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Download 1 For the capacitor network shown, the potential difference across
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1 For the capacitor network shown, the potential difference across ab is 12.0 V. Find (a) the total Energy stored in this network and (b) the energy stored in the 4.80 F capacitor. 2 A 4.00 F capacitor and a 6.00 F capacitor are connected in parallel across a 660 V supply line. (a) Find the charge on each capacitor and the voltage across each. (b) The charged capacitors are disconnected from the line and from each other and are then reconnected to each other with terminals of unlike sign. Find the final charge on each capacitor and the voltage across it. 3 A 450 F capacitor is charged to 295 V. Then a wire is connected between the plates. How many joules of thermal energy are produced as the capacitor discharges if all of the energy that was stored goes into heating the wire? 4 At a certain distance from a point charge, the potential and electric-field magnitude due to that charge are 4.98 V and 12.0 V/m, respectively. (Take the potential to be zero at infinity.) (a) What is the distance to the point charge? (b) What is the magnitude of the charge? (c) Is the electric field directed toward or away from the point charge? 5 A parallel-plate capacitor C is charged up to a potential V0 with a charge of magnitude Q0 on each plate. It is then disconnected from the battery, and the plates are pulled apart to twice their original separation. (a) What is the new capacitance in terms of C? (b) How much charge is now on the plates in terms of Q0? (c) What is the potential difference across the plates in terms of V0? 6 Two protons are released from rest when they are 0.750 nm apart. (a) What is the maximum speed they will reach? When does this speed occur? (b) What is the maximum acceleration they will achieve? When does this acceleration occur? 7 Two large metal parallel plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. (a) What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? (b) What is the magnitude of the force this field exerts on a particle with charge 2.40 nC?