In the diagram, an isolated charged parallel-plate capacitor holding charge Q is arranged horizontally, with one plate flush with a frictionless surface. The capacitor has capacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectric constant k) inside the capacitor is attached to a hanging block (mass M) by a massless string routed over a frictionless pulley. The length of the capacitor plates and dielectric block is L along the direction of motion. Assume there is no friction between the dielectric and the capacitor plates. a. The blocks are initially at rest and the dielectric is initially completely inside the capacitor. Use conservation of mechanical energy to determine the speed v of the falling block at the moment the dielectric block completely exits the capacitor plates (in other words, determine a formula for the speed in terms of the various parameters that have been defined as algebraic variables). b. Use your result from part a to find the minimum mass M required for the blocks to begin to move. (Hint: speed squared must be a positive quantity)
Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
In the diagram, an isolated charged parallel-plate capacitor holding charge Q is
arranged horizontally, with one plate flush with a frictionless surface. The capacitor has
capacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectric
constant k) inside the capacitor is attached to a hanging block (mass M) by a massless string
routed over a frictionless pulley. The length of the capacitor plates and dielectric block is L
along the direction of motion. Assume there is no friction between the dielectric and the
capacitor plates.
a. The blocks are initially at rest and the dielectric is initially completely inside the
capacitor. Use conservation of mechanical energy to determine the speed v of the
falling block at the moment the dielectric block completely exits the capacitor plates
(in other words, determine a formula for the speed in terms of the various
parameters that have been defined as algebraic variables).
b. Use your result from part a to find the minimum mass M required for the blocks to
begin to move. (Hint: speed squared must be a positive quantity)
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