Question

2A current flowing through any conductor for 10 second produces 80 joule heat. Calculate the resistance of the conductor.

Answer 1

R = 2 Ohms.

Explanation:

I = 2A , t = 10 seconds , H = 80 Joule , R = ?

H = I²×R×t.

→ 80 = 2²×R×10.

→ 80 = 4×R×10.

→ 80 = 40×R.

→ 80/40 = R.

→ 2 = R. (or) R = 2.

Therefore, the resistance of the conductor is 2 ohms.

Answer 2

Given :

Current (I) = 2 A

Heat (H) = 80 J

Time (T) = 10 seconds

To Find :

The resistance of the conductor.

Solution :

As per Joule's Law of Heating effect,

 Heat (H) = I²RT

where, I = current flowing through the conductor

          R = Resistance of the conductor

          T = Time

So,

 Heat (H) = (2)² × R × 10

⇒  80       =  40R

∴   R         =  2 Ω

Hence, the resistance of the given conductor is found to be 2 Ω.