A lamp operates with a current of 0.625A and a potential difference of 120V. What is the currnt flowing through the microwave?

You have aready stated that the current through the LAMP is 0.625 A. If the microwave is some other part of the circuit, it will have the same current if it is in series wth the lamp. If it is in parallel wth the lamp, you need to tell us more about the circuit, including the resistance of the microwave.

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To determine the current flowing through the microwave, we need to have some information about the microwave. Specifically, we need to know the potential difference (voltage) across the microwave.

Once we have the voltage across the microwave, we can use Ohm's Law to calculate the current flowing through it. Ohm's Law states that the current (I) flowing through a device is equal to the voltage (V) across the device divided by its resistance (R). In equation form, it is written as:

I = V / R

Now, if you have the voltage across the microwave, you can simply divide it by the microwave's resistance to find the current. However, if you don't have the resistance value, we won't be able to determine the current accurately.

Therefore, to answer your question, we need to know the potential difference (voltage) and the resistance of the microwave.