Question

9 wires each of resistance 5 ohm are connected to make a prism as shown .Find equivalent resistance across ab

Answer 1

Answer:

24 ohm is the answer of this question

Answer 2

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9 wires each of resistance 5 ohm are connected to make a prism as shown in the diagram. Find equivalent resistance across AB.

Concept:

• Equivalent resistance
• Parallel and series arrangement of resistors
• Parallel arrangement equivalent resistance 1/R' = 1/R1 +1/R2 +1/R3...
• Series arrangement equivalent resistance R' = R1 +R2 +R3+ ....

Given:

• A circuit in the shape of a prism
• Resistance of each of the nine wires r = 5 ohm

Find:

• The equivalent resistance across AB

Solution:

The potentials at D and F are the same

The potentials at C and F are the same

Therefore, there is no current passing through DE and CF

The equivalent resistance across AB = (3/2)r*r/(3/2r +r) = 3/5r = 0.6r = 0.6*5 = 3 ohm

The equivalent resistance across AB is 3ohm

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