connection, effective capacitance is  2 micro farad, because 1/Ceffective = 1/C1 + 1/C2 +1/C3 +1/C4 = 1/8 + 1/8 + 1/8 + 1/8 = 1/2.
 Therefore Ceffective  = 2 microfarad. Hence the series combination is equivalent of 2 mcrofarads, 1000 Volts. To have capacitance of 16 microfarads, you should connect 8 such series combinations in parallel, because in parallel combination, effective capacitance is equal to summation of each capacitor.  Hence capacitors required will be:
4 nos for each series combinations × 8 such combinations = 32 capacitors...
Community Answer
To form a composite 16 micro farad 1000 volt capacitor from a supply o...
Calculating the number of capacitors required:

To form a composite capacitor with a capacitance of 16 micro farads and a voltage rating of 1000 volts, we need to determine the minimum number of capacitors required.

Given:
- Capacitors available have a capacitance of 250 volts and a voltage rating of 250 volts.

To calculate the number of capacitors required, we can use the formula:

Total capacitance = (Individual capacitance) x (Number of capacitors)

Given that the total capacitance required is 16 micro farads, and the individual capacitance of each capacitor is 250 volts, we can substitute these values into the formula:

16 micro farads = 250 volts x (Number of capacitors)

Solving the equation:

To solve for the number of capacitors, we need to rearrange the equation:

(Number of capacitors) = (Total capacitance) / (Individual capacitance)

Plugging in the values:

(Number of capacitors) = 16 micro farads / 250 volts

Converting the units to maintain consistency:

(Number of capacitors) = (16 x 10^-6 farads) / (250 volts)

(Number of capacitors) = 6.4 x 10^-8 farads/volt

Calculating the number of capacitors:

To determine the minimum number of capacitors required, we need to divide the total capacitance by the individual capacitance.

(Number of capacitors) = (6.4 x 10^-8 farads/volt) / (250 volts)

(Number of capacitors) = 2.56 x 10^-10 farads/volt

Since the number of capacitors cannot be a fraction or a decimal, we need to round up to the nearest whole number. Therefore, the minimum number of capacitors required is 3.

Final Answer:

The minimum number of capacitors required to form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked as 250 volt micro farads is option A. 40.
Explore Courses for Class 12 exam

Similar Class 12 Doubts

Read the following text and answer the following questions on the basis of the same: Capacitor Colour Code: Capacitor values as written on small capacitors are sometimes misleading. Letters like p (pico) or n (nano) are used in place of the decimal point to identify its position and the value of the capacitor. For example, a capacitor labelled as n33 = 0.33nF, 8n2 = 8.2nF, 22n = 47nF and so on. Sometimes capacitors are marked with the capital letter K to signify a value of Kilo pico-Farads. As for example, a capacitor with the markings of 100K would be 1000 × 100 pF = 100 Kpf = 100 nF. Sometimes, a three letter code consists of the two value digits and a multiplier. For example, the digits 471 = 47 × 10 = 470 pF, 332 = 33 × 100 = 3300 pf. To reduce these confusions an International colour coding scheme was developed almost the same as that of resistance colour code.The value obtained from colour code is in pf.68k is written on a capacitor. What is its value?

Read the following text and answer the following questions on the basis of the same:Capacitor Colour Code: Capacitor values as written on small capacitors are sometimes misleading. Letters like p (pico) or n (nano) are used in place of the decimal point to identify its position and the value of the capacitor. For example, a capacitor labelled as n33 = 0.33nF, 8n2 = 8.2nF, 22n = 47nF and so on. Sometimes capacitors are marked with the capital letter K to signify a value of Kilo pico-Farads. As for example, a capacitor with the markings of 100K would be 1000 × 100 pF = 100 Kpf = 100 nF. Sometimes, a three letter code consists of the two value digits and a multiplier. For example, the digits 471 = 47 × 10 = 470 pF, 332 = 33 × 100 = 3300 pf. To reduce these confusions an International colour coding scheme was developed almost the same as that of resistance colour code.The value obtained from colour code is in pf.Two capacitors marked as 221 and 220 respectively are joined in parallel. What is the total capacitance value?

Read the following text and answer the following questions on the basis of the same: Capacitor Colour Code: Capacitor values as written on small capacitors are sometimes misleading. Letters like p (pico) or n (nano) are used in place of the decimal point to identify its position and the value of the capacitor. For example, a capacitor labelled as n33 = 0.33nF, 8n2 = 8.2nF, 22n = 47nF and so on. Sometimes capacitors are marked with the capital letter K to signify a value of Kilo pico-Farads. As for example, a capacitor with the markings of 100K would be 1000 × 100 pF = 100 Kpf = 100 nF. Sometimes, a three letter code consists of the two value digits and a multiplier. For example, the digits 471 = 47 × 10 = 470 pF, 332 = 33 × 100 = 3300 pf. To reduce these confusions an International colour coding scheme was developed almost the same as that of resistance colour code.The value obtained from colour code is in pf.What will be the colour code of a 27 nF capacitor?

Read the following text and answer the following questions on the basis of the same: Supercapacitor: Super capacitor is a high capacity capacitor with a capacitance value much higher than normal capacitors but with lower voltage limits. Such capacitors bridges the gap between electrolytic capacitors and rechargeable batteries. In automobile, bus, train, crane, elevator such capacitors are used for regenerative braking, short term energy storage or burst-mode power delivery. Super capacitors have many advantages over batteries: they are very low weight and generally don't contain harmful chemicals or toxic metal. They can be charged and discharged innumerable number of times without ever wearing out. The disadvantage is that super capacitors aren’t well-suited for long-term energy storage. The discharge rate of super capacitors is significantly higher than lithium-ion batteries; they can lose as much as 10-20% of their charge per day due to self discharge.Self-discharge rate of Supercapacitors

To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2?
Question Description
To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2?.
Solutions for To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? defined & explained in the simplest way possible. Besides giving the explanation of To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2?, a detailed solution for To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? has been provided alongside types of To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? theory, EduRev gives you an ample number of questions to practice To form a composite 16 micro farad 1000 volt capacitor from a supply of identical capacitors marked it micro farad 250 volt we require minimum number of capacitors A.40 B.32 C.8 D.2? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup