High School

If a toaster is plugged into a source of alternating voltage with an RMS value of 51.7 V, and an RMS current of 5.33 A occurs in the heating element, what is the resistance?

Answer :

The resistance of the toaster's heating element when plugged into an rms voltage of 51.7 V with an rms current of 5.33 A is 9.7 ohms.

The resistance of the toaster's heating element when plugged into an alternating voltage source can be determined using Ohm's Law, which states that \resistance (R)\ is equal to voltage (V) divided by current (I).

Given that the rms voltage is 51.7 V and the rms current is 5.33 A, the resistance of the heating element can be calculated as R = V/I.

By plugging in the given values:

R = 51.7 V / 5.33 A = 9.7 ohms\

This calculation assumes that the toaster's heating element behaves as an ohmic resistor and that the voltage and current values provided are the rms values, which are typically used when working with AC circuits.