Define capacitance. List equations of parallel plate capacitance, charge stored in capacitor, and energy stored in capacitor. Explain all information.
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It is a property of the geometry and the dielectric environment, and it relates charge Q to voltage V via Q = C V. Show more…
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1. What is a capacitor? 2. Enumerate and discuss the different types of capacitors. 3. Define capacitance. 4. List down the factors that affect the capacitance of a parallel plate capacitor. 5. Draw and discuss the combination of capacitors. 6. Explain the energy stored in a capacitor.
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(a) Write down the equation for the capacitance of a parallel plate capacitor with dielectric material inside. Identify the meaning of each symbol in the equation. (b) A parallel plate capacitor has plates with dimensions 1.00 cm x 40.0 cm. The separation between plates is 0.200 m. If the capacitor filled with Mica with dielectric constant of 7.00, calculate the capacitance. (c) If the plates were connected to 12.0 V battery, calculate the magnitude of the charge on a plate. (d) Calculate the total energy stored in the capacitor when connected to 12.0 V battery. (e) If you increase the voltage between the capacitor what would happen to the following quantities. Capacitance - Reason: Energy stored - Reason:
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OUTCOME - Tutorial questions: Determine the capacitance of a capacitor consisting of two parallel metal plates 30 cm x 30 cm in surface area separated by 5 mm in air. What is the total energy stored by the capacitor if the capacitor is charged to a potential difference of 500 V? What is the value of energy density? Ans: C = 15.9 nC, W = 1.98 x 10^6 J/m^3. Find the total capacitance using electric field concepts for the given figure Q2e in which the separation between adjacent two plates is d and the dielectric constants are K1, K2, K3, and K4, and the surface area of each plate is A. Find the total capacitance using electric field concepts for the Figure B6 in which the dielectric material consists of two layers. The thickness of each layer is 4, the surface area of each plate is A, and the dielectric constants are K1 and K2. Find the expression of the continuity equation for a conductor. Derive the formula for the resistance of a conductor using EMF concepts. Find the total capacitance using electric field concepts for the Figure B4 in which the dielectric material consists of two layers. The thickness of each layer is d, the surface area of each plate is A/2, and the dielectric constants are K1 and K2.
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