Products
Rewards
from HOLOOLY

We are determined to provide the latest solutions related to all subjects FREE of charge!

Enjoy Limited offers, deals & Discounts by signing up to Holooly Rewards Program

HOLOOLY

HOLOOLY
TABLES

All the data tables that you may search for.

HOLOOLY
ARABIA

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

HOLOOLY
TEXTBOOKS

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

HOLOOLY
HELP DESK

Need Help? We got you covered.

## Q. 1.13

Consider the following circuit involving a voltage source and a current source connected to four different resistors.Find the value of $v_{x}$ , that is, the voltage across the 2 Ω resistor.

## Verified Solution

As in the previous examples, we label the nodes, define the directions of the currents, and define the voltages in accordance with the sign convention.

In order to simplify the solution, we again do not define voltage variables separately and
write all equations in terms of currents.ApplyingKVL andKCL consecutively,we obtain
• KVL(2 → 4 → 2): $4i_{y} − 1i_{w} = 0 \longrightarrow i_{w} = 4i_{y}$,
• KCL(4):$i_{y} + i_{w} − i_{z} = 0\longrightarrow i_{z} = 5i_{y}$,

• KCL(3): $i_{z} − i_{x} − 2 = 0\longrightarrow i_{x} = 5iy − 2$,
• KVL(1 → 2 → 4 → 3 → 1): $2i_{x} + 4i_{y} + 6iz − 20 = 0 \longrightarrow i_{y}$ = 6∕11A.
Finally, we have  $i_{x} = 30∕11 − 2 = 8∕11A and v_{x}$ = 16∕11V.