The heat generated in a circuit is given by Q=I2 Rt , where I is current, R is resistance, and t is time. If the percentage errors in measuring I,R, and t are 2 %, 1 % and 1 % respectively, then the maximum error in measuring heat will be

Question

The heat generated in a circuit is given by Q=I2 Rt , where I is current, R is resistance, and t is time. If the percentage errors in measuring I,R, and t are 2 %, 1 % and 1 % respectively, then the maximum error in measuring heat will be (A) 2 % (B) 3 % (C) 4 % (D) 6 %

Tardigrade Admin · Accepted Answer

Q=I2Rt Required error is 2× 2 %+1 %+1 %=6 %

Q. The heat generated in a circuit is given by $Q = I^{2} Rt$ , where $I$ is current, $R$ is resistance, and $t$ is time. If the percentage errors in measuring $I, R,$ and $t$ are $2%, 1%$ and $1%$ respectively, then the maximum error in measuring heat will be

$2%$

$3%$

$4%$

$6%$

$Q = I^{2} Rt$
Required error is $2 \times 2% + 1% + 1% = 6%$

Q. The heat generated in a circuit is given by Q=I2Rt , where I is current, R is resistance, and t is time. If the percentage errors in measuring I,R, and t are 2%,1% and 1% respectively, then the maximum error in measuring heat will be

2%

3%

4%

6%