Final answer:
a) The resistance of the oven heater element is 9 ohms. b) The peak current through the oven heater element is 13.33A. c) The peak power dissipated by the oven is 1600W.
Step-by-step explanation:
a) To find the resistance of the oven heater element, we can use Ohm's Law: R = V/I, where R is the resistance, V is the voltage, and I is the current. Since the toaster oven is operating at 120V, we can calculate the resistance using the power formula P = IV. Rearranging the formula to solve for resistance, we have R = V²/P. Substituting the given values, we get R = (120V)²/1600W = 9 ohms.
b) The peak current can be calculated using the formula P = IV, where P is the power and I is the current. Rearranging the formula to solve for current, we have I = P/V. Substituting the given values, we have I = 1600W/120V = 13.33A. Therefore, the peak current through the oven heater element is 13.33A.
c) The peak power dissipated by the oven can be calculated using the formula P = IV. Substituting the given values, we have P = 13.33A x 120V = 1600W. Therefore, the peak power dissipated by the oven is 1600W.