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Consider the diagram below. How might you calculate the effective capacitance of

ID: 2239985 • Letter: C

Question

Consider the diagram below. How might you calculate the effective capacitance of the parallel combination? Hints: If , what do you expect the effective area, to be? If , what do you expect the effective plate spacing to be? Explain your reasoning.

Wiring capacitors C1 and C2 in parallel: Consider the diagram below. How might you calculate the effective capacitance of the parallel combination? Hints: If A1= A2 = A, what do you expect the effective area, to be? If d1 = d2 = d, what do you expect the effective plate spacing to be? Explain your reasoning. Figure 2: Two capacitors with plate areas A1 =A2 = A and spacing d1 = d2 = d wired in parallel. Wiring capacitors C1 and C2 in series: Consider the diagram below. How might you calculate the effective capacitance of the series combination? Hints: If A1 =A2 =A, what do you expect the effective area to be? If d1=d2 = d, what do you expect the effective plate spacing to be? Figure 3: Two capacitors with plate areas A1 = A2 = A and spacing d1 = d2 = d wired in series. [Type your derivation here. Don't just write down the known equation for combining these capacitors] Based on the reasoning you just did for a simplified situation with identical capacitors, each configuration you considered should have suggested either 1/ceq = 1/c1 +1/c2 or ceq = c1 + c2 Which one of these expressions did you associate with the parallel combination? Which did you associate with the series combination?

Explanation / Answer

Think of them as opposite of a resistor. series is 1/c=1/c1+1/c2 and parallel is c=c1+c2