Dielectrics: A parallel-plate capacitor with plate separatio…

Dielectrics: A parallel-plate capacitor with plate separation of 1.0 cm has square plates, each with an area of 6.0 × 10-2 m2. What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates, completely filling them? (

Ohm’s law: When a voltage difference is applied to a piece o…

Ohm’s law: When a voltage difference is applied to a piece of metal wire, a 5.0 mA current flows through it. If this metal wire is now replaced with a silver wire having twice the diameter of the original wire, how much current will flow through the silver wire? The lengths of both wires are the same, and the voltage difference remains unchanged. (The resistivity of the original metal is 1.68 × 10-8

Motion of a charged particle: In the figure, a proton is pro…

Motion of a charged particle: In the figure, a proton is projected horizontally midway between two parallel plates that are separated by 0.50 cm.  The electrical field due to the plates has magnitude 610,000 N/C between the plates away from the edges. If the plates are 5.60 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. (e = 1.60 × 10-19 C, 

Current density: A proton beam that carries a total current…

Current density: A proton beam that carries a total current of 1.3 mA has 10.0 mm diameter. The current density in the proton beam increases linearly with distance from the center. This is expressed mathematically as J(r) = J0 (r/R), where R is the radius of the beam and J0 is the current density at the edge. Determine the value of J0.