Three Capacitors Are Arranged as Shown in the Figure, with a Voltage

Multiple Choice

Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. $C _ { 1 }$ has a capacitance of $9.0 \mathrm { pF } , C _ { 2 }$ has a capacitance of $18.0 \mathrm { pF }$ , and $C _ { 3 }$ has a capacitance of $27.0 \mathrm { pF }$ . Find the potential drop across the entire arrangement if the potential drop across $C _ { 2 }$ is $257.0 \mathrm {~V}$ .

A) $430 \mathrm {~V}$
B) $1000 \mathrm {~V}$
C) $1500 \mathrm {~V}$
D) $470 \mathrm {~V}$