Question

A 2 V battery, a 15 \( \Omega \) resistor, and a potentiometer of 100 cm length are connected in series. If the resistance of potentiometer wire is 5 \( \Omega \), then the potential gradient of the potentiometer wire is:

• A. 0.05 V/cm
• B. 0.02 V/cm
• C. 0.05 V/cm
• D. 0.2 V/cm

Hint:

The potential gradient of a potentiometer is the potential difference divided by the length of the potentiometer wire.

Answer 1

The Correct Option is A

Step 1: Use the formula for potential gradient.
The potential gradient \( G \) is given by: \[ G = \frac{V}{L} \] where \( V \) is the total potential difference and \( L \) is the length of the potentiometer.
Step 2: Calculation.
The total potential difference across the potentiometer is 2 V. The length of the potentiometer is 100 cm, so the potential gradient is: \[ G = \frac{2}{100} = 0.05 \, \text{V/cm} \]
Final Answer: \[ \boxed{0.05 \, \text{V/cm}} \]