Question
You are provided with three capacitors with capacitance 4F, 3F, 2F, respectively.
What is the maximum capacitance which can be obtained by connecting the three capacitors? [3marks]
What is the maximum capacitance which can be obtained by connecting the three capacitors? [3marks]
Answers
GPT-4o mini
To obtain the maximum capacitance, we should connect the capacitors in **parallel**. When capacitors are connected in parallel, the total capacitance \( C_{total} \) is the sum of the individual capacitances:
\[
C_{total} = C_1 + C_2 + C_3
\]
Given the capacitances:
- \( C_1 = 4F \)
- \( C_2 = 3F \)
- \( C_3 = 2F \)
Now, we can calculate the total capacitance:
\[
C_{total} = 4F + 3F + 2F = 9F
\]
Thus, the maximum capacitance that can be obtained by connecting the three capacitors is **9 Farads**.
\[
C_{total} = C_1 + C_2 + C_3
\]
Given the capacitances:
- \( C_1 = 4F \)
- \( C_2 = 3F \)
- \( C_3 = 2F \)
Now, we can calculate the total capacitance:
\[
C_{total} = 4F + 3F + 2F = 9F
\]
Thus, the maximum capacitance that can be obtained by connecting the three capacitors is **9 Farads**.