Is the RLC Circuit in Resonance?

[Loke]

-Is the RCL circuit in resonant? Explain
-Given that C is equal to 2X10^-3F, find inductance, L.

problems:
-Is f_o equal to 1...because the maximum value in the graph at t=1?
-from the graph,how to know that the graph is resonant or not?...can i say that because the current and the voltage reaches it peaks at the same instant ...that's y they are in phase = resonant ?

please advice.

 

[n.karthick]

--- f₀ is not equal to 1. It is the reciprocal of time at which the sine waveform repeats itself. From graph you can see the time period is 4 ms.

--- your way of thinking is correct about a resonant circuit.

 

[Loke]

you meant the resonance frequency,fo = 1/T = 1/(4x10^-3) =250s^-1 ?