Problem 1 In an experiment done at Brookhaven National Lab, alpha particles enter through a hole in the parallel plate that is 0.090 m apart from each other having an initial speed of 7.15 x 10+ m. Given that the electric field between the two plates is 170 N/C, find the speed of the alpha particle when it reaches the negative plate. [5 points]/nProblem 2 A thunderstorm warning was originally issued for parts of Maryland, including the Baltimore Harbor, due to a very high chance of creating a lightning storm, which is defined as a potential difference between a cloud and the ground. Consider that there is a potential difference of 1.5 GV between the ground and the cloud and that this lightning strike caused electrons to migrate and transfer a charge of -19C from the cloud to the earth, calculate: a. the amount of work done by the electric field. [3 points] b. the speed that can be attained by a removal truck of mass of 10000 kg if started from rest during this process. [4 points]/nProblem 3 In the PHYS206 lab at Morgan State University, a student recovered a square parallel plate capacitor with each side of length = a and the separation between the plates = d. The student also uncovered a circular parallel plate capacitor diameter a and separation d. Both are filled with the same dielectric material of dielectric constant k = 3.8. i. Determine which of the capacitors has the larger capacitance. Explain your answer. [3 points] ii. Given that the length of the square plates is 1.65 m, determine the k for the dielectric that must be inserted into the circular capacitor so that equal capacitance results for each capacitor. [4 points]/nProblem 4 From the given circuit, calculate the: i. Effective capacitance in the circuit [3 points] ii. The charge across each capacitor [3 points] iii. The voltage across each capacitor [2 points] 2μF 1μF 6μF 6μF 40 v/nProblem 5 A common device used for detecting ionized radiation is the Geiger counter which consists of a thin positively charged central wire surrounded by a concentric, circular conducting cylindrical shell with an equal negative charge. Ta ть The tube consists of a 27 mm diameter cylindrical metal tube sealed at the ends with a 1.5 mm diameter wire along the x-axis. The shell. Contains a low-pressure inert gas whose dielectric strength is 1.5MV/m. Determine the capacitance per unit length. [5 points] Problem 6/nProblem 6 The figure shows a parallel-plate capacitor with a slab of dielectric constant Ke inserted between the plates, filling the space between them. The capacitor is connected to a battery that produces a constant potential difference Vo between its plates. A. Calculate the amount of work W during the insertion of the slab process if qi is the charge on the capacitor plates before the slab is inserted. [4 points] B. Determine how much work is done by mechanical forces on the slab when it is inserted between the plates. Is this work done on, or by, the agent inserting the slab. [5 points]

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