A current of 2 A flows through a 5 ohm conductor for 10 s. Find the quantity of heat — Physics problems | PhysLabo
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Heat generated in a conductor

Easy 10 grade Electricity / Electric Current

A current of strength $I = 2$ A flows for a time $t = 10$ s through a conductor of resistance $R = 5$ ohm. Find the quantity of heat released in the conductor.

Given
  • $R = 5$ ohm
  • $I = 2$ A
  • $t = 10$ s
  • $Q = ?$
Visual demonstration
Hints
Hint 1 / 2
Joule-Lenz law: $Q = I^2Rt$.
Hint 2 / 2
All quantities are already in base units (A, ohm, s), so the result is in joules straight away.
Solution

Joule-Lenz law: $Q = I^2 R t$.

$$Q = 2^2 \cdot 5 \cdot 10 = 4 \cdot 5 \cdot 10 = 200 \text{ J}$$

Answer

$Q = 200$ J