Question

Consider the circuit shown in the figure. The current I₃ is equal to ____________.

Options

• 5 A

• 3 A

• - 3 A

• - 5/6 A

Answer 1

Consider the circuit shown in the figure. The current I₃ is equal to - 5/6 A.

Explanation:

Suppose currents through different paths of the circuit are as follows,

After applying KVL for loop (1) and loop (2),

`28 "I"_1 = -6 -8 Rightarrow "I"_1 = -1/2 "A"`

`and 54"I"_2 = -6 -12 Rightarrow "I"_2 = -1/3 "A"`

`"Hence", "I"_3 = "I"_1 + "I"_2 = -5/6 "A"`