An oscillating LC circuit has an inductance of 3.21 mH and a capacitance of 10.6 uF. Calculate the (a) angular frequency and (b) period of the oscillation. (c) At time t = 0, the capacitor is charged to 208 µC and the current is zero. Calculate the charge on the capacitor at time t= 0.35 ms.
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- In an oscillating LC circuit, the total stored energy is (4.6540x10^-1) J and the maximum charge on the capacitor is (4.139x10^-5) C. When the charge on the capacitor has decay to (3.68x10^-6) C, what is the energy stored in the inductor? Express your result in mJ with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible.In an oscillating LC circuit in which C = 4.5 μF, the maximum potential difference across the capacitor during the oscillations is 1.5 V and the maximum current through the inductor is 52.8 mA. What are (a) the inductance L and (b) the frequency of the oscillations? (c) How much time is required for the charge on the capacitor to rise from zero to its maximum value?You have an inductor-capacitor circuit whose resonant period is 0.20 ms. The inductor is a solenoid of enclosed volume 12 cm³ with a self-inductance is 0.025 mH, and it has a maximum current of 2.4 A. The capacitor is a pair of parallel plates which enclose a volume of 18 cm³. inductor tun?
- A sinusoidal voltage Δv = 45.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 µF, and R = 60.0 Ω. e) What If? For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle ? as that found in part (d)? f) What would be the maximum current (in A) in the circuit in this case?A capacitor of capacitance 158 mF and an inductor form an LC circuit that oscillates at 8.15 kHz, with a current amplitude of 4.21 mA.What are (a) the inductance, (b) the total energy in the circuit, and (c) the maximum charge on the capacitor?In an oscillating LC circuit in which C = 3.5 µF, the maximum potential difference across the capacitor during the oscillations is 1.7 V and the maximum current through the inductor is 57.5 mA. What are (a) the inductance L and (b) the frequency of the oscillations? (a) Number i Units H. (b) Number i Units Hz
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- The charge on the capacitor of an LC circuit with capacitance C and inductance L obeys the following equation. Find the maximum current in the circuit. q= Q cos [t/(LC)0.5] Q Q/(LC) 0.5 zero QQ²/(LC) 0.5 imax 1/(LC) 0.5A 2.8 kg body oscillates in SHM on a spring that, when extended 5.4 mm from its equilibrium position, has an 8.2 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 5.8 H?