QuestionJuly 24, 2025

What is the capacitance of three 100 microfarad capacitors connected in series? .30 microfarads 33.3 microfarads .33 microfarads 300 microfarads

What is the capacitance of three 100 microfarad capacitors connected in series? .30 microfarads 33.3 microfarads .33 microfarads 300 microfarads
What is the capacitance of three 100 microfarad capacitors connected in series? .30 microfarads 33.3 microfarads .33 microfarads 300 microfarads

Solution
4.2(150 votes)

Answer

33.3 microfarads Explanation 1. Identify the formula for capacitors in series The formula for total capacitance C_{\text{total}} in series is **\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}**. 2. Substitute values into the formula Given C_1 = C_2 = C_3 = 100 \, \mu F, substitute into the formula: \frac{1}{C_{\text{total}}} = \frac{1}{100} + \frac{1}{100} + \frac{1}{100}. 3. Calculate the total capacitance Simplify: \frac{1}{C_{\text{total}}} = \frac{3}{100}. Therefore, C_{\text{total}} = \frac{100}{3} \approx 33.3 \, \mu F.

Explanation

1. Identify the formula for capacitors in series<br /> The formula for total capacitance $C_{\text{total}}$ in series is **$\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$**.<br /><br />2. Substitute values into the formula<br /> Given $C_1 = C_2 = C_3 = 100 \, \mu F$, substitute into the formula: $\frac{1}{C_{\text{total}}} = \frac{1}{100} + \frac{1}{100} + \frac{1}{100}$.<br /><br />3. Calculate the total capacitance<br /> Simplify: $\frac{1}{C_{\text{total}}} = \frac{3}{100}$. Therefore, $C_{\text{total}} = \frac{100}{3} \approx 33.3 \, \mu F$.
Click to rate:

Similar Questions