Question

9. What is heating effect of the current? What value of current I flowing in a 1000 Ohm resistor
for 100 seconds will produced 40 J of heat? ​

Answer 1

Answer:

The heat developed when a current flows through a conductor is called as the heating effect.

The work done is converted into heat energy.

$\Large{\underline{\underline{\bf{Given:}}}}$

• Resistance (R) = 1000 Ω
• Time (T) = 100 s
• Heat produced(H) = 40 J

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Current (I)

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ By Joule's law heat produced is given by

 H = I²RT

→ Substituting the given datas we get,

  40 = I² × 1000 × 100

  I² = 4 × 10⁻⁴

  I = 0.02 A

$\boxed{\bold{Current=0.02\:A}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Joule's law state that heat dissipated in a conductor is directly proportional to the square of the current flowing through the conductor, resistance of the conductor, time for which current flows through the circuit.

H = I²RT

Answer 2

Heating effect of electric current states that heat produced in a conductor is directly proportional to

• the square of current
• resistance of the conductor
• time

$\boxed{ \sf{H = {(I)}^{2} RT}}$

_______________________

Given ,

Resistance (R) = 1000 ohm

Time (t) = 100 sec

Heat (H) = 40 J

We know that ,

H = (I)²RT

Thus ,

40 = (I)² × 1000 × 100

(I)² = 4 × (10)^{-4}

I = 0.02 amp

$\therefore$ The current flowing through the conductor is 0.02 amp