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A resistor develops 300 \mathrm{~J} of thermal energy in 15 \mathrm{~s}, when a current of 2 \mathrm{~A} is passed through it. If the current increases to 3 \mathrm{~A}, the energy developed in 10 \mathrm{~s} is __________J .

Option: 1

450


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{H_{1}= 300\, J= I_{1}^{2}\, R\, t_{1}}
\mathrm{H_{2}= I_{2}^{2}\, R\, t_{2}}

\mathrm{\frac{H_{1}}{H_{2}}= \frac{I_{1}^{2}\, t_{1}}{I_{2}^{2}\, t_{2}}}

\mathrm{\frac{300}{H_{2}}= \frac{4}{9}\times \frac{15}{10}= \frac{2}{3}}
\mathrm{{H_{2}}= 450\, J}

The energy developed in 10 s is \mathrm{ 450\, J}
 

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Sayak

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