A sphere of radius a has potential (sin 2θ)( cos ϕ) on its surface. Find the potential at all points outside the sphere.
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A sphere of radius a has potential (sin 2θ)( cos ϕ) on its surface. Find the potential at all points outside the sphere.
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- What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 13.97 nC/m is distributed along the z axis from z = 2.1 m to z = 6.45 m. Round your answer to 2 decimal places.A disk of radius R is sprayed with a charged paint so that the resulting charge density varies continually with radial distance, r, from the center of the disc according to σ = σ0 r/R Observation point P is located on the symmetry axis at a distance hℎ above the plane of the disc, as shown. If R=5.65 cm, h=10.97 cm and σ0=7.03 nC/m2, then what is the potential, in volts, at observation point P?What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 11.46 nC/m is distributed along the z axis from z = 2.6 m to z = 6.12 m.
- An infinitely long metal cylinder has radius R0 and charge per unit length λ. It is held at potential V0, which you should use as the reference point for this problem. The cylinder is solid (not hollow) and in electrostatic equilibrium. (a) Find the electric potential outside the cylinder, for a distance r > R0 from the center of the cylinder. (b) Find the electric potential inside the cylinder, at a distance r < R0 from the center of the cylinder.Two short non-conducting rods of lengths L and 2L are aligned on the y-axis as shown below. The lower rod (-L < y < 0) has a negative linear charge density of -A. The upper rod (0 < y < 2L) has a positive linear charge density of +A. The magnitudes of the linear charge densities are the same such that -A = - (+1) Find the potential V for a point located on the x-axis at x = a due to the presence of both charged rods. Assume V = 0 at infinity. (Hint: Partial symmetry can be used to simplify the problem). +2L (0, 0) -L V-yThe potential at the surface of a sphere of radius R is given by V_0 = k cos(3θ), where k is a constant, and θ is the usual spherical coordinate. There is no charge inside or outside the sphere.(a) Find the potential inside and outside the sphere(b) Find the surface charge density σ(θ) on the sphere
- Find the net electric potential at origin due to the given charges. Let Q = + 2 µc, Q = +5 µC, and Q,= - 8 µC, Q2A total electric charge of Q is injected into a solid conducting sphere of radius R. At the instance of injection, the charge is uniformly distributed throughout the sphere. Assuming that the sphere is in vacuum, develop an expression for the electric potential inside the sphere at a much later point in time, as a function of distance r away from the centre of the sphere