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Perform the following for natural response of a RL circuit described below: EE 2423 Homework #7 ***Due November 15th at 11:59PM via online Blackboard submission *** Problem 1. Perform the following for natural response of a RL circuit described below: 50 t-0 300 20V 5mH a) Determine the time constant T (after the switch occurs) b) Determine the initial current I c) Determine i(t) d) Determine v(t) e) Plot v(t), i(t), p(t), w(t)
A series resistor-inductor-capacitor circuit (see Fig. 1) can be described as a linear system, in which, for constant voltage, the current across the components follows the equation Ꭱ d . 291(t) + (t) + 'I dt 17 1 DV Cl(t) = 1 + (1) where I is the current, R the resistance, L the inductance, C the capacitance and dv/dt the rate of change of the voltage at the power source. Consider the case that the circuit is equipped with...
raw the combined series-parallel circuit as a simple circuit. Determine & include on Simple Circuit Schematic: Vi. I. Ry&P A series-parallel combination circuit (100 )(2SO)--11.43A oor 2S0 250 ? 350 ? R3 R, 200 ? 12 3 sor 2oo
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
A series RL circuit is excited by a unit ramp voltage source. Assuming zero initial conditions, [find and SKETCH the loop current i(t) for t ≥ 0]. Show all steps. *PLZ DO NOT FORGET DO GRAPH THE ANSWER
A series RL circuit with L = 3.00 H and a series RC circuit with C = 3.00 F have equal time constants. If the two circuits contain the same resistances R, (a) what is the value of R and (b) what sit the time constant?
A series RL circuit with L = 3.80 H and a series RC circuit with C = 3.80 pF have equal time constants. The two circuits contain the same resistance R. (a) What is the value of R? k ohm (b) What is the time constant? ms
5. (4) Consider an RL circuit that can initially be thought of as containing an ideal battery of voltage 2.10 V, an ideal resistor of resistance 910 Ω and an ideal inductor of inductance 77.50 mH. (a) Another ideal inductor, of inductance 125.0 mH, is added in series. Find the new equivalent inductance and the new time constant for the circuit. (b) The circuit is closed at t=0. Sketch the behaviour of the voltage across the resistor and the voltage...
9. Consider the RL circuit given in the figure. The switch is opened at time t = 0 after it had been closed for a long time. a) How long will it take for the current in the inductor to drop to 25% of its initial value? b) How long will it take for the energy in the inductor to drop to 25% of its initial value? Switch 200 unit of L my i 3150 80.5H BS 12 V
For a single-phase ac supply, and using a series RL circuit diagram, draw the phasor diagram for the RL circuit using the voltage as the reference and show the power factor angle.Also show with a phasor diagram how a capacitor connected across the series RL circuit will reduce the power factor angle and total current.