Using Joules law of heating calculate the amount of heat decipated when current flowing through conductor is 10 ampere and 5 resistors each of resistance 2 ohm are connected in series connection in time 10 Seconds.
Answers
Given :-
- 10 ampere of current is flowing in circuit.
- 5 resistors each of resistance 2 ohm are connected in series.
- Time for which current is flowing is 10 seconds.
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To find :-
- Amount of heat decipated in the circuit
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Explanation :-
In the given Question, we are asked to find amount of heat using Joules law of heating. Joules law of heating States that the heat decipated in the circuit is directly proportional to the Square of current, directly proportional to resistance and also directly proportional to the time for which current is flowing.
This gives us:
But also in the Question, we are not given directly the value of resistance in the circuit. We have to find it. We know that the total resistance in series connection can be find by Algebric addition of the values of resistors. So by using this concept we can easily find value of total resistance and by substituting all the values in Formula, we can find value of heat decipated.
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~Finding total resistance of circuit
Total resistance=Sum of all resistance in circuit
Total resistance=2Ω+2Ω+2Ω+2Ω+2Ω
Total resistance=10Ω
~Finding amount of heat decipated in circuit
⇒ H=I²Rt
By substituting given values:
⇒ H=(10 Amp.)²(10Ω)(10 sec.)
⇒ H= 10000Amp.ohm.sec.
⇒ H= 10000Joules
⇒ H=10 Kilojoule
So the required amount of heat decipated is 10 Kilojoule
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Resistance is 10 Ω
H=I²Rt
H=10²(10)(10)
H=10000 joule=10kilo Joules
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