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A wire of resistance 0.5 ohm/m is bent into a circle of radius 1 m. The same wire is connected across a diameter AB as in figure. Find equivalent resistance in ohms.

A wire of resistance 0.5 ohm/m is bent into a circle of radius 1 m. The same wire is connected across a diameter AB as in figure. Find equivalent resistance in ohms.

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Grade:12

2 Answers

Adarsh
763 Points
3 years ago
Dear kiran,
 
we can consider 3 resistance connected in parallel . one is AB and 2nd is along the arc ACB and 3rd along arc ADB..
now values of resistance in wire AB = 1ohm
value of length of arc ACB = 3.14 and its resistance = 1.57 ohm = resistance of arc ADC ..
Now you can calculate the effective resistance as all three are in parallel ..
Thanks and Regards
Adarsh
Gitanjali Rout
184 Points
3 years ago
 consider 3 resistance connected in parallel . one is AB and 2nd is along the arc ACB and 3rd along arc ADB..now values of resistance in wire AB = 1ohmvalue of length of arc ACB = 3.14 and its resistance = 1.57 ohm = resistance of arc ADC ..Now you can calculate the effective resistance as all three are in parallel ..Thanks and Regards

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