Decide whether each of these statements is True (T) or False
For capacitors of 8 μF and 4 μF:
(i) When they are connected in series their combined capacitance is 12 μF.
(ii) When they are connected in parallel their combined capacitance is 2.7 μF.
A) (i) T (ii) T
B) (i) T (ii) F
C) (i) F (ii) T
D) (i) F (ii) F

Question

Quizplus · Accepted Answer

(i) False. When capacitors are connected in series, the reciprocal of the total capacitance is the sum of the reciprocals of the individual capacitances. The combined capacitance is not simply the sum (8 μF + 4 μF = 12 μF is incorrect). The correct formula is 1/C_total = 1/C1 + 1/C2, which does not yield 12 μF. (ii) False. When capacitors are connected in parallel, their capacitances do indeed add up, so the combined capacitance would be 8 μF + 4 μF = 12 μF, not 2.7 μF.

Decide Whether Each of These Statements Is True (T) or False