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A parallel-plate capacitor has plates of area3.56×10 4 m^2. What plate separatio

ID: 1665509 • Letter: A

Question

A parallel-plate capacitor has plates of area3.56×104 m^2. What plate separation is required if the capacitance is to be1590pF? Assume space between the plates is filled withair. -What plate separation is required if the capacitance isto be 1590pF? Assume space between the plates is filled withpaper. A parallel-plate capacitor has plates of area3.56×104 m^2. What plate separation is required if the capacitance is to be1590pF? Assume space between the plates is filled withair. -What plate separation is required if the capacitance isto be 1590pF? Assume space between the plates is filled withpaper.

Explanation / Answer

A parallel plate capacitor has Area A =3.56*10-4 m2          Capacitance of a capacitor is C = 1590 pF a ) space between the plates is filled withair the dielectric constant is k = 1.00059                             Capacitance of a capacitor is C = k 0 A /d                                                     d = k 0 A / C                                                         = 1.00059 * 8.85*10-12 * 3.56*10-4m2 / 1590 * 10 -12 F                                                        = 1.9*10-6m b ) space between the plates is filledwith paper the dielectric constant is k = 3.7                             Capacitance of a capacitor is C = k 0 A /d                                                     d = k 0 A / C                                                         = 3.7 * 8.85*10-12 * 3.56*10-4m2 / 1590 * 10 -12 F                                                        = 7.3*10-6m                             Capacitance of a capacitor is C = k 0 A /d                                                     d = k 0 A / C                                                         = 3.7 * 8.85*10-12 * 3.56*10-4m2 / 1590 * 10 -12 F                                                        = 7.3*10-6m