Smaller than negative infinity
A hollow sphere is made out of wire and from any two diametrically opposite points current is allowed to flow. Each wire is of 10 ohm.Then find the equivalent resistance of the circuit.
Hints and Clues: Wires are very very thin.
Remember the symmetry of a sphere.
The answer is 0.
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1 solution
Since the sphere have ∞ symmetry and wires are very very thin so can't we say :
They are connected in parallel,
Wires = ∞
Now, equ. Resistance= 1/1/R x ∞
=1/∞
=0 (since x/0 = ∞ then 1/ x/0 = 0)