Question Detail
Question
A two Farad and a four Farad capacitor are connected in series. What single capacitance is "equivalent" to this combination?
Correct Answer
Option D is the correct answer.
Detailed Explanation
For capacitors connected in series, the reciprocal of the equivalent capacitance (C_eq) is the sum of the reciprocals of individual capacitances. The formula is: 1/C_eq = 1/C1 + 1/C2.Given C1 = 2 F and C2 = 4 F:1/C_eq = 1/2 + 1/4 = 2/4 + 1/4 = 3/4Therefore, C_eq = 4/3 F ≈ 1.33 Farads.
Hint
Remember the formula for equivalent capacitance when capacitors are in series. It's similar to resistors in parallel.