Consider the circuit shown in (Figure 1). Suppose that C = 15.0 nF, L = 27.0 mH , and R = 74.0 Ω. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An underdamped l-r-c series circuit. Figure1 of 1 A rectangular circuit has three horizontal branches connected in parallel by wires on the left and by a switch S on the right. The switch currently connects the top branch with the middle branch at point d, but it can instead connect the top branch with the bottom branch at point 'a'. The top branch contains a battery with its positive terminal on the left. The middle branch contains a capacitor C with positive charge q on its left plate, and negative charge q on the right plate. The bottom branch contains a resistor R on the right and an inductor L on the left. Current i moves to the left in the inductor. The left side of the inductor is connected to the circuit wire at point c. The right side of the inductor is connected to the left side of the resistor at point b. Point 'a' is on the right side of the resistor. Part A: Calculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point a. Part B: How long will it take for the amplitude of the oscillation to decay to 10.0 % of its original value? Part C: What value of R would result in a critically damped circuit
Consider the circuit shown in (Figure 1). Suppose that C = 15.0 nF, L = 27.0 mH
, and R = 74.0 Ω. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An underdamped l-r-c series circuit.
Figure1 of 1
A rectangular circuit has three horizontal branches connected in parallel by wires on the left and by a switch S on the right. The switch currently connects the top branch with the middle branch at point d, but it can instead connect the top branch with the bottom branch at point 'a'. The top branch contains a battery with its positive terminal on the left. The middle branch contains a capacitor C with positive charge q on its left plate, and negative charge q on the right plate. The bottom branch contains a resistor R on the right and an inductor L on the left. Current i moves to the left in the inductor. The left side of the inductor is connected to the circuit wire at point c. The right side of the inductor is connected to the left side of the resistor at point b. Point 'a' is on the right side of the resistor.
Part A: Calculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point a. Part B: How long will it take for the amplitude of the oscillation to decay to 10.0 %
of its original value? Part C: What value of R would result in a critically damped circuit?
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