Two identical capacitors are connected in series and two, each identical to the first, are connected in parallel.The equivalent capacitance of the series connection is ________ the equivalent capacitance of parallel connection.
A)twice
B)four times
C)half
D)one fourth
E)the same as

Question

Quizplus · Accepted Answer

When capacitors are connected in series, the equivalent capacitance is less than that of a single capacitor and is given by the reciprocal formula: 1/C_eq_series = 1/C + 1/C = 1/(C/2). For parallel capacitors, the equivalent capacitance is the sum: C_eq_parallel = C + C = 2C. Therefore, the series capacitance is one fourth of the parallel capacitance.

Two Identical Capacitors Are Connected in Series and Two, Each