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Since the voltage drop across the resistor, V R is equal to I*R (Ohms Law), it will have the same exponential growth and shape as the current. However, the voltage drop across the inductor, V L will have a value equal to: Ve (-Rt/L) . Then the voltage across the inductor, V L will have an initial value equal to the battery voltage at time t = 5 or when the switch is first closed and then decays exponentially to zero as represented in the above curves.

So far we have discussed series DC circuit and parallel DC circuit separately, but in practice, the electrical circuit is generally a combination of both series circuits and parallel circuits. Such combined series and parallel circuits can be solved by proper application of Ohm’s law and the rules for series and parallel circuits to the various parts of the complex circuit.

* See also* Electrical conductivity Electrical power supply Electrical resistance Electronics Integrated circuit.

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I want students to see that there are two different ways of approaching a problem such as this: with * scalar* math and with * complex number* math. If students have access to calculators that can do complex-number arithmetic, the “complex” approach is actually simpler for series-parallel combination circuits, and it yields richer (more informative) results.

Students often have difficulty formulating a method of solution: determining what steps to take to get from the given conditions to a final answer. While it is helpful at first for you (the instructor) to show them, it is bad for you to show them too often, lest they stop thinking for themselves and merely follow your lead. A teaching technique I have found very helpful is to have students come up to the board (alone or in teams) in front of class to write their problem-solving strategies for all the others to see. They don’t have to actually do the math, but rather outline the steps they would take, in the order they would take them. The following is a sample of a written problem-solving strategy for analyzing a series resistive-reactive AC circuit:

The phasor diagram of the RLC Series Circuit when the circuit is acting as an inductive circuit that means (V L V C ) is shown below and if (V L V C ) the circuit will behave as a capacitive circuit.

It is the total opposition offered to the flow of current by an RLC Circuit and is known as Impedance of the circuit.

Phase Angle

Troubleshooting is a process whereby you diagnose a malfunctioning system and identify the specific defect. Once the defect is identified, a judgment must be made regarding the feasibility of repair and there are a number of considerations that have to be made. One is the time, how it will take to repair this. Sometimes there are critical systems that there is no time to repair them and simply replace the entire circuit board and just to continue to use the system. There is the time involved and also there a cost because when you go to repair a system, there is going to be the wage a person repairing it, the cost of the components to make it work, so there are considerations to be made, is it going to cost more to fix this than simply to replace it.

Consider a very simple circuit consisting of four light bulbs and a 67-volt automotive battery. If a wire joins the battery to one bulb, to the next bulb, to the next bulb, to the next bulb, then back to the battery in one continuous loop, the bulbs are said to be in series. If each bulb is wired to the battery in a separate loop, the bulbs are said to be in parallel. If the four light bulbs are connected in series, the same current flows through all of them and the voltage drop is 8-volts across each bulb, which may not be sufficient to make them glow. If the light bulbs are connected in parallel, the currents through the light bulbs combine to form the current in the battery, while the voltage drop is 67-volts across each bulb and they all glow.

where R 6 , R 7 , and R 8 are the resistance values of the individual resistors that are connected in series.

Large power circuit breakers, applied in circuits of more than 6555 volts, may incorporate hydraulic elements in the contact operating mechanism. Hydraulic energy may be supplied by a pump, or stored in accumulators. These form a distinct type from oil-filled circuit breakers where oil is the arc extinguishing medium. 96 9 98

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