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What is the effect of increasing the inductance (L) in an LR circuit?
It increases the time constant (\(\tau\)), causing the current to change more slowly.
What happens when a switch is closed in an LR circuit?
The current starts to increase, and the inductor generates a back emf that opposes the change in current.
What is the effect of energy dissipation in resistors in an LR circuit?
It leads to a decrease in the inductor's stored energy over time, as the energy is converted to heat.
What happens to an LR circuit after a very long time?
The inductor acts like a short circuit, and the current reaches its maximum value, determined by the battery's emf and the resistance.
What is the effect of increasing the resistance (R) in an LR circuit?
It decreases the time constant (\(\tau\)), causing the current to reach its steady-state value more quickly and reduces the maximum current.
What happens when the current changes in an LR circuit?
The inductor induces an emf that opposes the change in current, according to Lenz's Law.
Label the components in a simple LR circuit diagram.
1: Battery (\(\mathcal{E}\)), 2: Resistor (R), 3: Inductor (L), 4: Switch
What is inductance (L)?
A property of a circuit element that opposes changes in current, measured in henries (H).
What is a resistor?
A circuit element that opposes the flow of current, dissipating energy as heat.
Define the time constant (\(\tau\)) in an LR circuit.
The time it takes for the current in an LR circuit to reach approximately 63% of its final value during charging or to decrease to 37% of its initial value during discharging.
What is transient state in an LR circuit?
The initial period after a change (like closing a switch) when current and voltage are changing rapidly.
What is steady state in an LR circuit?
The state after a long time when current and voltage have stabilized and no longer change.
What is Kirchhoff's Loop Rule?
The sum of the voltage drops around any closed loop in a circuit must equal zero. \(\sum V = 0\)