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

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

• A. 2 amperes
• B. 4 amperes
• C. 1 amperes
• D. 3 amperes

Answer: (A)

To determine the current through a resistor given a specific voltage and resistance, you can use Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R). In this case, the voltage across the resistor is 200 volts, and the resistance is 100 ohms. Using the formula: \[ I = \frac{V}{R} \] substituting the values provides: \[ I = \frac{200 \text{ volts}}{100 \text{ ohms}} \] This simplifies to: \[ I = 2 \text{ amperes} \] This calculation shows that the correct answer is indeed 2 amperes, indicating that when a 200-volt supply is applied across a 100-ohm resistor, a current of 2 amperes will flow through it. It's important to recognize that the other choices suggest different current levels that do not align with the calculated result from applying Ohm's Law, reinforcing that 2 amperes is the definitive answer based on known electrical principles.

To determine the current through a resistor given a specific voltage and resistance, you can use Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R). In this case, the voltage across the resistor is 200 volts, and the resistance is 100 ohms.

Using the formula:

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

substituting the values provides:

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

This simplifies to:

[ I = 2 \text{ amperes} ]

This calculation shows that the correct answer is indeed 2 amperes, indicating that when a 200-volt supply is applied across a 100-ohm resistor, a current of 2 amperes will flow through it. It's important to recognize that the other choices suggest different current levels that do not align with the calculated result from applying Ohm's Law, reinforcing that 2 amperes is the definitive answer based on known electrical principles.