Use the nodevoltage method to find the phasor voltage Vo in

Use the node-voltage method to find the phasor voltage V_o in the circuit shown in the figure when I_g = 6 + 6 jA.(Figure 1) Express the voltage in polar form. Enter your answer using polar notation. Express argument in degrees. Express the voltage in rectangular form. Express your answer in complex form.

Solution

apply nodal analysis at node vo

vo/(-j8)+(vo-2.4iq)/(j4)+vo/5=(6+j6)

vo(1/j4+1/5+1/(-j8))=(6+j6)+(2.4iq)/j4

from the circuit iq=vo/(-j8)

vo(1/j4+1/5+1/(-j8)+2.4/(j4*j8))=(6+j6)

vo[(5*j8+j4*j8-5*j4+2.4*5)/(j8*j4*5)]=(6+j6)

vo=[(6+j6)*j4*j8*5]/[5*j8+j4*j8-5*j4+2.4*5]

vo=48<90 volts

vo=(0+j48) volts.