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, 

Coulomb’s law: In the figure, charge q1 =  3.1 × 10-6  C is…

Coulomb’s law: In the figure, charge q1 =  3.1 × 10-6  C is placed at the origin and charge  q2 =  -8.7 × 10-6 C  is placed on the x-axis, at x = -0.20 m. Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero? 

Energy in capacitors: An ideal parallel-plate capacitor cons…

Energy in capacitors: An ideal parallel-plate capacitor consists of a set of two parallel plates of area A separated by a very small distance d. When this capacitor is connected to a battery that maintains a constant potential difference between the plates, the energy stored in the capacitor is U0. If the separation between the plates is doubled, how much energy is stored in the capacitor?