Surface charge sigma = sigma0 multiplied by cos theta is glued on the surface of a...

Surface charge sigma = sigma0 multiplied by cos theta is glued on the surface of a sphere of radius R. Find the electric field inside and outside the sphere. Calculate the electric dipole moment p of the system. Compare the field outside the sphere with the dipolar field.

Expert Solution

genius_generous answered 2 years ago

A charge density σ(θ) = 4σ cos (θ) is glued over the surface of a spherical...

A charge density σ(θ) = 4σ cos (θ) is glued over the surface of a spherical shell of radius R. Find the resulting potential inside and outside the sphere.

Prove that 1+ cos theta + cos 2theta + .... cos ntheta = 1/2 + (sin(n+1/2)theta)/2sin(theta/2)

1)If, for a given conductor, the local surface charge density is sigma, what is the direction...

1)If, for a given conductor, the local surface charge density is sigma, what is the direction and magnitude of the electric field in that region? 2)What’s the value of the electric field inside a conductor and why? 3)Where is the excess stationary electric charge located for a conductor and why? 4)What is a Gaussian surface? 5)If you increase/decrease the area of a Gaussian surface, how does the net flux through it changes?

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as...

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.25 µC, q2 = 1.70 µC, and q3 = −1.66 µC. Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance...

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as...

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.25 µC, q2 = 1.32 µC, and q3 = −1.99 µC. Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance...

Find the area enclosed by the function r=1-cos(theta).

2. A thin disk of radius R and uniform surface charge density sigma rotates about its...

2. A thin disk of radius R and uniform surface charge density sigma rotates about its axis of symmetry with angular velocity omega = omega zhat. (a) What is the current density K(s) where s is the distance from the center? (b) Find B at the center of the disk (z=0, s=0) using Bio-Savart's law. (It's a simple integral). (c) What is the magnetic dipole moment of the disk?

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Surface charge sigma = sigma0 multiplied by cos theta is glued on the surface of a...

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A charge density σ(θ) = 4σ cos (θ) is glued over the surface of a spherical...

Prove that 1+ cos theta + cos 2theta + .... cos ntheta = 1/2 + (sin(n+1/2)theta)/2sin(theta/2)

1)If, for a given conductor, the local surface charge density is sigma, what is the direction...

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as...

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