A capacitor consisting of two concentric spheres of radius R1 and R2 = 2.00·R1 has a capacitance of C...
A capacitor consisting of two concentric spheres of
radius R1 and R2 =
2.00·R1 has a capacitance of C = 5.00 picoFarads
and is charged to a potential difference of 80.0 Volts.
a)Calculate the energy stored in the capacitor.
b)Calculate the charge on this capacitor, when the electrical energy stored is 27.7·10-8Joules.
c)If the radius of the outer sphere is increased by a factor of 3.00 while keeping the charge on the plates constant, by what factor does the stored energy change?
Homework Answers
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A capacitor consisting of two concentric spheres of
radius R1 and R2 =
2.00·R1 has a capacitance of C...
A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer...
A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. 1. Show that the capacitance is ab/k(b − a) when the space between the inner and outer spheres is empty. Start with the result from Gauss’s law for the field outside a uniform spherical charge distribution (derive the potenital difference between the spheres). 2. What is the capacitance if a = 0.1 m and b = 0.103...
Consider two thin, concentric conducting spherical shells with radii r1 = 0.50 m and r2 =...
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Calculate the capacitance of a capacitor made of two concentric spheres of radius 2 cm and 3 cm respectively.
A spherical capacitor is formed from two concentric, spherical conducting shells separated by a vacuum.
A spherical capacitor is formed from two concentric, spherical conducting shells separated by a vacuum. The inner sphere has a radius of 15.0 cm and the capacitance of the device is 116 pF. a) What is the radius of the outer sphere? b) If the potential difference between the two spheres is 220 V, how much energy is stored in this capacitor?
Consider two concentric conducting spheres. The outer sphere is a hollow shell, with an outer radius...
Consider two concentric conducting spheres. The outer sphere is a hollow shell, with an outer radius of a1 = 11.0 cm and a thickness of 0.50 cm. It initially has a charge Q1= -11.0 nC deposited on it. The inner sphere is solid of radius a2 = 5.00 cm, and it has a charge Q2 = +3.00 nC on it. (a) How much charge is on the outer surface of the shell? (b) How much charge is on the inner...
Consider two concentric cylindrical shells, one of radius R1, and the other of radius R2 > R1.
Consider two concentric cylindrical shells, one of radius R1, and the other of radius R2 > R1. The length of the shells is L, such that L >>> R1, R2 so we can assume that E = Er(r) (cylindrical symmetry, or in other words, when we are between Rl and R2, the cylinder seems infinite). Assume the inner shell has a total charge -Q, the outer shell total charge +Q. a) Find E(r) using Gauss's law. Use a Gaussian surface...
Consider a round parallel plate capacitor consisting of two circular metal plates of radius, R =...
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2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negativ...
2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negative charge-Q is placed on the outer radius. Remember that ε in this problem depends on the radial position r. (a) Calculate D, E and P within the capacitor, as a function of r for R R2 b) Calculate the potential V, from R1...
1.) A capacitor consists of two closely spaced metal conductors of large area, separated by a...
1.) A capacitor consists of two closely spaced metal conductors
of large area,
separated by a thin insulating foil. It has an electrical capacity
of
3800 uF and is charged to a potential difference of 75.0
V. Calculate the amount of energy stored in the capacitor.
2.)Calculate the
charge on this capacitor when the electrical energy stored in the
capacitor is 9.85 J.
3.)If the two
plates of the capacitor have their separation increased by a factor
of 4 while...
Two concentric spheres are shown in the figure. The inner sphere is a solid nonconductor and...
Two concentric spheres are shown in the figure. The inner sphere
is a solid nonconductor and carries a charge of -5.00 µC uniformly
distributed over its outer surface. The outer sphere is a
conducting shell that carries a net charge of 8.00 µC. No other
charges are present. The radii shown in the figure have the values
R1 = 10.0 cm, R2 = 20.0 cm, and R3 = 30.0 cm.
(a) Find the total excess charge on the inner and...
Consider a round parallel plate capacitor consisting of two circular metal plates of radius, R = 1.0 cm, separated by d = 150 μm of air. The capacitor is connected to a potential source, as shown in the figure below. Part a Calculate the capacitance of this capacitor in picoFarads? (1pF 10-12F) pF Enter answer here Part b If the potential source has a voltage of Vo 335 V, how much energy is stored on this capacitor in nanoJoules? (1nJ...
2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negative charge-Q is placed on the outer radius. Remember that ε in this problem depends on the radial position r. (a) Calculate D, E and P within the capacitor, as a function of r for R R2 b) Calculate the potential V, from R1...
1.) A capacitor consists of two closely spaced metal conductors
of large area,
separated by a thin insulating foil. It has an electrical capacity
of
3800 uF and is charged to a potential difference of 75.0
V. Calculate the amount of energy stored in the capacitor.
2.)Calculate the
charge on this capacitor when the electrical energy stored in the
capacitor is 9.85 J.
3.)If the two
plates of the capacitor have their separation increased by a factor
of 4 while...
Two concentric spheres are shown in the figure. The inner sphere
is a solid nonconductor and carries a charge of -5.00 µC uniformly
distributed over its outer surface. The outer sphere is a
conducting shell that carries a net charge of 8.00 µC. No other
charges are present. The radii shown in the figure have the values
R1 = 10.0 cm, R2 = 20.0 cm, and R3 = 30.0 cm.
(a) Find the total excess charge on the inner and...
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