A parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d<<ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant κ fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown in the figure. (a) Find the capacitance when the left edge of the dielectric is at a distance x from the center of the capacitor. (Use the following as necessary: ℓ, ε0, κ, x, and d.) (b) If the dielectric is removed at a constant speed v, what is the magnitude of the current in the circuit, and its direction, as the dielectric is being withdrawn? (Use the following as necessary: ℓ, ε0, κ, ΔV, v, and d.)
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.
A parallel-plate capacitor consists of square plates of edge length ℓ that are separated by a distance d, where d<<ℓ. A potential difference ΔV is maintained between the plates. A material of dielectric constant κ fills half the space between the plates. The dielectric slab is withdrawn from the capacitor as shown in the figure.
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