Two parallel plates are charged with +Q and –Q respectively as shown in the figure, where Q = 29 nC. The area of each plate is A = 0.026 m2. The distance between them is d = 9.8 cm. The plates are in the air. a) With the information given, write the equation of the capacitance in terms of ε0, A, d. b) Solve for the numerical value of C in pF. c) With the information given, express the potential difference across the capacitor in terms of Q and C. d) Solve for the numerical value of ΔV in V.
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Two parallel plates are charged with +Q and –Q respectively as shown in the figure, where Q = 29 nC. The area of each plate is A = 0.026 m2. The distance between them is d = 9.8 cm. The plates are in the air.
a) With the information given, write the equation of the capacitance in terms of ε0, A, d.
b) Solve for the numerical value of C in pF.
c) With the information given, express the potential difference across the capacitor in terms of Q and C.
d) Solve for the numerical value of ΔV in V.
e) If the charges on the plates are increased to 2Q, what is the value of the capacitance C in pF?
f) If A is then increased to 2A, d is decreased to d/4, what is the value of the capacitance C in pF?
g) What is the new value of potential difference ΔV in V with the original charge Q, given the values for A and d from part (f)?
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