Chapter 25, Problem 14P

You are working at an electronics fabrication shop. Your current project is on the team producing capacitors for the timer circuit that delays the closing of an elevator door. According to its design specification, the timer circuit is to have a capacitance of 32.0 μF between two points A and B. As sour capacitors come off the assembly line, you find that they have a variation of ±5.00% from this value. After a team meeting to evaluate this situation, the team decides that capacitances in the range 32.0 ± 0.5 μF are acceptable and do not need modification. For capacitances outside this range, the director does not wish to discard the capacitors, but rather to add extra capacitors in series or parallel with the main capacitor to bring the total equivalent capacitance to the exact design value of 32.0 μF. You are put in charge of procuring the extra capacitors. What range of capacitances for these extra capacitors do you need to cover the entire range of variation of ±5.00%? All capacitances can be measured to three significant figures.