Question

EXAMPLE 2.27
Find the heat energy produced in a
resistance of 10 2 when 5 A current
flows through it for 5 minutes.​

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \: Solution...}}}}}$

${\bigstar \:{\pmb{\sf{\underline{Understanding \: the \: question...}}}}}$

⋆ This question says that we have to find out the heat energy produced in a resistance of 10 ohms (Ω) when 5 Ampere current flows through resistance for 5 minutes. Let's do it!

${\bigstar \:{\pmb{\sf{\underline{Provided \: that...}}}}}$

$\sf According \: to \: statement \begin{cases} & \sf{Resistance \: = \bf{10 \: \Omega}} \\ \\ & \sf{Time \: = \bf{5 \: minutes}} \\ \\ & \sf{Current \: = \bf{5 \: Ampere}} \\ \\ & \sf{Heat \: energy \: produced \: = \bf{?}} \end{cases}$

${\bigstar \:{\pmb{\sf{\underline{Using \: concept...}}}}}$

⋆ Formula to find out the heat energy

⋆ Formula to convert minutes into seconds

${\bigstar \:{\pmb{\sf{\underline{Using \: formula...}}}}}$

⋆ The heat energy is given by the mentioned formula:

• ${\small{\underline{\boxed{\sf{I^2RT}}}}}$

Where, I denotes current, R denotes resistance and T denotes time.

⋆ Formula to convert minutes into seconds is given by

• ${\small{\underline{\boxed{\sf{1 \: minute \: = 60 \: seconds}}}}}$

${\bigstar \:{\pmb{\sf{\underline{Full \; Solution...}}}}}$

~ Firstly let us convert minutes into seconds by using suitable formula!

$:\implies \sf 1 \: minute \: = 60 \: seconds \\ \\ :\implies \sf 5 \times 60 \\ \\ :\implies \sf 300 \: seconds$

~ Now to solve this question we have to use the suitable formula to find out the heat energy.

$:\implies \sf I^2RT \\ \\ :\implies \sf (5)^{2} \times 10 \times 300 \\ \\ :\implies \sf 5 \times 5 \times 10 \times 300 \\ \\ :\implies \sf 25 \times 10 \times 300 \\ \\ :\implies \sf 250 \times 300 \\ \\ :\implies \sf 75000 \: Joules$

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• Dear app users, the sign of Ohm is Ω but due to system error it is shown like Ømega (attachment 2nd) but kindly see the correct symbol from attachment 1st. Thanks for understanding!