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Current Electricity question

2005 · Q174
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Current Electricity question

2005 · Q174

NEETPhysicsCurrent ElectricityMCQ+4 / −1
When a wire of uniform cross-section aaa length lll and resistance R is bent into a complete circle. resistance between any two of diametrically opposite points will be
  1. A
    R/4
  2. B
    4R
  3. C
    R/8
  4. D
    R/2
View written solutionFree

Correct answer: A

AIPMT 2005 Physics - Current Electricity Question 63 English Explanation

Req=R1R2R1+R2=(R2.R2)R2+R2{R_{eq}} = {{{R_1}{R_2}} \over {{R_1} + {R_2}}} = {{\left( {{R \over 2}.{R \over 2}} \right)} \over {{R \over 2} + {R \over 2}}}Req​=R1​+R2​R1​R2​​=2R​+2R​(2R​.2R​)​

∴\therefore∴ Req=R4{R_{eq}} = {R \over 4}Req​=4R​

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