At steady state, the potential difference between points C and D in the circuit shown is equal to ________ V.

Answer

36

Explanation

`I=(120V)/(3Omega+6Omega+1Omega)=12A,V_(AB)=120-12xx1=108V, V_(AD)=6xx12=72V`
`C_(e f f)=(C_(1)C_(2))/(C_(1)+C_(2))=(1xx2)/(1+2)=(2)/(3)muF=(2)/(3)muF=(2)/(3)xx10^(-6)F, Q=V_(AB)xxC_(e f f)=108xx(2)/(3)xx10^(-6)=72xx10^(-6)C`
`V_(AC)=(Q)/(C_(2))=(72xx10^(-6))/(2xx10^(-6))=36V, V_(CD)=V_(AD)-V_(AC)=72-36=36V`.