A certain brand of hot dog cooker applies a potential difference of 120 V to opposite ends of the hot dogs and cooks by means of the joule heat produced.If energy of 62 kJ is needed to cook each hot dog,what current is needed to cook four hot dogs simultaneously in 1.5 min? Assume a parallel connection.
A)2.5 A
B)5.1 A
C)10 A
D)15 A
E)23 A

Question

Quizplus · Accepted Answer

To find the current, use the formula P = IV, where P is power, I is current, and V is voltage. First, calculate the total energy needed for four hot dogs: 4 * 62 kJ = 248 kJ. Convert this to joules: 248,000 J. The time is 1.5 minutes, which is 90 seconds. Power P = Energy/Time = 248,000 J / 90 s = 2755.56 W. Using P = IV, we have 2755.56 W = I * 120 V, solving for I gives I = 2755.56 / 120 = 22.96 A, approximately 23 A.

A Certain Brand of Hot Dog Cooker Applies a Potential