Question

5. Suppose a resonator (transmission line shorted at both ends) is fed (by an external generator) an input power $P_{in}$. a. Using time averaged equations write a differential equation for the electromagnetic energy stored in the line U. Note this equation will involve $dU/dt$, U, Q, and $\omega$. Note this is an average over one period at $\omega$ and this is a resonant frequency. b. Solve the differential equation for U and find the time it takes to get to 95% of the steady state energy stored.

          5. Suppose a resonator (transmission line shorted at both ends) is fed (by an external
generator) an input power $P_{in}$.
a. Using time averaged equations write a differential equation for the
electromagnetic energy stored in the line U. Note this equation will involve $dU/dt$,
U, Q, and $\omega$. Note this is an average over one period at $\omega$ and this is a resonant
frequency.
b. Solve the differential equation for U and find the time it takes to get to 95% of the
steady state energy stored.

5. Suppose a resonator (transmission line shorted at both ends) is fed (by an external
generator) an input power Pin.
a. Using time averaged equations write a differential equation for the
electromagnetic energy stored in the line U. Note this equation will involve dU/dt,
U, Q, and ω. Note this is an average over one period at ω and this is a resonant
frequency.
b. Solve the differential equation for U and find the time it takes to get to 95% of the
steady state energy stored.

Added by Emilia B.

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