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a uniform wire of resistance of 20ohm having resistance 1 ohm/m is bent to form circle. if the equivalent resistance is 1.8ohm the length of shorter is what.

a uniform wire of resistance of 20ohm having resistance 1 ohm/m is bent to form circle. if the equivalent resistance is 1.8ohm the length of shorter is what.

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Grade:12th pass

2 Answers

nigamananda mishra
25 Points
6 years ago
Let there be two resistance between pq one from above and 1 from below....
let R1  be the resistance from below.....the R2=20-R1 ….
Now Req=R1 x R2/R1 + R2
= (20-R1)R1=1.8(R1+R2)
 
Solving the quadratic we get R1= 2 or 18
As R1 is smaller resistance …. R1 = 2
As resistance = 1 ohm/ metre
Therefore,distance between p and q = 2m
 
If you have any queries please ask
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

Let there be two resistance between pqone from above and 1 from below....
let R1 be the resistance from below.....the R2=20-R1 ….
Now Req=R1x R2/R1+ R2
= (20-R1)R1=1.8(R1+R2)

Solving the quadratic we get R1= 2 or 18
As R1 is smaller resistance …. R1 = 2
As resistance = 1 ohm/ metre
Therefore,distance between p and q = 2m

Thanks and Regards

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