Final answer:
The constant voltage that must be applied to reduce the current to 0 at t=0.8s is 50V. Hence the correct answer is option (A).
Step-by-step explanation:
To calculate the constant voltage that must be applied to reduce the current to 0 at t=0.8s, we can use the formula:
V = L * (di/dt)
Where V is the voltage, L is the inductance, and (di/dt) is the rate of change of current. In this case, L = 0.5H and (di/dt) = -80A/0.8s = -100A/s.
Plugging in these values, we get:
V = 0.5H * (-100A/s) = -50V/s = 50V
Therefore, the constant voltage that must be applied is 50V. The correct answer is (A) 50V.