Resistance of potentiometer wire is 0.1 ohm per centimetre of 1.5 balances at 300 CM length of potential metre wide find the balancing length of another cell of 1.4 volt on same wire?

Question

Answer

Calculating the Balancing Length of the Potentiometer Wire

Given data:
- Resistance of potentiometer wire = 0.1 ohm/cm
- Balancing length of a 1.5V cell = 300 cm

Calculating the resistance of the wire:
- Resistance = 0.1 ohm/cm * 300 cm = 30 ohms

Finding the balancing length for a 1.4V cell:
- Let the balancing length for the 1.4V cell be x cm
- Using the formula for potential difference (V) = IR, where I is the current flowing through the wire and R is the resistance of the wire
- For the 1.5V cell: 1.5 = I * 30
- For the 1.4V cell: 1.4 = I * x
- Equating the currents in both cases: 1.5/30 = 1.4/x
- Solving for x: x = 30 * 1.4 / 1.5

Calculating the balancing length:
- x = 28 cm
Therefore, the balancing length for a 1.4V cell on the same wire would be 28 cm.

Answer

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