What is the current through a 100-ohm resistor connected across 200 volts?

To find the current flowing through a resistor when a specific voltage is applied, Ohm's Law is used. Ohm's Law states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R). Mathematically, this can be expressed as:

[ I = \frac{V}{R} ]

In this scenario, the voltage (V) is 200 volts and the resistance (R) is 100 ohms. By applying Ohm's Law, you calculate the current as follows:

[ I = \frac{200 \text{ volts}}{100 \text{ ohms}} = 2 \text{ amperes} ]

The result indicates that the current through the 100-ohm resistor when a voltage of 200 volts is applied is indeed 2 amperes, which aligns with the correct answer. This calculation demonstrates the relationship between voltage, current, and resistance in an electrical circuit, reinforcing the core principles of Ohm's Law for students of amateur radio and electronics.