The potential difference across a resistor of 2 ohm when 200 joule of heat is produced each second is given by _____.

Correct option is C

Correct Answer: C 20 volt

Solution:

We are given:

• Resistance (R) = 2 ohms
• Heat produced per second (H/t) = Power (P) = 200 W

The formula for power is:

​$$P = \frac{V^2}{R}$$​​

• Rearrange for V:

​$$V = \sqrt{P \times R}$$​​

• Substitute the values:

​$$V = \sqrt{200 \times 2} = \sqrt{400} = 20 \, \text{V}$$​​

Thus, the potential difference across the resistor is 20 volts.

Information Booster:

•  Power (P) is calculated as P=H/t, where H is heat energy.
  
•  Ohm's law relates voltage, current, and resistance through V=I×R.
  
•  $$P = V^2 / R$$​ is derived from combining power and Ohm's law.
•  A resistance of 2 ohms and a power of 200 W results in a voltage of 20 V.
  
•  Accurate calculations are crucial for designing efficient and safe electrical circuits.