A control circuit contains a resistor in series with a capacitor

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

A control circuit contains a 47 kΩ47\,k\Omega resistor in series with a capacitor. The circuit must reach at least 80%80\% of its final charge within 10 ms10\,\text{ms}. Which capacitor is the smallest value that satisfies the specification? (a) 0.10 μF0.10\,\mu\text{F} (b) 0.22 μF0.22\,\mu\text{F} (c) 0.05 μF0.05\,\mu\text{F} (d) 0.47 μF0.47\,\mu\text{F}

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