How to Find the Current in a 6 Ohm Resistor?

AI Thread Summary
To find the current in a 6 Ohm resistor, first determine the equivalent resistance of the circuit, which is calculated to be 3.2 Ohms. The voltage across this equivalent resistance is 32 volts, leading to a current of 8 A through the right branch. The voltage across the 16 Ohm resistor is also 32V, resulting in 2A flowing through it. The remaining current of 8A is directed into the other resistors, allowing for the application of Kirchhoff's Voltage Law to find the voltage across the 6 Ohm resistor. This process effectively leads to the calculation of power dissipated in the resistor.
RedDead
Messages
8
Reaction score
0
hello


Find the power dissipated in the (6 ohm) resistor.

the circuit is in the attachments


i know that P in the resistor = (i^2)*R
but how can i find the current in that 6 ohm resistor?
thanks
 

Attachments

  • q8823666.jpg
    q8823666.jpg
    7.6 KB · Views: 911
Physics news on Phys.org
Think about first combining resistors. Reply back to show your work for that. From there, it should be simple to get the I in the 6ohm resistor.
 
Answer these questions in order and you'll get there.

1.) What is the equivalent resistance of this circuit?
2.) What is the voltage across that equivalent resistance?
3.) What is the current through the right branch of the circuit? (Mr. Ohm will help you here)

Now you're ready to compute the power dissipated in that resistor.
 
Tom Mattson said:
Answer these questions in order and you'll get there.

1.) What is the equivalent resistance of this circuit?
2.) What is the voltage across that equivalent resistance?
3.) What is the current through the right branch of the circuit? (Mr. Ohm will help you here)

Now you're ready to compute the power dissipated in that resistor.

i got R equivalent = 3.2 ohm
the voltage across R equivalent = 32 volts
I in the right branch = 8 A
am i right?
 
Ack! You know what, I made the problem a little too simple in my head. You're right about the equivalent resistance and the voltage across it. That means that the voltage across the 16 Ohm resistor is 32V, so there's 2A going through it. So the other 8A goes into the other resistors. You can apply Kirchhoff's Voltage Law at this point to get the voltage across the 6 Ohm resistor.
 
Tom Mattson said:
Ack! You know what, I made the problem a little too simple in my head. You're right about the equivalent resistance and the voltage across it. That means that the voltage across the 16 Ohm resistor is 32V, so there's 2A going through it. So the other 8A goes into the other resistors. You can apply Kirchhoff's Voltage Law at this point to get the voltage across the 6 Ohm resistor.

thats exactly what i did ;)
thanks you!
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Graphing the Power dissipated in a resistor
Replies
1
Views
2K
Finding parallel or in-series resistors
Replies
3
Views
671
Need help with a question on potential difference
Replies
7
Views
1K
Using Current and Voltage Dividers
Replies
3
Views
1K
Ohm's Law - Finding Source Voltage
Replies
3
Views
1K
Power dissipated in this circuit with 2 batteries and 3 resistors
Replies
22
Views
4K
Power Resistor Immersed In Water
Replies
4
Views
3K
Finding the Current Through a Resistor (Working With Parallel and Series)
Replies
3
Views
1K
Finding Current in Resistors & Charge of Capacitor
Replies
4
Views
2K
How to solve this chain with Kirchhoff's laws?
Replies
18
Views
3K

Hot Threads

Recent Insights

Back
Top