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.0. 2. a) (5 points) Imagine, you are building a flat plate capacitor. Use rectangular plates with sides 5 cm and 10 cm long, and

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.0. 2. a) (5 points) Imagine, you are building a flat plate capacitor. Use rectangular plates with sides 5 cm and 10 cm long, and separate the plates by 5 mm. Calculate the capacitance of this devise. b) (5 points) Calculate the amount of charge stored on this device if it was charged up using 20V battery. c) (5 points) Calculate the E-field between the plates and the charge density on the plates. d) (5 points) Now, you need to increase the capacitance of your capacitor by the factor of 3 without changing the size of the plates or changing the separation. Start with an empty device that is not connected to the battery. What will you do? Describe in detail. e) (5 points) Once you have performed the step from part (d), what will be the magnitude of the new E-field between the plates. f) (10 points) The diagram below shows 10 identical capacitors, like the ones from part (d). Find the total capacitance of the circuit below. ' Illl llll a ' llll Illl a g) (10 points) What is the charge on each individual capacitor if the circuit above got charged up by a 20 V battery ? h) (5 points) How much energy each one of the capacitors from part (9) will store 7

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