What is the maximum rated current-carrying capacity of a resistor marked "2000 ohms, 200 watts"?

To determine the maximum rated current-carrying capacity of a resistor marked "2000 ohms, 200 watts," we can use the formula for power in terms of voltage and current, which is expressed as:

[ P = I^2 \times R ]

where:

• ( P ) is the power in watts,

• ( I ) is the current in amperes, and

• ( R ) is the resistance in ohms.

We know the resistor's resistance (R) is ( 2000 ) ohms and the power (P) is ( 200 ) watts. We can rearrange the formula to find the current (I):

[ I = \sqrt{\frac{P}{R}} ]

Substituting the known values into the formula:

[ I = \sqrt{\frac{200 \text{ watts}}{2000 \text{ ohms}}} ]

This simplifies to:

[ I = \sqrt{0.1} = 0.316 \text{ amps} ]

Thus, the maximum rated current-carrying capacity of the resistor is ( 0.316 ) amps. This indicates that at this current, the resistor can handle up to