The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If the error in measuring the above are 1%, 2% and 1% respectively, then maximum error in measuring the heat is

Options

A. `2%`
B. `3%`
C. `6%`
D. `1%`

Answer

C

Explanation

H= `I^(2)` Rt
`rArr (Delta H)/(H) xx 100 = (2 DeltaI)/(I) xx 100 + (Delta R)/(R ) xx 100 + (Delta t)/(t) xx 100`
`" " = 2(2%) + 1% + 1% = 6%`