Final answer:
The value of self-inductance needed for a characteristic RL time constant of 1.00 s with a 500 Ω resistor is 500 H.
Step-by-step explanation:
To find the value of self-inductance needed for a characteristic RL time constant of 1.00 s with a 500 Ω resistor, we can use the formula:
RL time constant = L / R
Where L is the self-inductance and R is the resistance.
Rearranging the formula, we get:
L = RL time constant * R
Substituting the given values, we have:
L = 1.00 s * 500 Ω = 500 H
Therefore, the value of self-inductance needed is 500 H.