A coil with an inductance of 2.0 H and a resistance of 10Ωis suddenly connected to an ideal batt

step 1 Okay, so we have a coil with a particular resistance and inductance. We're trying to figure out

A coil with an inductance of 2.0 H and a resistance of 10Ωis...

A coil with an inductance of 2.0 $\mathrm{H}$ and a resistance of 10$\Omega$ is
suddenly connected to an ideal battery with $\mathscr{E}=100 \mathrm{V}$ (a) What is
the equilibrium current? (b) How much energy is stored in the
magnetic field when this current exists in the coil?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

RL Circuit Behavior at Equilibrium

In an RL circuit, when the circuit reaches equilibrium, the transient effects due to the inductor cease, and the circuit behavior can be analyzed under steady-state conditions. At equilibrium, the inductor acts as a short circuit, meaning its voltage drop becomes zero, and the current is determined solely by the resistance in the circuit.

Ohm's Law in Electric Circuits

Ohm's Law is a fundamental principle that relates voltage, current, and resistance in a circuit. In steady state, the current flowing through a resistor connected to a voltage source is given by I = V/R. This principle is essential when determining the equilibrium current in circuits with resistors.

Magnetic Energy Storage in Inductors

Inductors store energy in their magnetic fields when current flows through them. The energy stored in an inductor is given by the formula U = (1/2)L I², where L is the inductance and I is the current. This concept is crucial for analyzing how energy is accumulated and later released in inductive components.

Transcript

Please give Ace some feedback