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A 15F Capacitor is connected to a 50-V battery andbecomes fully charged. The bat

ID: 1737209 • Letter: A

Question

A 15F Capacitor is connected to a 50-V battery andbecomes fully charged. The battery is removed and a slab ofdielectric that completely fills the space between the plates isinserted. If the dielectric has a constant of 5.0, a. What is the capacitance of the capacitor after the slab isinserted? b. What is the voltage across the capacitor's plates after theslab is inserted? A 15F Capacitor is connected to a 50-V battery andbecomes fully charged. The battery is removed and a slab ofdielectric that completely fills the space between the plates isinserted. If the dielectric has a constant of 5.0, a. What is the capacitance of the capacitor after the slab isinserted? b. What is the voltage across the capacitor's plates after theslab is inserted?

Explanation / Answer

             Given tha the capacitance of the given capacitor is C0 =15F = 15*10-6 F              The voltage in the battery is V = 50 V               The dielectric constant is K = 5.0 ------------------------------------------------------------------------         Let C is thecapacitance of the capacitor with dielectric constantthen                                C = KC0                                     =5.0* 15*10-6 F                                     =75*10-6 F           The charge onthe capacitor is q = C0*V                                                          =-------------- Columbs             The voltage accross the capacitor is V = q /C                                                                      = ------------ V                                              =5.0* 15*10-6 F                                     =75*10-6 F           The charge onthe capacitor is q = C0*V                                                          =-------------- Columbs             The voltage accross the capacitor is V = q /C                                                                      = ------------ V                    
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