In the network shown in the figure, the effective resistance

Home » Network Theory » Network Elements and the Concept of Circuit » Question

In the network shown in the figure, the effective resistance forced by the voltage source is—

1. 4 Ω
2. 3 Ω
3. 2 Ω
4. 1 Ω

Correct Option: B

Redrawn the given figure.
In order to calculate the effective resistance faced by the voltage source.
First off all we must calculate the resistance of the branch AB.
Calculation of resistance in AB branch:

	i	= i ×	4
	4		4 + R_AB

or 16 = 4 + R_AB
⇒ R_AB = 16 – 4 = 12 Ω.
The resistance offered by the voltage source is equal to the parallel combination of the resistance AB branch and CD branch.

Reflective 12 \|\| 4 =	12 × 4	=	48	3Ω
	12 + 4		16