Calculating Total Resistance of a Cube with Six Ohm Edges | Helpful Tips

AI Thread Summary
The total resistance of a cube with each edge having a resistance of six ohms is calculated to be 30 ohms when measured between opposite corners. To visualize the problem, numbering the corners from 1 to 8 and sketching the resistance network can aid in understanding the connections. Using Kirchhoff's law, the current can be tracked as it divides at each node until reaching the desired corner. The voltage drop across each edge is calculated using the formula v = i*r, and the total resistance is found by summing these voltage drops and dividing by the initial current. This method provides a clear approach to determining equivalent resistance in a cube configuration.
alnywk
Messages
13
Reaction score
0
what is the total resistance of the cube if each edge hv six ohm ?
help me please
i don't know how to draw a simple diagram
 
Physics news on Phys.org
Number the corners from 1 to 8. As you construct the resistance network on paper between the nodes (corners) keep track of your progress by scribbling each edge on the cube out as you make the connections on paper.
 
total resistance of a cube each edge having six ohm resistance is 30 ohm(In case of equivalent resistance calculated between opposite corners).
It means 5*R .where R is the resistance of one edge of cube.

To draw the diagram for the above problem , start from one corner with i current and dividing it according to kirchhoffs law on each node. by this way go to the last node (desired corner).

Now calculate voltage drop on each edge( v = i*r). Sum up all voltage drops and divide by initial current i. By this way you can calculate equivalent resistance between desired corners of the cube.

If you still have any problem mail me.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top