Switched RL Series Circuit#

Consider the \(RL\) circuit shown below.

../../../../../_images/fig_OSUPv2p14_52.png

Here, \({\boldsymbol \varepsilon} = {{ params.emf }}\rm\ V\), \(L = {{ params.L }}\rm\ mH\), and \(R = {{ params.R }}\rm\ \Omega\).

Part 1#

Determine the time constant of the circuit.

Answer Section#

Please enter in a numeric value in \(\rm\ s\).

Part 2#

Immediately after switch \(\rm S\) is closed, what is the initial current through the resistor?

Answer Section#

Please enter in a numeric value in \(\rm\ A\).

Part 3#

What is the final current through the resistor?

Answer Section#

Please enter in a numeric value in \(\rm\ A\).

Part 4#

What is the current through the resistor when \(t = t^{\star} = {{ params.num }} \tau_L\)?

Answer Section#

Please enter in a numeric value in \(\rm\ A\).

Part 5#

What is the voltage across the inductor when \(t = t^{\star} = {{ params.num }} \tau_L\)?

Answer Section#

Please enter in a numeric value in \(\rm\ V\).

Part 6#

What is the voltage across the resistor when \(t = t^{\star} = {{ params.num }} \tau_L\)?

Answer Section#

Please enter in a numeric value in \(\rm\ V\).

pl-submission-panel#





pl-answer-panel#

\(\tau_L =\) \(\rm\ s\)
\(I\_{R,\rm\ i} =\) \(\rm\ A\)
\(I\_{R,\rm\ f} =\) \(\rm\ A\)
\(I_R(t^{\star}) =\) \(\rm\ A\)
\(V_L(t^{\star}) =\) \(\rm\ V\)
\(V_R(t^{\star}) =\) \(\rm\ V\)

Attribution#

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.