A Potential Difference Of $V = 100 \mathrm {~V}$ Is Applied Across Two Capacitors in Series, as Shown in Applied

Multiple Choice

A potential difference of $V = 100 \mathrm {~V}$ is applied across two capacitors in series, as shown in the figure. If $C _ { 1 } = 10.0 \mu \mathrm { F }$ and the voltage drop across it is $75 \mathrm {~V}$ , what is the capacitance of $C _ { 2 }$ ?

A) $2.5 \mu \mathrm { F }$
B) $3.3 \mu \mathrm { F }$
C) $30 \mu \mathrm { F }$
D) $7.5 \mu \mathrm { F }$