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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).
A 1.25-m-diameter wrecking ball hangs motionless from a 1.75-cm-diameter cable. how much does the cable stretch
A 0.350-kg ice puck, moving east with a speed of 5.64m/s , has a head-on collision with a 0.900-kg puck initially at rest. What is the speed of the 0.350-kg puck after the collision
two charges a and b are fixed in place at different distances from a certain spot. at this spot the potentials due to
A compound microscope has objective and eyepiece focal lengths of 6.1mm and 1.9 cm , respectively. what is the magnification of the instrument
400 gram block, attached to the end of an ideal spring (horizontal)with force constant k=10 K/m, Compute angular frequency of the oscillations
What is the significance of a zero vector and Can the dot product be negative? If yes, what must be the condition?
In a supermarket, you place a 22.3 N (around 5 lb) bag of oranges on a scale, and the scale starts to oscillate at 2.7 Hz. What is the force constant (spring constant) of the spring of the scale
An 1100 N crate is being pulled across a level floor by a force F of 315 Newton at an angle of 24 degree above the horizontal. Evaluate the magnitude of the acceleration of the crate
A space vehicle is traveling at 5900 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 99 km/h relative to the command module. The mass of the motor is four times the mass of the module. What i..
A person scuffing her feet on a wool rug on a dry day accumulates a net charge of -20.6 µC. How many excess electrons does she get
Light of a certain frequency has a wavelength of 442 nm in water. The index of refraction of water for this light is 1.333. What is the wavelength of this light in benzene
a mass m at the end of a spring vibrates with a frequency of .88 hz. when an additional 680g mass is added to m the
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