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An unknown resistance R is connected in ...

An unknown resistance R is connected in series with a 2 ohm resistance. A current is flowing in this combination. The balancing length for potential difference across 2 ohm resistor, in a potentiometer experiment is found to be 300 cm, while the balancing length for the potential difference across the unknown R is found to be 360cm. The unknown resistance R is

A

2.4ohm

B

3.0 ohm

C

3.6 ohm

D

6.6 ohm

Text Solution

AI Generated Solution

To find the unknown resistance \( R \) connected in series with a 2-ohm resistor, we can use the relationship between the potential difference across a resistor and the balancing length in a potentiometer experiment. Here’s how to solve the problem step by step: ### Step 1: Understand the relationship In a potentiometer, the potential difference \( V \) across a resistor is directly proportional to the balancing length \( L \). This can be expressed as: \[ V \propto L \] For resistors in series, the current \( I \) is the same through both resistors. ...
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