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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
4 years ago
Let there be two resistance between pq one from above and 1 from below....
let R be the resistance from below.....the R2=20-R1 ….
Now Req=R1 x R2/R+ 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
one year 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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