Exercise
https://texercises.raemilab.ch/exercise/currents-and-voltages-in-a-circuit/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Determine the missing currents I_ I_ and I_ the potentials at the labelled pos B C and E and the voltages across the three light bulbs in the circuit below. center includegraphicswidth.mm#image_path:currents-voltages-# center

Solution:
The current before and after a light bulb has to be the same so I_Ib. With Kirchhoff's junction rule for junction B we find that I_ I - Ib IaP For the current I_ we can either add the two currents entering junction D or use the fact that the total current leaving the battery has to be the same as the current returning to the battery i.e. I_ I. vspacemm For an ideal wire the potential at B is the same as the potential at A: V_BVA. The potential at C is DVxO lower than at B so V_C VCP. The potential at E is DVO lower than at A so V_E VEP. vspacemm The voltages across the light bulbs can be calculated as the differences between the potentials before and after the light bulbs: Delta V_ DVaF VCP-VD DVaP Delta V_ DVbF VBP-VD DVbP Delta V_ DVcF VD-VEP DVcP
Report An Error
You are on texercises.raemilab.ch.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
Determine the missing currents I_ I_ and I_ the potentials at the labelled pos B C and E and the voltages across the three light bulbs in the circuit below. center includegraphicswidth.mm#image_path:currents-voltages-# center

Solution:
The current before and after a light bulb has to be the same so I_Ib. With Kirchhoff's junction rule for junction B we find that I_ I - Ib IaP For the current I_ we can either add the two currents entering junction D or use the fact that the total current leaving the battery has to be the same as the current returning to the battery i.e. I_ I. vspacemm For an ideal wire the potential at B is the same as the potential at A: V_BVA. The potential at C is DVxO lower than at B so V_C VCP. The potential at E is DVO lower than at A so V_E VEP. vspacemm The voltages across the light bulbs can be calculated as the differences between the potentials before and after the light bulbs: Delta V_ DVaF VCP-VD DVaP Delta V_ DVbF VBP-VD DVbP Delta V_ DVcF VD-VEP DVcP
Contained in these collections:

Attributes & Decorations
Branches
Circuits
Tags
current, dc circuit, voltage
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration