Use kirchhoff's rules to determine the value of current `I_(1)` flowing in the circuit

The value of current i_(1) flowing from A to C in the circuit diagram is :

The value of current i_(1) flowing from A to C in the circuit diagram is :

The value of current i_(1) in the given circuit is

Using Kirchhoff's rules determine the value of unknown resistance R in the circuit so that no current flows through 4 Omega resistance. Also find the potential difference between A and D.

Using Kirchoff's rules determine the value of unknown resistance R in the circuit so that no current flows through 4 Omega resistance. Also find the potential difference between A and D.

Using Kirchoff's rules determine the value of unknown resistance R in the circuit shown in figure, so that no current flows through 4 Omega resistance. Also find the potential difference between A and D.

Using Kirchoff's rules determine the value of unknown resistance R in the circuit so that no current flows through 4 Omega resistance. Also find the potential difference between A and D.

What is the value of the current I_(1) in the given circuit ?