Ch5+Capacitance - C APACITANCE A LI A LZAHRANI ...

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Unformatted text preview: C APACITANCE A LI A LZAHRANI  Capacitors are electric devices used for saving electric charge (energy) and enable us to use later.  Any capacitor consists of two plates with equal and opposite charges on each one.  The magnitude of charge kept in a capacitor is proportional to the voltage applied across the capacitor. That is ? = 𝐶? where 𝐶 is the capacitance . The SI unit of capacitance is Farad (F) which is (from the above equation) is Coulomb/Volt (C/V). Its symbol is C APACITANCE- C APACITORS  A parallel-plate capacitor: two parallel plates having equal and opposite charges with plate are 𝐴 and separation by a distance ? . Its capacitance is 𝐶 = 𝐴𝜀 ?  A cylindrical capacitor: two long coaxial cylinders of length 𝐿 and inner radius ¡ and outer radius ? . Its capacitance is 𝐶 = 2𝜋𝜀 𝐿 ln ? ¡ T YPES OF C APACITORS  A spherical capacitor: two concentric spheres inner radius ? and outer radius ? . Its capacitance is 𝐶 = 4𝜋𝜀 ?? ? − ?  An isolated spherical capacitor: for the previous capacitor, if ? → ∞ and ? = 𝑅 , we get an isolated spherical capacitor with capacitance 𝐶 = 4𝜋𝜀 𝑅 T YPES OF C APACITORS  If capacitors be connected in parallel, the voltage across each capacitor is the same as the total voltage, but the charge on each is different. The equivalent capacitance of a group of capacitors connected in parallel is 𝐶 𝑒? = 𝐶 𝑖 𝑛 𝑖¡1  If capacitors be connected in series, the charge on each capacitor is the same as the total charge, but the voltage across each is different. The equivalent capacitance of a group of capacitors connected in series is ¢ 𝐶 𝑒?...
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This note was uploaded on 02/18/2012 for the course PHYSICS 202 taught by Professor 1 during the Spring '12 term at King Abdulaziz University.

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Ch5+Capacitance - C APACITANCE A LI A LZAHRANI ...

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