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The heat generated in a circuit is depen...

The heat generated in a circuit is dependent on the resistance, current and time of flow of electrical current. If the errors measured in the above are 1% , 2% and 1% respectively, what is the maximum error in heat ?

Text Solution

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Heat `H= (i^2 RT)/( j)`
Maximum error in measuring the heat
`(Delta H)/( H) xx 100 = 2 (Delta i)/( i) xx 100 + (Delta R)/( R) xx 100+ (Delta T)/( T) xx 100`
Here J is a constant.
Given that
`(DeltaR) /(R) xx 100 = 1 % , (Deltai)/(i) xx 100= 2% (Delta T)/( T) xx 100 = 1%`
`(Delta H )/( H) xx 100 = (2 xx 2) + 1+ 1 = 4 + 1 +1`
Maximum error in heat = 6%
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