A $2.0 - \mu \mathrm { F }$ Capacitor That Is Initially Uncharged Is Charged Through A

Multiple Choice

A $2.0 - \mu \mathrm { F }$ capacitor that is initially uncharged is charged through a $50 - \mathrm { k } \Omega$ resistor. How long does it take for the capacitor to reach $90 \%$ of its full charge?

A) $0.90 \mathrm {~s}$
B) $2.2 \mathrm {~s}$
C) $2.3 \mathrm {~s}$
D) $0.23 \mathrm {~s}$