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Obtain an expression for the volume charge density ρ(r) associated with a non-uniform polarization P(r) in a dielectric material.
The polarization in a spherical region of radius a is: P(r) = (P0)r(a-r)R, where P0 is a constant and R is a unit vector in the outward direction from the center of the sphere.
The sphere has no free charge and is placed in a region in which there is no externally applied electric field. Find the surface and volume charge densities on and within the sphere. Deduce the electric field E(r) within the sphere (in spherical coordinates div(F) = (1/(r^2))(d/dr)((r^2)Fr) + derivatives with respect to theta and phi).
Find out the magnitude and direction of the initial velocity.
A ladder leans against a wall making a 55.0° angle to the floor. The ladder is 4.50 m long, and weighs 415 N. The wall is frictionless and so is the floor. A horizontal wire is attached to the base of the ladder and attached to the wall.
A 125 kg mail bag hangs by a vertical rope 3.3 m long. A postal worker then displaces the bag to a position 2.2 m sideways from its original position, What horizontal force is necessary to hold the bag in the new position
An airplane is flying horizontally with a speed of 1000 km/h(280m/s) when an engine falls off. avoid air resistance,assume it takes 30s for the engine to hit the ground.
question1a 60.0-kg projectile is fired at the angle of 30.0deg above the horizontal with an initial speed of 1.28 102
A double convex thin glass lens has equal radii of curvature. The focal length of the lens is +63.5 cm, find The index of refraction of the glass of the plano-convex lens
A long rod of lenght " L " and cross sectional area "A" is weighted such that when it is placed in a bucket of water it floats vertically. determine the magnitude of the buoyant force on the rod
An electron beam is deflected upward through 3.23 mm while traveling in a vacuum between two deflection plates 11.6 mm apart, What is the kinetic energy of each electron when it leaves the space between the plates
A luge and its rider, with a total mass of 115 kg, emerge from a downhill track onto a horizontalstraight track with an initial speed of 40m/s. Assume that they stop with a constant deceleration of1.8 m/s2.
Two point charges are on the y-axis. A 6.0 µC charge is located at y = 1.35 cm, and a -2.20 µC charge is located at y = -1.00 cm. (a) Find the total electric potential at the origin. (b) Find the total electric potential at the point having coordi..
To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest. find the average induced emf in the coil during this time interval
A model rocket with mass 1.67kg starts from rest on the ground and accelerates upward with engine force 46.8N. find the work done by the rocket engine
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