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You are given two metal sheets of mica of thickness 2×10^-5m . calculate the area of the metal required to construct a capacitor of capacity 0.02 micro faraday.?
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You are given two metal sheets of mica of thickness 2×10^-5m . calcula...
Calculation of Area of Metal Required to Construct a Capacitor


Given Data


  • Thickness of each metal sheet (mica) = 2×10^-5m

  • Capacity of capacitor (C) = 0.02 micro faraday



Formula Used

The capacitance of a parallel plate capacitor is given by:

C = εA/d
where:


  • C = capacitance of the capacitor (in farads)

  • ε = permittivity of the medium between the plates (in farads/meter)

  • A = area of each plate (in square meters)

  • d = distance between the plates (in meters)



Calculation

Since the thickness of each metal sheet (mica) is given, the distance between the plates (d) is:

d = 2 × thickness
Therefore, the distance between the plates (d) is:

d = 2 × 2×10^-5m = 4×10^-5m
Permittivity of the medium between the plates (ε) is a constant and its value is:

ε = 8.85 × 10^-12 farads/meter
Now, using the formula for capacitance, we can calculate the area of each plate (A) as follows:

A = Cd/ε
Substituting the given values, we get:

A = (0.02×10^-6 F) × (4×10^-5m) / (8.85×10^-12 F/m)
Solving the above equation, we get:

A = 0.0904 m^2

Final Answer

The area of metal required to construct a capacitor of capacity 0.02 micro faraday is 0.0904 square meters.
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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.Super capacitor makes a bridge between

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.Capacity of supercapacitor is

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.Super capacitors are used for

You are given two metal sheets of mica of thickness 2×10^-5m . calculate the area of the metal required to construct a capacitor of capacity 0.02 micro faraday.?
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You are given two metal sheets of mica of thickness 2×10^-5m . calculate the area of the metal required to construct a capacitor of capacity 0.02 micro faraday.? 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 You are given two metal sheets of mica of thickness 2×10^-5m . calculate the area of the metal required to construct a capacitor of capacity 0.02 micro faraday.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You are given two metal sheets of mica of thickness 2×10^-5m . calculate the area of the metal required to construct a capacitor of capacity 0.02 micro faraday.?.
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