Topic: Network Theory
What is the power loss in the 10 Ω resistor in the Network shown in figure?
- A. 15.31 W
- B. 15.13 W
- C. 12.3 W
- D. 13.2 W
Answer: B. 15.13 W
Explanation: Using mesh analysis:
$i_3=\frac{11(230-25)+3(-69-40)-8(15+80)}{(11 \times 205)-(3 \times 109)-(8 \times 95)}=\frac{1425}{1168}=1.22$ A
Power absorbed by 10 Ω resistor will be $P_{10\Omega}=i_3^2(10\Omega)=(1.22)^2 \times 10\text{ W}=14.88$ W. The nearest answer is option (b) 15.13 W.