Question

Find the currents through the three resistors shown in the figure.

Answer 1

From the figure, we can see that current will flow only in loop 1 because current follows the least resistive path. All the current will pass through the wire connected in parallel to the 4 Ω resistor in loop 2.

∴ There will be no current through the 4 Ω resistor in loop 2.

For loop1, applying KVL, we get:-

\[6i + 4i - 4 + 2 = 0\]

\[ \Rightarrow 10i = 2\]

\[ \Rightarrow i = 0 . 2 A\]

∴ The current through the 4 Ω and 6 Ω resistors, i = 0.2 A