A parallel-plate air capacitor is made by using two plates 18 cm square, spaced
ID: 2138829 • Letter: A
Question
A parallel-plate air capacitor is made by using two plates 18 cm square, spaced 3.3 mm apart. It is connected to a 6-V battery.
A parallel-plate air capacitor is made by using two plates 18 cm square, spaced 3.3 mm apart. It is connected to a 6-V battery. What is the capacitance? What is the charge on each plate? What is the electric field between the plates? What is the energy stored in the capacitor? If the battery is disconnected and then the plates are pulled apart to a separation of 6.6 mm, what are the answers to parts (a)-(d)? the last question (energy) is wrongExplanation / Answer
the area of the plates is A = 18 cm^2 = 18 x 10^-4 m^2
the separation between the plates is d = 3.3 mm = 3.3 x 10^-3 m
the battery voltage is V = 6 V
the capacitance is
C = (e_o x A/d)
where e_o = 8.85 x 10^-12 C^2/Nm^2
the charge on each plate is
q = C x V
the electric field between the plates is
E = (V/d)
the energy stored in the capacitor is
U = (1/2)C x V^2
when the separation between the plates is d1 = 6.6 mm = 6.6 x 10^-3 m then
the capacitance is
C1 = (e_o x A/d1)
the charge is
q1 = C1 x V
the electric field is
E1 = (V/d1)
the energy stored is
U1 = (1/2)C1 x V^2
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