The Network Shown Is Assembled with Uncharged Capacitors X

Multiple Choice

The network shown is assembled with uncharged capacitors X , Y, and Z, with C_X = 4.0 μF, C_Y = 6.0 μF, and C_Z = 5.0 μF. The switches S₁ and S₂ are initially open, and a potential difference V_ab = 120 V is applied between points a and b. After the network is assembled, switch S₁ is then closed, but switch S₂ is kept open. What is the final potential difference across capacitor X?

A) 120 V
B) 82 V
C) 75 V
D) 67 V
E) 60 V