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Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is?
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Area of each plate of a parallel plate capacitor I was 100cm^2 and dis...
C = ε0AK/d = 4πε0r
r = Radius of sphere of equivalent capacity
⇒ r = AK/4πd
= 100 x 10^−4 x 6/1 x 10^−3 x 4 x 3.14
= 15/3.14 = 4.77m
r = Radius of sphere of equivalent capacity
⇒ r = AK/4πd
= 100 x 10^−4 x 6/1 x 10^−3 x 4 x 3.14
= 15/3.14 = 4.77m
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Area of each plate of a parallel plate capacitor I was 100cm^2 and dis...
Calculation of Equivalent Capacitance
- Given data:
- Area of each plate (A) = 100 cm^2 = 0.01 m^2
- Distance between plates (d) = 1 mm = 0.001 m
- Dielectric constant (ε) = 6
- Capacitance of a parallel plate capacitor is given by the formula:
C = (ε * ε0 * A) / d
where ε0 is the permittivity of free space (8.85 x 10^-12 F/m)
- Substituting the given values, we get:
C = (6 * 8.85 x 10^-12 * 0.01) / 0.001
C = 0.0531 F
Calculation of Equivalent Capacitance of a Sphere
- The equivalent capacitance of a sphere can be calculated using the formula:
C = 4πεε0r
where r is the radius of the sphere
- Equating the capacitance of the parallel plate capacitor to the capacitance of the sphere, we get:
0.0531 = 4π * 6 * 8.85 x 10^-12 * r
r = 0.00153 m
Conclusion
- The radius of the equivalent capacitance of a sphere is 0.00153 meters. This calculation helps in understanding the concept of capacitance and its application in different geometries.
- Given data:
- Area of each plate (A) = 100 cm^2 = 0.01 m^2
- Distance between plates (d) = 1 mm = 0.001 m
- Dielectric constant (ε) = 6
- Capacitance of a parallel plate capacitor is given by the formula:
C = (ε * ε0 * A) / d
where ε0 is the permittivity of free space (8.85 x 10^-12 F/m)
- Substituting the given values, we get:
C = (6 * 8.85 x 10^-12 * 0.01) / 0.001
C = 0.0531 F
Calculation of Equivalent Capacitance of a Sphere
- The equivalent capacitance of a sphere can be calculated using the formula:
C = 4πεε0r
where r is the radius of the sphere
- Equating the capacitance of the parallel plate capacitor to the capacitance of the sphere, we get:
0.0531 = 4π * 6 * 8.85 x 10^-12 * r
r = 0.00153 m
Conclusion
- The radius of the equivalent capacitance of a sphere is 0.00153 meters. This calculation helps in understanding the concept of capacitance and its application in different geometries.
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Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is?
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Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is?.
Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of each plate of a parallel plate capacitor I was 100cm^2 and distance between plate 1mm.It is filled with mica of dielectric 6 .The radius of equalent capacity of a sphere is?.
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