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(D) The formula for heat dissipated in an electrical circuit is given by $H = I^2 R t$.The relative error in the measurement of heat is given by the e

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$8$

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(D) The formula for heat dissipated in an electrical circuit is given by $H = I^2 R t$.The relative error in the measurement of heat is given by the expression:$\frac{\Delta H}{H} = 2 \left( \frac{\Delta I}{I} ight) + \frac{\Delta R}{R} + \frac{\Delta t}{t}$.To find the maximum percentage error,we multiply by $100$:$\frac{\Delta H}{H} 	imes 100 = 2 \left( \frac{\Delta I}{I} 	imes 100 ight) + \left( \frac{\Delta R}{R} 	imes 100 ight) + \left( \frac{\Delta t}{t} 	imes 100 ight)$.Given the percentage errors:$\frac{\Delta R}{R} 	imes 100 = 1 \%$,$\frac{\Delta I}{I} 	imes 100 = 2 \%$,$\frac{\Delta t}{t} 	imes 100 = 3 \%$.Substituting these values into the equation:$	ext{Percentage error in } H = 2(2 \%) + 1 \% + 3 \% = 4 \% + 1 \% + 3 \% = 8 \%$.

The maximum error in the measurement of resistance,current,and time for which current flows in an electrical circuit are $1 \%$,$2 \%$,and $3 \%$ respectively. The maximum percentage error in the calculation of the dissipated heat will be (in $\%$)

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