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  • A potentiometer experiment is performed to determine the value of an unknown resistor. A known resistor of 10.0 Ω is connected to the potentiometer, and the balancing length is found to be 40

A potentiometer experiment is performed to determine the value of an unknown resistor. A known resistor of 10.0 Ω is connected to the potentiometer, and the balancing length is found to be 400 cm. When the unknown resistor is connected, the balancing length becomes 300 cm. Calculate the value of the unknown resistor.

Option: 1

7.5 Ω


Option: 2

8.3 Ω


Option: 3

80.3 Ω


Option: 4

10.5 Ω


Answers (1)

best_answer

Let 'R known'  be the known resistor, Runknown be the unknown resistor, L1 be the balancing length without the unknown resistor, and L2 be the balancing length with the unknown resistor.

According to the principle of a potentiometer:
\frac{R_{known}}{R_{unknown}} = \frac{L_{1}}{L_{2}}

Given Rknown = 10.0 Ω,  L1 = 400 cm, and L2 = 300 cm, we can solve for Runknown:

R_{unknown = }\frac{R_{known}. L_{2}}{L_{1}} = \frac{10.0 . 300}{400} = 7.5 \Omega


Therefore, the value of the unknown resistor is 7.5 Ω.
 

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vinayak

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