What is the current flowing through a 200-ohm resistor connected across 500 volts?

To determine the current flowing through the 200-ohm resistor connected to a 500-volt source, Ohm's Law is applied. Ohm's Law states that the current (I) flowing through a resistor can be calculated using the formula:

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

Where:

• ( I ) is the current in amperes (amps),

• ( V ) is the voltage across the resistor in volts,

• ( R ) is the resistance in ohms.

In this case, the voltage ( V ) is 500 volts and the resistance ( R ) is 200 ohms. Plugging these values into the formula gives:

[ I = \frac{500, \text{volts}}{200, \text{ohms}} = 2.5, \text{amps} ]

Therefore, the current flowing through the resistor is indeed 2.5 amps. This value reflects the direct relationship between voltage and current highlighted by Ohm's Law, where a higher voltage across a fixed resistance results in a proportionately higher current.

This reasoning leads to an understanding of how electrical components behave in a circuit, reinforcing the foundational principles of both instrumentation and electrical