subject: Physics

solve the following questions ( handwritten solution only neatly and clean box final answer) thankyou!

General Physics 2 PROBLEM SET 4: CAPACITANCE AND DIELECTRICS INSTRUCTIONS Copy and answer the following problems neatly on a separate sheets of business pad paper. Show your complete solutions and box your final answer. 1. The plates of a parallel-plate capacitor are 2.50 mm apart, and each carries a charge of magnitude 80.0 nC. The plates are in vacuum. The electric field between the plates has a magnitude of 4.00 X 10 V/m. What is (a) the potential difference betweent the plates; (b) the area of each plate; (c) the capacitance? 2. A parallel-plate air capacitor of capacitance 245 pF has a charge of magnitude 0.147 uC on each plate. The plates are 0.328 mm apart. (a) What is the potential difference between the plates? (b) What is the area of each plate? (c) What is the electric-field magnitude between the plates? (d) What is the surface charge density on each plate? 5.0 uF 3. The figure shows a system of four capacitors, where the potential difference across ab is 10,048 90 uF 50.0 V. (a) Find the equivalent capacitance of this system between a and b. (b) How much \"._| I_'h charge is stored by this combination of capacitors? (c) How much charge is stored in each of the 10.0 uF and the 9.0 uF capacitors? 8.0 uF .5 nF 4. For the system of capacitors shown in the figure on the right, a potential difference of 25 V is maintained across ab. (a) What is the equivalent capacitance of thus system between a and b? (b) How much charge is stored by this system? (c) How much charge does the 6.5 nF capacitor store? (d) What is the potential difference across the 7.5 nF capacitor? 18.0 nF 30.0 oF 10.0 nF 6.5 nF 5. An air capacitor is made from two flat parallel plates 1.50 mm apart. The magnitude of charge on each plate is 0.0180 uC when the potential difference is 200 V. (a) What is the capacitance? (b) What is the area of each plate? (c) What maximum voltage can be applied without dielectric breakdown? (Dielectric breakdown for air occurs at an electric field strength of 3.0 x 10 V/m.) (d) When the charge is 0.0180 uC, what total energy is stored? 6. Two air-filled parallel-plate capacitors is capacitances C; and C; are connnected in parallel to a battery that has a voltage of 36.0V; C; = 4.00 uF and C, = 6.00 uF. (a) What is the total positive charge stored in the two capacitors? (b) While the capacitors remain connected to the battery, a dielectric with dielectric constant 5.00 is inserted between the plates of capacitor C;, completely filling the space between them. Then what is the total positive charge stored on the two cpacitors? Does the insertion of the dielectric cause the total charge stored to increase or decrease