find the maximum voltage that can be applied to a 8 kohm resistor rated 0.50 Watt?

To find the maximum voltage that can be applied to a resistor, you need to use the power and resistance ratings provided. The power rating of a resistor indicates the maximum amount of power it can safely dissipate without getting damaged.

In this case, you have a resistor rated for 0.50 Watts. We can use the formula for power:

P = V^2 / R

where P is the power, V is the voltage, and R is the resistance.

Rearranging the formula to solve for V, we have:

V = sqrt(P * R)

Substituting the given values, we get:

V = sqrt(0.50 * 8000)

V = sqrt(4000)

V ≈ 63.25 volts

Therefore, the maximum voltage that can be applied to the 8 kohm resistor rated 0.50 Watt is approximately 63.25 volts.