1800-150-456-789
FlagBACK
Flag Electric Current> PLEASEEEEEEE.......ANSWER....
question mark

12 WIRES , EACH OF RESISTANCE r ARE JOINED TOGETHER TO FORM A CUBE. FIND THE EQUIVALENT RESISTANCE IN THE EDGE OF CUBE.

KAREENA KAREENA , 12 Years ago
Grade 10
anser 2 Answers
Aman Bansal

Last Activity: 12 Years ago

Dear Kareena,

This is the cube structure consisting of 12 resistors electrically connected between the 8 vertices. Each resistor is 1 Ω, but any value can be used so long as they are all the same.

RF Cafe - Resistor Cube Solution


Here is where the intuition comes into play. Color coding is used to help keep track of the resistors and associated nodes (below). Due to symmetry, the potential (voltage) at the three nodes labeled "α" are equal. Since no current flows between nodes with a potential difference of 0 V, they can be shorted together without affecting the circuits integrity. The same can be done for the nodes labeled "β."

RF Cafe - Resistor Cube Solution, traditional method of analysis


Once you short those nodes, you obtain the equivalent circuit shown below. As you can see, there are two sets of three resistors in parallel, in series with one set of six resistors in parallel. So, you have 1/3 Ω in series with 1/6 Ω in series with 1/3 Ω, which equals 5/6 Ω.

RF Cafe - Resistor Cube Solution, traditional method of analysis 


RF Cafe - Resistor Cube Solution, traditional method of analysis

Best Of luck

Cracking IIT just got more exciting,It s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and win by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple  to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert

KAREENA KAREENA

Last Activity: 12 Years ago

my question is to find the resistance in the edge of cube.

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Electric Current

question mark
The fig. Shows a network of resistance in which the point A is earthed
Electric Current
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
When a p.d of 2v is applied across a resistor, 10j of energy are covered. What charge flows through the resistor?
Electric Current
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Please provide it's solution. In video form Find the equivalent resistance of the given figure
Electric Current
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
The resistivity of material is 10 ohm m at 30 C when the temperature drops to 28 then the resistivitydrops by 2. The temperature coefficient of resistivity of material is
Electric Current
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Three cells of 2.0v each and internal resistance of 1.0 each are connected in series and in parallel calculate the new emf and new internal resistance in each connection
Electric Current
0 Answer Available

Last Activity: 2 Year ago(s)