Question

A 3.0 μf capacitor, a 13 μf capacitor, and a 17 μf capacitor are connected in parallel. What is the total capacitance of the combination?

1) 33 μf
2) 33.0 μf
3) 33.00 μf
4) Cannot be determined without additional information

Answer 1

In a parallel circuit, the total capacitance is the sum of individual capacitances. For capacitors with values of 3.0 μF, 13 μF, and 17 μF, the total capacitance is 33 μF. This follows the principle that in parallel, capacitances add directly. Therefore, the correct answer is 33 μF.

Step-by-step explanation:

This pertains to the total capacitance of a combination of three capacitors when connected in parallel. To find the total capacitance in a parallel circuit, we simply add the capacitances of the individual capacitors. In this specific case: Total Capacitance = 3.0 μF + 13 μF + 17 μF = 33 μF. Therefore, the correct answer is option 1) 33 μF, since additional decimal places are not necessary when adding whole numbers and numbers with fewer decimal places. This clarifies the concept of combining capacitances in a parallel configuration and affirms that additional decimal places are unnecessary for whole numbers and those with fewer decimal places.