Q2. a. Find the expression for the electric field at P due to a point charge Q at (x1,y₁, Z₁) as shown in Fig. Q2a. P(x, y, z) R е (x2) Fig.Q2a b. Repeat 'a' with the charge placed at the origin and show that symmetry is apparent by expressing the electric field in spherical coordinates.
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- a This is a conducting outer shell of inner radius a and outer radius b. There's a point charge Q in the middle. The shell itself has total charge -3Q. Use spherical gaussian surfaces to find the electric field for rb. What is the surface charge density on the inside of the shell and on the outside of the shell? Draw the E-field lines. b – 3QConducting Sphere 6 v.A If a total charge of +9.6 C accumulates on the inner surface of the hollow sphere (i.e. the cavity wall), what must be the charge Q of the enclosed point charge? Enter the numerical value in SI units. Type your answer... 7 metal What is the direction of the electric field at point P? A point charge Q is located in an enclosed cavity within a hollow conducting metal sphere. The region in the cavity between the point charge and the sphere is empty space. Point P is completely within the metal. O The electric field at point P is zero. O The direction depends on the value of the charge on the outer surface of the sphere.y The figure above shows a contour consisting of two semicircular parts, of radii a and b respectively (b> a), that are connected by two short straight-line segments. This contour has a uniform charge distribution p₁ on it. Determine the electric field created by this charge distribution at the origin of the coordinate system in terms of a, b, and P₁-
- please answer all parts and explanation.A uniformly charged conducting sphere of 1.2m diameter has a surface charge density of 1.8µC/m?. Find the net charge on the sphere. b. What is the total electric flux leaving the sphere? What is the magnitude of the electric field at point P, 0.7m from the center of the sphere?A long coaxial cable carries a volume charge density described by p = ks4 (where k is a constant) on the inner insulating cylinder (radius a), and a uniform surface charge density ? (sigma) on the outer conducting cylindrical shell (radius b). Assume that the coaxial cable is electrically neutral (i.e. Qtotal = 0) and you may ignore the edge effects of the cylindrical shells.a. Determine the electric field everywhere in terms of the total charge per unit length of the inner cylinder ?inner (lambdainner).