An inductor L = 0.025 H and a 40 Ω resistor are connected in series to a 5 volt battery and a switch. At t = 0, the switch is closed to complete the circuit. a) What is the potential difference across the resistor a long time after the switch is closed? b) From the time the switch is closed, how long does it take for the current to reach 63% of the maximum value? c) For a single loop circuit with a 2 Ω resistor, a single battery of 3 V, and a characteristic size (size of the loop) of 15.0 cm, the estimated inductance is 2 ✕ 10−7 H. What is the time constant of this RL circuit?

An inductor L = 0.025 H and a 40 Ω resistor are connected in series to a 5 volt battery and a switch. At t = 0, the switch is closed to complete the circuit.

a) What is the potential difference across the resistor a long time after the switch is closed?

b) From the time the switch is closed, how long does it take for the current to reach 63% of the maximum value?

c) For a single loop circuit with a 2 Ω resistor, a single battery of 3 V, and a characteristic size (size of the loop) of 15.0 cm, the estimated inductance is 2 ✕ 10⁻⁷ H. What is the time constant of this RL circuit?