An L-R-C series circuit has L = 0.600 H and C = 3.00 mF. (a) Calculate the angular frequency of oscillation for the circuit when R = 0.
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1
Identify the formula for the angular frequency of oscillation in an L-R-C series circuit without resistance (R=0), which is given by \( \omega = \frac{1}{\sqrt{LC}} \), where L is the inductance and C is the capacitance.
Convert the capacitance from millifarads to farads. Recall that 1 mF = 0.001 F.
Substitute the values of L and C into the formula. Ensure that the units of L are in henries (H) and C are in farads (F).
Calculate the square root of the product LC.
Compute the reciprocal of the square root obtained in the previous step to find the angular frequency \( \omega \).