The heat dissipated in a resistor can be obtained by the measurement of resistance, current and time. If the maximum error in the measurement of these quantities is 1%, 2% and 1% respectively, the maximum error in the determination of the dissipated heat is

Options

A. `4%`
B. `6%`
C. `(4)/(3)%`
D. `2%`

Answer

B

Explanation

Heat dissipated in a resistor is given by `H= I^(2)Rt`
`:. (DeltaH)/(H)= 2(DeltaI)/(I)+ (DeltaR)/(R)+ (Deltat)/(t)`
For maximum percentage error,
`(DeltaH)/(H)xx100= 2(DeltaI)/(I)xx100+ (DeltaR)/(R) xx 100+ (Deltat)/(t)xx100= 2 xx 2%+ 1%+ 1%= 6%`