Calculate the surface of a capacitor consisting of a 15-cm radius sphere with a 25-cm radius sphere with a +Q charge. (b) What is the potential difference if each conductor has a charge of +10 nc and 10nC of +10 nc and 10nC?
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- How much velocity would be required for a proton (radius 1.2 × 10−15 m) starting at infinity to just “touch” a silicon nucleus? A silicon nucleus has a charge of +14e and its radius is about 3.6 × 10−15 m. Assumethe potential of the silicon atom can be represented as a point charge.An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm², separated by a distance of 1.50 mm. A 25.0- V potential difference is applied to these plates. (a) Calculate the electric field between the plates. |kV/m (b) Calculate the surface charge density. nC/m² (c) Calculate the capacitance. pF (d) Calculate the charge on each plate. pCTwo parallel-plate capacitors C, and C, are connected in parallel to a 12.0 V battery. Both capacitors have the same plate area of 4,10 cm? and plate separation of 2.65 mm. However, the first capacitor C, is filled with air, while the second capacitor C, is filled with a dielectric that has a dielectric constant of 4.00. (a) What is the charge stored on each capacitor? Q1 = pC Q2 = pC (b) What is the total charge stored on the parallel combination? PC Additional Materials
- Consider a parallel plate capacitor having plates of area 1.4 cm2 that are separated by 0.018 mm of neoprene rubber. You may assume the rubber has a dielectric constant κ = 6.7. a) What is the capacitance in μF? b) What charge, Q, in coulombs, does it hold when 9.00 V is applied to it?Cell membranes (the walled enclosure around a cell) are typically about 7.5 nm thick. They are partially permeable to allow charged material to pass in and out, as needed. Equal but opposite charge densities build up on the inside and outside faces of such a membrane, and these charges prevent additional charges from passing through the cell wall. We can model a cell membrane as a parallel-plate capacitor, with the membrane itself containing proteins embedded in an organic material to give the membrane a dielectric constant of about 10. (See figure) (a) What is the capacitance per square centimeter of such a cell wall? (b) In its normal resting state, a cell has a potential difference of 85 mV across its membrane. What is the electric field inside this membrane? (HINT: Don’t forget to multiply by the given dielectric constant.)A parallel plate capacitor with a capacitance of 0.86 F with a has plate area A and are separated by a distance d. It is charged up to 11 V. The capacitor is now disconnected from the battery. If the area of the plates increases by a factor of 3 and the separation decreases by a factor of 10, find the new charge on the capacitor in Coulombs.
- ह s/enol b) 3.9 x 10 2) A A 3.3 cm diameter parallel plate capacitor has a Sant ni Muspiryगर Supods 7.0×10" "mo How much charge is on each plate DarCIXES (V - 10 01x22 01-01XSil (5 2.3.mm D) 2.7x10CAn air capacitor is made up of two parallel plates, each with an area of 10.7 cm^2 separated at a distance of 2.5 mm. A potential difference of 44 volts is applied to these plates. Calculate the surface charge density. answer nC/m^2 and two decimal places