A resistor develops 500J of thermal energy in 20 s when a current of 1.5 A is passed through it.

Question:

A resistor develops $500 \mathrm{~J}$ of thermal energy in $20 \mathrm{~s}$ when a current of $1.5 \mathrm{~A}$ is passed through it. If the current is increased from $1.5 \mathrm{~A}$ to $3 \mathrm{~A}$, what will be the energy developed in $20 \mathrm{~s}$.

  1. $1500 \mathrm{~J}$

  2. $1000 \mathrm{~J}$

  3. $500 \mathrm{~J}$

  4. $2000 \mathrm{~J}$


Correct Option: , 4

Solution:

$500=(1.5)^{2} \times \mathrm{R} \times 20$

$\mathrm{E}=(3)^{2} \times \mathrm{R} \times 20$

$\mathrm{E}=2000 \mathrm{~J}$

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