Is the circuit overdamped, underdamped, or critically damped
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B)Is the circuit overdamped, underdamped, or critically damped?
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- Would you use a large inductance or a large capacitance in series with a system to filter out low frequencies, such as the 100 Hz hum in a sound system? Explain.You are given a fixed length of wire. How would you shape it to get the a) greatest, b) the least self-inductance?In a damped oscillating circuit the energy is dissipated in the resistor. The Q-factor is a measure of the persistence of the oscillator against the dissipative loss. (a) Prove that for a lightly damped circuit the energy, U, in the circuit decreases according to the following equation. dU dt = −2βU, where β = R2L . (b) Using the definition of the Q-factor as energy dividedby the loss over the next cycle, prove that Q-factor of a lightly damped oscillator as defined in this problem is Q ≡ Ubegin ΔUone cycle = 1 R L C. (Hint: For (b), to obtain Q, divide E at the beginning of one cycle by the change ΔE over the next cycle.)