The heat dissipated in a resistor is given by the formula H = I^2 R t . In a laboratory experiment, the measured values of current ( I ), resistance ( R ), and time ( t ) are recorded as I = (10 0.2) A , R = (5 0.1) , and t = (100 1) s . The maximum percentage error in the calculated value of heat dissipated H will be:

Step-by-step solution

Percentage error in current I = 0.2 10 100 = 2 % Percentage error in resistance R = 0.1 5 100 = 2 % Percentage error in time t = 1 100 100 = 1 % The formula for heat dissipated is H = I^2 R t . The maximum percentage error in H is given by: H H 100 = 2 ( I I 100 ) + R R 100 + t t 100 H H 100 = 2(2 %) + 2 % + 1 % = 4 % + 2 % + 1 % = 7 % Answer: 7 %