A 10 m long uniform metallic wire having a resistance of `20 Omega` is used as a potentiometer wire. This wire is connected in series with another resistance of `480 Omega` and a battery of emf 5 V having negligible internal resistance. If an unknown emf e is balanced across 6 m of the potentiometer wire, calculate :
the value of the unknown emfe.

Explanation

To solve the problem step by step, we will follow the instructions given in the video transcript and apply the relevant formulas.

### Step 1: Calculate the total resistance in the circuit
The total resistance \( R_t \) in the circuit is the sum of the resistance of the potentiometer wire and the series resistance.

\[ R_t = R_{wire} + R_{series} = 20 \, \Omega + 480 \, \Omega = 500 \, \Omega \]
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