In a DC circuit with a 100-volt battery connected to a 2-ohm resistor, what are the current through the resistor and the power consumption?

To determine the correct answer, we start by applying Ohm's Law, which states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R). In this case, you have a voltage of 100 volts and a resistance of 2 ohms.

Using the formula:

I = V / R

I = 100 volts / 2 ohms

I = 50 amps

Now that we have calculated the current as 50 amps, we can find the power consumption using the power formula, which is the product of voltage and current (P = V * I).

P = 100 volts * 50 amps

P = 5000 watts

The correct values are 50 amps for the current flowing through the resistor and 5000 watts for the power consumed by the resistor, confirming that the first option is indeed the correct answer.

Understanding this calculation is crucial in electrical engineering, as it provides insights into how current and power interact in a circuit when connected to a power source.