Don't Phase Me, Bro
Please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.mit.edu) to authenticate, and then you will be redirected back to this page.
Each of the networks shown below is driven in steady-state by the sinusoidal input voltage/current source depicted. Determine i_R(t), the current through the resistor R.
If it is helpful, note that \displaystyle{1\over j} = -j.
Circuit A
In sinusoidal steady state, i_{\rm R} has the form
A\cos(\omega t + \phi), where A is a positive number (with units of Amps).
Solve for A, \omega, and \phi and enter your answers in the box below.
You may enter your answers as simple Python expressions (which may involve
pi, e, exp, atan, and/or sqrt) or as single numbers accurate to
within 10^{-6}.
Note that there may be multiple possible answers, any correct answer will do.
Circuit B
In sinusoidal steady state, i_{\rm R} has the form
A\cos(\omega t + \phi), where A is a positive number (with units of Amps).
Solve for A, \omega, and \phi and enter your answers in the box below.
You may enter your answers as simple Python expressions (which may involve
pi, e, exp, atan, and/or sqrt) or as single numbers accurate to
within 10^{-6}.
Note that there may be multiple possible answers, any correct answer will do.