An electric circuit contains an 8 ohm resistor in series with an inductor of 0.50 henries and a battery of E volts. At t=0 the current is zero. Find the current at any time t > 0 and the maximum current if E = 64sin8t
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An electric circuit contains an 8 ohm resistor in series with an inductor of 0.50 henries and a battery of E volts. At t=0 the current is zero. Find the current at any time t > 0 and the maximum current if E = 64sin8t
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- You are a journeyman electrician working in an industrial plant. Your task is to connect an inductor to a 480-V, 60-Hz line. To determine the proper conductor and fuse size for this installation, you need to know the amount of current the inductor will draw from the line. The nameplate on the inductor indicates that it has an inductance of 0.1 H. An ohmmeter reveals that it has a wire resistance of 10 . How much current should this inductor draw when connected to the line?Derive an expression for the electrical energy stored in a capacitor of capacitance C when charged to a potential difference V. If C = 2µF and V= 4V, calculate(l.) the final energy stored in the capacitor,(II.) the work done by the battery in the charging process Account for any difference between your answers in parts (I) and (II) abovecapacitor having capacitance of 10uF is connected with 1k ohm resistor in series. The switch of the DC supply of 10 Volts, closes at t = 0. Compute the following a. Draw a circuit diagram for t- and t+ b. Compute the time constant c. Plot the Voltage with respect to time, showing the behavior of capacitor charging(take at least 10 values of time in seconds to draw a graph).
- A circuit with a supply voltage of 2.5 V is being powered through a package. The packagehas a resistance of 100 m and a certain inductance L. The circuit requires at least 2.25 Vto function correctly. If this voltage is required in a time of 1ns, calculate the effectiveinductance L for the package.The figure shows an electrical circuit with an ideal source ε1 = 12 [V], a real source ε2 = 9 [V] and r1 = 1 [Ω], eight resistors and two capacitors. Switches A and B areThey are originally open and the charge on the capacitors is zero. If at t = 0 [s] switch A opens and switch B closes, determine:d) The potential difference of resistor R8 at t = 2.6 [s].e) The time required for the potential difference of the equivalent capacitor to reach the maximum possible value. Justify your answer.Many electric cars can capture the kineticenergy of the car and store it in a capacitor or a battery by means ofan electric generator. If a 1380-kg electric car brakes from 11.0 m>sto rest and charges a capacitor to 202 V, what capacitance is neededto store all of the car’s kinetic energy?
- A 150-volt electromotive force is applied to an RC-series circuit in which the resistance is 1500 ohm and the capacitance is 5 micro Farad (uF). If q(0)=0, find the charge and current at t=0.005 s. charge: q = micro Farad (uF) current: i = milli ampere (mA) Determine the charge as t approaches infinity. charge: q= micro Farad (uF)8.3 For a Si solar cell, the dark saturation current is 2 μA and the short circuit cur- rent is 150 mA. When it is optically illuminated, the optically generated current is 0.1 mA. Find the corresponding voltage at current of 100 mA. please tell me his problem in detail1. For the network shown in Figure 1:(a) Determine the mathematical expressions for the variation of the current in the inductor following the closure of the switch at t = 0 on to position 1.(b) When the switch is closed on to position 2 at t = 100 ms, determine the new expression for the inductor current and for the voltage across R.(c) Plot the current waveforms for t: 0 to t = 200 ms.
- A 0.8-F capacitor is connected in series with a 7-ohm resistor. If the connection is energized from a 10-V DC source, determine which among the following is a differential equation describing the circuit? Let q be the amount of charge in the circuit at any time t.A resistance of 10 ohm, an inductor of 300 mH and a capacitor of 50 uF are connected in series. If the AC voltage supplied to the connection is given by v = 300 sin (2 π 50 t + 30), write the equation for the current.2. A parallel plate capacitor with a plate area of 0.13 square meters separated by 1 mm is charged to 9 Volts by a battery, which is then disconnected. The plate separation is then increased to 40 mm.A. Using the expression for the capacitance of a parallel plate capacitor, what do you expect the new potential difference across the plates to be after the increase?B. Suppose you measure the potential difference across the plates after the separation and find it to be 30 V (this should be very different from what you found in part A). This unexpected result can be explained by the effects of “stray capacitance” with nearby objects. Assuming that the stray capacitance can be modeled as a capacitor connected in parallel with the parallel plate capacitor, find the value of this stray capacitance.