Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityEquivalent ResistanceMedium2 minQB

PhysicsMediumsingle choice

Passage / Comprehension

Twelve wires of equal resistance R are placed in a given arrangement as shown in figure. Then find

Equivalent resistance between A & B is

Options:

Answer:

Solution:

The twelve wires are the six sides of the hexagon and six spokes to the centre O, each of resistance R.

With current in at A and out at B, the mirror symmetry about the perpendicular bisector of AB makes (F, C) and (E, D) equipotential pairs; merging them and reducing the ladder gives $R_{A B} = \frac{11 R}{20}$ .

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Equivalent Resistance

⏱ 2mℹ️ Source: QB

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