Step 1:

Use Superposition principle to calculate volatge across A and B.

Super Position Theorem :

Take one current source at a time and replace all other with voltage with short or internal resistance and current sources with open.

The current flowing in the circuit is .

 in polar form can be written as .

 in complex form can be written as .

Apply current divider rule: .

Find the total impdenace .

is in series with .

is in series with .

is in parallel to

is in series with , and

Current divider rule:

Find the voltage drop across the impedance .

 V.

Step 2:

Take one voltage source at a time and eplace all other with voltage with short or internal resistance and current sources with open.

The voltage in the circuit is

 in polar form can be written as .

in complex form can be written as .

Apply KVL to loop 1:

Find the voltage drop across the impedance .

 V.

Step 3:

By superposition principle : 

The Voltage acoss the resistor is .

Voltage acoss the resistor is 

Solution:

Voltage acoss the resistor is