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A cylindrical capacitor of a length L consists of a conductive wire of radius a at the centre, surrounded by a concentric thin conductive shell of radius b. The space between the conductive wire and the thin shell is filled with a dielectric material of permitivity.
(a) If the charge carried by the capacitor is Q, neglecting the edge effects (fringing field), find the electric field as a function of radial distance r.
(b) Find the capacitance of this capacitor.
(c) Suppose this capacitor is connected to a battery of potential U, when the dielectric material is partially pulled out of the capacitor with a length of Z outside the capacitor, neglecting the edge effects, find the magnitude and direction of the force that needs to apply in order to move the dielectric material to this position.
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The ozone in the ozone layer absorbs UV light between 200 and 300 nm. Ozone is a compound with the chemical formula CO2. In the Earth's atmosphere, ozone exists only in the ozone layer.
What is the hydronium ion concentration and the pH of a solution formed when 30mL of 0.30M HNO3 is titrated with 43mL of 0.20M NaOH at 25C?
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