Finding current and voltage across resistors in a series-parallel circuit

  • Thread starter dumb__x
  • Start date
  • Tags Tags
    Electricity
7 replies · 3K views · last reply
dumb__x
Messages
11
Reaction score
0
[SOLVED] Electricity (probably easy

Homework Statement



In a circuit shown, the p.d. across the 4Ω resistor is 8 V.
a)What is the current through the 4Ω resistor?
b)What is the current through the 3Ω resistor?
c)What is the p.d. across the 3Ω resistor?
d)What is the p.d. applied by the battery?



Homework Equations


Ohms Law V=IR


The Attempt at a Solution



a)2A?
 
Attachments
  • Hand-drawn circuit schematic with two cells in series at the top, a 3Ω resistor and a 4Ω resistor in series on the bottom branch, and 8V marked across the 4Ω resistor.
    Electricity.jpg
    8.5 KB · Views: 444
Please show how you arrived at the solution. Since the attachment is pending approval from moderators, I can't see your circuit. A quicker way would be to upload the attachment to an online image hosting site like http://photobucket.com" and use the corresponding link in IMG tags while posting. Can you do that?
 
Last edited by a moderator:
Can you see it?
<a href="http://s262.photobucket.com/albums/ii120/reika_xx/?action=view&current=Electricity.jpg" target="_blank"><img src="http://i262.photobucket.com/albums/ii120/reika_xx/Electricity.jpg" border="0" alt="Electricity Circuit"></a>a)V=IR
8=I*4
I=2A
 
Last edited by a moderator:
sorry
http://s262.photobucket.com/albums/ii120/reika_xx/?action=view&current=Electricity.jpg
 
1
i. For the 4[itex]\Omega[/itex] resistor,
[tex] V = 8~NmC^{-1}[/tex]
[tex] R = 4~NmC^{-2}s^{-1}[/tex]

Hence,

[tex] I = \frac{V}{R} = \frac{8}{4} \frac{NmC^{-1}}{NmC^{-2}s^{-1}}[/tex]
[tex] I = 2~Cs^{-1} = 2~A[/tex]

ii. Current through the 3[itex]\Omega[/itex] resistor is the same as through the 4[itex]\Omega[/itex] resistor as both of them are in series.

iii. For the 3[itex]\Omega[/itex] resistor:

[tex] I = 2~Cs^{-1}[/tex]
[tex] R = 3~NmC^{-2}s^{-1}[/tex]

Hence,

[tex] V~=~IR = 2 \times 3~Cs^{-1}.NmC^{-2}s^{-1}[/tex]
[tex] V = 6~NmC^{-1} = 6~V[/tex]

iv. Do you mean the potential difference across the terminals of the battery? If that is the case, you can solve it using Kirchhoff's law. Refer to the figure in the attachment.

Hence,

[tex] \epsilon + 2(4)~NmC^{-1} + 2(3)~NmC^{-1} = 0[/tex]
[tex] |\epsilon| = 14~NmC^{-1} = 14~V[/tex]

So, the battery provides and e.m.f of 14V. [In case you can't see the attachment, go here: http://image.bayimg.com/iajbbaaba.jpg ]
 
Attachments
  • Circuit schematic of a battery at the top connected to a loop containing a 3Ω resistor and a 4Ω resistor in series, with a circular arrow in the middle indicating clockwise current.
    circuit1.jpg
    2 KB · Views: 369
Last edited by a moderator:
I=U/R=8V/4om=2A
I=8V/3om=8/3 A

This questions I don't understand
"c)What is the p.d. across the 3Ω resistor?
d)What is the p.d. applied by the battery?"

"sorry
http://s262.photobucket.com/albums/i...lectricity.jpg"
I=8V/(4om+3om)=8/7 A.
If electricity is ~, then (8/7)A/2=8/14 A, becouse of diod.
 
Last edited by a moderator:
@fermio: I am not able what you are trying to say due to poor formatting. Please repost with proper formatting and punctuation.