College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An Alternating Current (AC) circuit has frequency v = 60 Hz. In such circuit there are 3 elements. The first one is a long thin solenoid with 4 × 104 turns/m, length of 10.0 cm and a cross-sectional area of 20.0 cm². The second one is a resistor with resistance R = 10.02. The third one is a parallel-plate capacitor is composed of two circular plates with radius 10.0 cmseparated by a gap of 0.05 mm. a) Calculate the angular frequency, w, of the circuit. b) Calculate the self inductance of such inductor and the inductive reactance. c) Calculate the capacitance of such device and the capacitive reactance. d) Draw the following functions on the same graph. Represent them as closely as possible to reality using the values you calculated so far. Use the graph on the back. IR cos (@t) VR IXL COS (@t+. VL = IXL COS VC = IXc cos wt- - - 元|2 元|2arrow_forwardInitially, an inductor with no resistance carries a constant current. Then the current is brought to a new constant value twice as large. After this change, when the current is constant at its higher value, what has happened to the emf in the inductor?arrow_forwardIf you triple the inductance of an inductor, by what factor will the amount of energy it can store increase?arrow_forward
- A series circuit consists of a resistor with R = 20 02, an inductor with L = 1 H, a capacitor with C = 0.01 F, and a 18-volt battery. If the initial charge and current are initially both 0, find the charge and current at time t. charge current Q(t) = I(t)= 18te 10t Xarrow_forwardIn a DC circuit, at t=infinity, an inductor appears to be a(n) ________ circuit. In an RL circuit, where the inductor is initially uncharged, the initial current is _________ amps.arrow_forwardAn RLC circuit consists of a 1.34 2 resistor, a 8.44 nF capacitor, and a 5.55 mH inductor. Initially, the voltage across the capacitor is 1.46 V, and no current is flowing in the circuit. How many oscillations occur as the charge amplitude on the capacitor decays to 67.4% of its initial value? It is acceptable to let w' = w. i oscillations (include decimals if needed to keep the appropriate number of significant digits in your answer)arrow_forward
- A 10 -mH inductor and a 25 MF (micro F) capacitor are connected in parallel. The combination is in series with a resistor and a 15 Ohm resistor and 10V, 160Hz emf. (a) What is the current through the resistor? (b) What is the phase angle?arrow_forwardIn a home stereo system, low sound frequencies are handled by large “woofer” speakers, and high frequencies by smaller “tweeter” speakers. For the best sound reproduction, low-frequency currents from the amplifier should not reach the tweeter. One way to do this is to place a capacitor in series with the 8.0 Ω resistance of the tweeter; one then has an RLC circuit with no inductor L (that is, an RLC circuit with L = 0). What value of C should be chosen so that the current through the tweeter at 200 Hz is half its value at very high frequencies?arrow_forwardIn the analogy between an RLC circuit and a mass on a spring moving through a viscous fluid, which element in the RLC circuit represents the spring? O the resistor O the capacitor O the inductor O the power supplyarrow_forward
- In a standard RLC circuit that we are looking at R = 0.075 Ω , L = 1.2 H and C = 1.6 F. The initial charge carries by the capacitor is Q0 = 0.045 C. The switch is closed at time t = 0. Calculate the value of Q, in coulombs, at time t = 1s.arrow_forwardIn a home stereo system, low sound frequencies are handled by large "woofer" speakers, and high frequencies by smaller "tweeter" speakers. For the best sound reproduction, low-frequency currents from the amplifier should not reach the tweeter. One way to do this is to place a capacitor in series with the 9.0 Ω resistance of the tweeter; one then has an RLC circuit with no inductor L (that is, an RLC circuit with L = 0). What value of C should be chosen so that the current through the tweeter at 200 Hz is half its value at very high frequencies?arrow_forward
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