Using the method of mesh currents, any resistance common to two meshes has:

The correct answer is option 1):(Two opposing mesh currents)

Concept:

• consider the resistance R , which is common to two meshes
•  Here, the direction of conventional current is used,
•  In the first loop, the current flow is considered from top to bottom,
• whereas in the second loop the current flows from bottom to top.
• The two mesh currents are opposed as in fig

Here the current through the resistor R₂ is (I₁ - I2)

Additional Information

•  Mesh current is the independent variable.
• Kirchhoff’s voltage law (KVL) is applied
• The system equations are framed using KVL
• In this method, the current flowing through a resistor in a specific direction defines the polarity of the voltage across the resistor and the sum of the voltage around a closed circuit must be equal to 0.