3. The potential difference across the plates of a parallel-plate capacitor is decreased from 120 V to 75 V when a dielectric material is placed between its plates. What is the value of the dielectric constant? [Ans: 1.6]
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- (II) An electron starting from rest acquires 4.8 keV of KEin moving from point A to point B. (a) How much KE woulda proton acquire, starting from rest at B and moving topoint A? (b) Determine the ratio of their speeds at the endof their respective trajectories.A parallel-plate capacitor filled with air hasplates of area 0.0066 m2 and a separation of 0.45 mm. (a) Find themagnitude of the charge on each plate when the capacitor is connected to a 12-V battery. (b) Will your answer to part (a) increase,decrease, or stay the same if the separation between the plates isincreased? Explain. (c) Calculate the magnitude of the charge onthe plates if the separation is 0.90 mmA capacitor consists of two plates that are close together but not touching each other. Each plate has an area of 550 cm2 and the plates are separated by a distance of 0.90 cm air gap. Assume that the capacitor is connected across to a 500 V source. i. How much charge is stored on each of the plate? ii. How much energy is stored in the capacitor?
- 1.Based on the mathematical equation for the potential difference across a charging capacitoras a function of time, how long does it take a capacitor to become fully charged? Why?2. From a practical point of view, how many time constants are required for a capacitor tobecome fully discharged (i.e. more than 99% of the charge lost)? Why?Solve the ff: a. Two alpha particles (helium nuclei), each containing oftwo protons and two neutrons, have an electricalpotential energy of 6.32 x 10 -19 J. What is the distancebetween these particles at this time?b. Two charges are located along the x-axis. One has acharge of 6.4 µC, and the second has a charge of -3.4 µC.if the electrical potential energy associated with the pairof charges is -3.8 x 10 -2 J, what is the distance betweenthe charges?c. A charge moves 2.0 cm in the direction of a uniformelectric field having a magnitude of 220 N/C. the electricpotential energy of the charge decreases by 6.9 x 10 -19J as it moves. Find the magnitude of the charge on themoving particle. (Hint: the electrical potential energydepends on the distance moved in the direction of thefield)Solve the following.1. How much energy does a 5.5-V AAA battery have that can move 125 C?2. What is the strength of the electric field between two parallel conducting plates separated by 1.00 cm and having a potential difference (voltage) between them of 1.50 × 104 V?3. What are the sign and magnitude of a point charge (Q) that produces a potential of −2.00 V at a distance of 1.00 mm?4. If the potential due to a point charge is 5.00 × 102 V at a distance of 15.0 m, what are the sign and magnitude of the charge (Q)?
- 1. How was the spontaneous potential discovered? why is it an electrical phenomenon?First part of the question: Two identical capacitors are connected in parallel and charged with a 20-V power supply as shown in the figure on the left. After the charges on the capacitors have reached their final values, the charge on each capacitor is 10 uC. Then the power supply is disconnected and a dielectric with K = 4 is inserted to fill the space !3D between the plates of one of the capacitors, a) Find now the charge on the capacitor with dielectric. Give your answer in microcoulombs.Calculate the value of electrical potential needed to accelerate a hydrogen and helium ions to the velocity 2000m/s.
- The diagram below depicts a cross section of coaxial conductor with an inner wire of diameter di and an outer conducting sheath of inside diameter do, and some material placed in the space between the two wires. Suppose that you have a coaxial wire with di=1.3 mm and do=7.55 mm, and we put mylar (κ=3.1) in the space between the two wires. If there is a potential of 1 kV between the wires, how much energy is stored in a 10 m piece of cable? For my answer I got 5.32 J which was wrong.3. If a proton and an electron are released when they are 2.0 * 10^10 m apart (a typical atomicdistance), find the initial acceleration of each particle. please explain me asap pleaseA certain capacitor has a capacitance of 4μF when itsplates are separated by 0.2 mm of vacant space. Abattery is used to charge the plate to a potentialdifference of 500 V and is then disconnected from thesystem. (a) What will be the potential differnce acrossthe plates if a sheet of mica 0.2 mm thick is insertedbetween the plates? (b) What will the capacitance beafter the dielectric is inserted? (c) What is hepermittivity of mica?