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In a Potentiometer Experiment, the Balancing Length with a Resistance of 2ω is Found to Be 100 Cm, While that of an Unknown Resistance is 500 Cm. Calculate the Value of the Unknown Resistance. - Physics (Theory)

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Question

In a potentiometer experiment, the balancing length with a resistance of 2Ω is found to be 100 cm, while that of an unknown resistance is 500 cm. Calculate the value of the unknown resistance. 

Answer in Brief
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Solution

`R = 2 Ω`

`l_R = 100  "cm"`

`X = ?`

`l_X = 500  "cm"`

`therefore` by balancing bridge condition

`R/X = l_R/l_Y`

`2/X = 100/500`

`X = 10 Ω`

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