If two capacitors of capacitance C1 and C2 are connected in series, what is the

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Question: If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?

Options:

Correct Answer: 1 / (1/C1 + 1/C2)

Solution:

The equivalent capacitance C_eq of capacitors in series is given by 1 / C_eq = 1 / C1 + 1 / C2.

If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?

If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?

Step 1: Understand that capacitors in series means they are connected end to end, so the total voltage across them is the sum of the individual voltages.
Step 2: Recall the formula for equivalent capacitance in series: 1 / C_eq = 1 / C1 + 1 / C2.
Step 3: To find C_eq, first calculate 1 / C1 and 1 / C2 separately.
Step 4: Add the two results from Step 3 together to get the total: 1 / C_eq = (1 / C1) + (1 / C2).
Step 5: Take the reciprocal of the total from Step 4 to find C_eq: C_eq = 1 / ((1 / C1) + (1 / C2)).

Capacitance in Series – When capacitors are connected in series, the total or equivalent capacitance is less than the smallest individual capacitor's capacitance.