A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.

When a potential difference of 150. V is applied to the plates of an air-filled parallel-plate capacitor, the plates carry a surface charge density of 3.00 1010 C/cm2. What is the spacing between the plates?

(a) Regarding the Earth and a cloud layer 750 m above the Earth as the "plates" of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km? and the air between the cloud and the ground is pure and dry. Assume charge builds up on the cloud and on the ground until a uniform electric field of 2.00 x 105 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt. nF Enter a number. (b) What is the maximum charge the cloud can hold?

(b) If -2 the potential in region is given by V(ax, y, 2) =xy-3Z a determine the y. Component Of the electric field in that regicn is Southern Sun

(a) How much charge can be placed on a capacitor with air between the plates before it breaks down if the area of each plate is 2.00 cm? (Assume air has a dielectric strength of 3.00 x 10° V/m and dielectric constant of 1.00.) 53 The maximum value of the electric field before breakdown in air is 3 × 10° N/C in air. nC (b) Find the maximum charge if bakelite is used between the plates instead of air. (Assume bakelite has a dielectric strength of 24.0 x 10° V/m and dielectric constant of 4.9.) nC Need Help? Watch E Show My Work (Optional) ?

(II) An electric field of 8.50 x 105 V/m is desired between two parallel plates, each of area 45.0 cm2 and separated by 2.45 mm of air. What charge must be on each plate?

(II) Draw a conductor in the oblong shape of a football. This conductor carries a net negative charge -Q, Draw in a dozen or so electric field lines and equipotential lines.

(II) The electric field between the plates of a paper-separated (K = 3.75) capacitor is 8.24 x 104 V/m. The plates are 1.95 mm apart, and the charge on each is 0.675 µC. Determine the capacitance of this capacitor and the area of each plate.

(a) How much charge can be placed on a capacitor with air between the plates before it breaks down if the area of each plate is 5.00 cm2 ? (b) Find the maximum charge if polystyrene is used between the plates instead of air. Assume the dielectric strength of air is 3.00 × 106 V/m and that of polystyrene is 24.0 × 106 V/m.