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A uniform wire of 16Ω resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Ω. The effective resistance between the other two opposite corners is
  • a)
    32 Ω
  • b)
    16 Ω
  • c)
    8 Ω
  • d)
    4 Ω
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A uniform wire of 16Ω resistance is made into the form of a squa...
Consider the following arrangement:

The resistance of the wires along the sides are 4 Ohms each and the diagonal is 16 Ohms.
Then the above circuit satisfies the Wheatstone's balanced condition.
Hence
there is no current passing the resistance AC when a potential is applied between B and D.
On removing the resistance AC, resistance DA and AB are series, similarly DC and CB are in series and the respective two are in parallel.
Then the resistance across D-A-B = 4 +4 = 8 Ohms
Resistance across D-C-B = 4 + 4= 8 Ohms.
Now both the 8 Ohms  are in parallel.
Hence the effective resistance of the circuit is

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A uniform wire of 16Ω resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Ω. The effective resistance between the other two opposite corners isa)32 Ωb)16 Ωc)8 Ωd)4 ΩCorrect answer is option 'D'. Can you explain this answer?
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A uniform wire of 16Ω resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Ω. The effective resistance between the other two opposite corners isa)32 Ωb)16 Ωc)8 Ωd)4 ΩCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform wire of 16Ω resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Ω. The effective resistance between the other two opposite corners isa)32 Ωb)16 Ωc)8 Ωd)4 ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform wire of 16Ω resistance is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Ω. The effective resistance between the other two opposite corners isa)32 Ωb)16 Ωc)8 Ωd)4 ΩCorrect answer is option 'D'. Can you explain this answer?.
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