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A parallel-plate capacitor with plate area3.8 cm and air-gap separation 0.25 mm

ID: 1763466 • Letter: A

Question

A parallel-plate capacitor with plate area3.8 cm and air-gap separation 0.25 mm is connected to a36 V battery, and fully charged. The battery is thendisconnected.   What is the charge on the capacitor? Q= The plates are now pulled to a separation of0.45 mm. What is the charge on the capacitor now? A parallel-plate capacitor with plate area3.8 cm and air-gap separation 0.25 mm is connected to a36 V battery, and fully charged. The battery is thendisconnected.   What is the charge on the capacitor? Q= The plates are now pulled to a separation of0.45 mm. What is the charge on the capacitor now? A parallel-plate capacitor with plate area3.8 cm and air-gap separation 0.25 mm is connected to a36 V battery, and fully charged. The battery is thendisconnected.   What is the charge on the capacitor? Q= The plates are now pulled to a separation of0.45 mm. What is the charge on the capacitor now? What is the charge on the capacitor? Q= The plates are now pulled to a separation of0.45 mm. What is the charge on the capacitor now?

Explanation / Answer

Capacitance C = A / d                        = [ 8.85 * 10 ^ -12 C ^ 2 / N m ^ 2 * 3.8 * 10 ^ -4 m ^ 2 ] /0.25*10^-3 m                       = 134.52 * 10 ^ -13 F voltage V = 36 V So, charge Q = CV                      = 4.842 * 10 ^ -10 Coulombs (b). Capacitance C = A / d                        = [ 8.85 * 10 ^ -12 C ^ 2 / N m ^ 2 * 3.8 * 10 ^ -4 m ^ 2 ] /0.45*10^-3 m                       = 74.73 * 10 ^ -13 F voltage V = 36 V So, charge Q = CV                      = 2.69* 10 ^ -10 Coulombs Capacitance C = A / d                        = [ 8.85 * 10 ^ -12 C ^ 2 / N m ^ 2 * 3.8 * 10 ^ -4 m ^ 2 ] /0.45*10^-3 m                       = 74.73 * 10 ^ -13 F voltage V = 36 V So, charge Q = CV                      = 2.69* 10 ^ -10 Coulombs
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