Question
Download Solution PDFA 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
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- 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.
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