Physics

Problem

A laboratory timer circuit uses a

25\,k\Omega

resistor in series with a

4.7\,\mu\text{F}

capacitor. Engineers find the circuit takes longer than desired to reach 63\% of its final charge. Which of the following component substitutions would most effectively reduce that charging time while leaving all other parts unchanged? a) Connect a second

4.7\,\mu\text{F}

capacitor in parallel with the existing one b) Increase the battery voltage from

6\,\text{V}

9\,\text{V}

c) Replace the

4.7\,\mu\text{F}

capacitor with a

2.2\,\mu\text{F}

capacitor d) Replace the

25\,k\Omega

resistor with a

47\,k\Omega

resistor

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