Question

In the given circuit, the values of $ I_1, I_2, I_3 $ are respectively:

• A. \( 1.364\, \text{A},\ 6.278\, \text{A},\ 5.91\, \text{A} \)
• B. \( 1.97\, \text{A},\ 3.56\, \text{A},\ 2.784\, \text{A} \)
• C. \( -0.327\, \text{A},\ 5.28\, \text{A},\ 3.197\, \text{A} \)
• D. \( 1.523\, \text{A},\ 4.396\, \text{A},\ 1.63\, \text{A} \)

Hint:

Use Kirchhoff’s laws (KVL & KCL) for solving multiple-loop current networks involving EMFs and resistors.

Answer 1

The Correct Option is A

Apply Kirchhoff’s laws to solve this mixed-resistor bridge circuit:
- Use KVL in two loops and KCL at a node to set up equations.
- Solve simultaneously using substitution or matrix method.
The detailed system solution yields: \[ I_1 = 1.364\, \text{A},\quad I_2 = 6.278\, \text{A},\quad I_3 = 5.91\, \text{A} \]