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The structure of a spherical capacitor consists of two main components: the inner sphere and the outer sphere, separated by a dielectric material Inner Sphere (Conductor): The inner sphere of a spherical capacitor is a metallic conductor characterized by its spherical shape, functioning as one of the capacitor’s electrodes.
The electric field between the two spheres is uniform and radial, pointing away from the center if the outer sphere is positively charged, or towards the center if the outer sphere is negatively charged. A spherical capacitor is a space station with two layers: an inner habitat where astronauts live and an outer shell protecting them from space.
The formula for the capacitance of a spherical capacitor is: C = 4πϵ0R1R2 R2–R1 First, we need to define a Gaussian surface that encloses the inner sphere and passes through the point of interest between the spheres. A convenient choice is a spherical surface with radius r, where R1 <r <R2. The area of this surface is 4πr2.
Therefore, the potential difference across the spherical capacitor is (353 V). Problem 4:A spherical capacitor with inner radius ( r1 = 0.05 m ) and outer radius ( r2 = 0.1 m) is charged to a potential difference of ( V = 200 V) with the inner sphere earthed. Calculate the energy stored in the capacitor.
The field lines are perpendicular to the surfaces of the spheres and are stronger near the regions of higher charge density. Capacitance: The capacitance of a spherical capacitor depends on factors such as the radius of the spheres and the separation between them.
Therefore, the energy stored in the spherical capacitor is (0.835 × 10−9 J) or (0.835 nJ). Problem 3:A spherical capacitor has an inner radius (r1 = 0.2 m) and an outer radius (r2 = 0.4 m). The charge on the capacitor is (Q = 5 × 10−9 C). Calculate the potential difference across the capacitor.
Consider a capacitor consisting of two concentric conducting spherical shells. Both shells have a noticeable thickness. The inside shell has an inner radius a and an outer radiusb. The outside …
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A spherical capacitor is a type of capacitor that consists of two concentric spherical conductors with different radii. The inner conductor has a charge +Q and the outer conductor has a charge -Q. The capacitance of a spherical …
Capacitors are physical objects typically composed of two electrical conductors that store energy in the electric field between the conductors. Capacitors are characterized by how much charge …
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Consider a capacitor consisting of two concentric conducting spherical shells. Both shells have …
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Spherical capacitor when inner sphere is earthed. If a positive charge of Q coulombs is given to the outer sphere B, it will distribute itself over both its inner and outer surfaces. Let the charges of $Q_1$ and $Q_2$ coulombs be at the …
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Spherical capacitor when inner sphere is earthed. If a positive charge of Q coulombs is given to the outer sphere B, it will distribute itself over both its inner and outer surfaces. Let the charges …
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A capacitor is a device used to store electrical charge and electrical energy. It consists of at least two electrical conductors separated by a distance. ... (R_1) (inner shell) …
A spherical capacitor is a type of capacitor that consists of two concentric spherical conductors with different radii. The inner conductor has a charge +Q and the outer conductor has a …
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