A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be

CONCEPT:

• Whenever a current is flowing in the wire then heat is produced in it. The phenomenon of producing heat by the electric current is called as the heating effect of electric current.
• The amount of heat produced,

H = I² R t      ...(1)

Where I is current, R is resistance and t is the time taken

EXPLANATION:

Given: I = 1 A

• Using equation 1,

⇒ H = I² R t = 2000 J

• Now new current (I’) = 2 × I = 2 A
• Heat produced,

⇒ H’ = (2I)² R t 

⇒ H’ = 4  × I² R t 

 ∵  I2 R t = 2000 J

⇒ H’ = 4 × 2000 = 8000 J       

So, the correct answer will be option 3.