You are trying to become a member of the Physics Olympics team. Your physics professor is training you and some other students by having you compete with each other to solve problems as accurately and quickly as you can. During one session, he springs the RLC circuit shown in Figure P32.47 (page 872) on you. Figure P32.47a shows the circuit with a battery as the energy source. The battery has an emf
- If only switch SL is closed, and switches SC and SR are open, and then switch S is thrown to position b, the time constant of the circuit is τ1 = 0.200 ms. Switch S is returned to position a for a long time.
Figure P32.47
- If only switch SC is closed, and switches SL and SR are open, and then switch S is thrown to position b, the time constant of the circuit is τ2 = 0.050 0 ms. Switch S is returned to position a for a long time.
In Figure P32.47b, an AC source with a variable frequency has been added to the same circuit, and switch S is thrown to position b. Switches SC, SL, and SR are all open. At what angular frequency ω should the AC source be set so that the circuit exhibits resonance? Quick! Get to work!
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Physics for Scientists and Engineers, Volume 2
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