Question Detail

MTH 102 PHY 102 Past Questions Objective Question

Question

A two farad and a four Farad capacitor are connected in series. What single capacitance is 'equivalent' to this combination?
Options
A 8 Farads
B 0.5 Farads
C 0.75 Farads
D 1.33 Farads
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

For capacitors connected in series, the equivalent capacitance (C_eq) is given by the formula: 1/C_eq = 1/C1 + 1/C2. Given C1 = 2 Farads and C2 = 4 Farads. 1/C_eq = 1/2 + 1/4 = 2/4 + 1/4 = 3/4. Therefore, C_eq = 4/3 = 1.33 Farads.

Hint

Remember the formula for equivalent capacitance in a series connection. It's the reciprocal of the sum of reciprocals of individual capacitances.

Question Info