Final answer:
To represent the circuit, draw a diagram with a resistor labeled as R and an inductor labeled as L. Calculate the magnitude of the voltage and current at time t₀ using the given energy and rate of increase. Use the formula V = L * (dI/dt) to determine the voltage and the right-hand rule to determine the current direction.
Step-by-step explanation:
To represent the circuit, we can draw a simple diagram with a resistor in series with the inductor. The resistor can be labeled as R and the inductor as L. The positive terminal of the inductor should be marked with a + sign.
At time t₀, the energy in the inductor is 200 joules and is increasing at a rate of 100 joules per second. We can use the formula for the energy stored in an inductor, E = 0.5 * L * I², where E is the energy, L is the inductance, and I is the current. We know the energy and the inductance, so we can solve for the current.
Voltage across the inductor can be determined from V = L * (dI/dt). Since the current is increasing at a rate of 100 joules per second, we can find the voltage by substituting the values into the formula. To determine if the current enters or leaves the positive terminal, we can use the right-hand rule. If the current flows in the same direction as the counterclockwise loop of the circuit, it enters the positive terminal of the inductor.
Therefore, the magnitude of the voltage and current of the inductor at time t₀ can be calculated using the given information and formulas.