If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, RT is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.

You can find total resistance in a Parallel circuit with the following formula: 1/Rt = 1/R1 + 1/R2 + 1/R3 +… If one of the parallel paths is broken, current will continue to flow in all the other paths.

When resistors are connected one after each other this is called connecting in series. This is shown below. To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: Rtotal = R1 + R2 +R3 and so on.

If you know the total current and the voltage across the whole circuit, you can find the total resistance using Ohm’s Law: R = V / I. For example, a parallel circuit has a voltage of 9 volts and total current of 3 amps. The total resistance RT = 9 volts / 3 amps = 3 Ω.

The resistance formula is as follows: Resistance = voltage drop across a resistor/ current flowing through a resistor. R = IV. R = resistance (Ohms, Ω) V = voltage difference which is between the two ends of a resistor (Volts, V)

The sum of the current in each individual branch is equal to the current outside the branches. The equivalent or overall resistance of the collection of resistors is given by the equation 1/Req = 1/R1 + 1/R2 + 1/R3 …

However, if you had a huge and complicated circuit with many resistors, then the effective resistance is the total resistance of the circuit. Effective resistance is usually measured between 2 points. In the figure above, the effective resistance is generally defined as the total resistance across the battery.

The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated. Essentially, the circuit is designed either in Series or Parallel. Electrical resistance shows how much energy one needs when you move the charges/current through your devices.

Lesson Summary More resistance means less current is flowing through the circuit. Equivalent resistance is a different way of indicating ‘total’ resistance, which we calculate differently for series and parallel circuits. In a series circuit, the different components are connected in a single, continuous loop.

When resistors are connected in parallel, more current flows from the source than would flow for any of them individually, so the total resistance is lower.

For a circuit with resistances R1 and R2 in series or in parallel as in Figure 2, the effective resistance can be calculated by using the following rules. Rab = R1 + R2. Proof.

How do I identify which ones are parallel or series? If all of the current leaving one resistor enters another resistor, the two resistors are in series. If all of the voltage across one resistor is across another resistor, the two resistors are in parallel. Two resistors on the same path are in series.

Two resistor are in parallel if the nodes at both ends of the resistors are the same. If only one node is the same, they are in series. So, R1 and R2 are in parallel and R3 is in series with R1||R2.

Strategy for simplifying a resistor network

1. Begin as far away as possible from the circuit location in question.
2. Replace series or parallel resistors with their equivalent resistor.
3. Continue, moving left until a single equivalent resistor represents the entire resistor network.

Changing the resistance

1. If you increase the number of lamps in a series circuit , there will be less current.
2. You could increase or decrease the resistance in a circuit by using a variable resistor .
3. The quantities voltage, current and resistance are linked by the relationship :
4. This relationship is called Ohm’s Law.

As the completed chart above shows, the voltage, current, and resistance of each resistor within the system are now known. Using this method of simplifying circuits is helpful in determining the properties of individual resistors within a complex circuit.

A drawing meant to depict what the physical arrangement of the wires and the components they connect is called “artwork” or “layout” or the “physical design.” Circuit diagrams are used for the design (circuit design), construction (such as PCB layout), and maintenance of electrical and electronic equipment.

Every circuit is comprised of three major components:

• a conductive “path,” such as wire, or printed etches on a circuit board;
• a “source” of electrical power, such as a battery or household wall outlet, and,
• a “load” that needs electrical power to operate, such as a lamp.

A schematic, or schematic diagram, is a representation of the elements of a system using abstract, graphic symbols rather than realistic pictures. Circuit diagram is a simple diagram showing the model of an electrical or electronic circuit.

The three basic components are a source of voltage, a conductive path, and a resistor.

A wiring diagram is a simplified conventional pictorial representation of an electrical circuit. It shows the components of the circuit as simplified shapes, and the power and signal connections between the devices.

disadvantages include the split of an energy source across the entire circuit, and lower resistance. Parallel circuits are those that have more than one outputdevice or power source. For electricity to flow, they utilize more than one path.

The first disadvantage is that, if one component in a series circuit fails, then all the components in the circuit fail because the circuit has been broken. The second disadvantage is that the more components there are in a series circuit, the greater the circuit’s resistance*.

we can add more power devices, they have a higher output in terms of voltage . 4. The current that flows in a series circuit has to flow through every component in the circuit. Therefore, all of the components in a series connection carry the same current.

When batteries are hooked up In series, the voltage is increased. For example, two – 6 Volt batteries connected in series produce 12 Volts. When batteries are hooked up in parallel, the voltage remains the same, but the power (or available current) is increased. This means that the batteries would last longer.

Technically, there’s no limit, but there is at least one caveat… No two batteries will have EXACTLY the same terminal voltages. That means, even for two batteries hardwired together, the slightly higher-voltage one will end up ‘charging’ the slightly lower voltage one.

8. Which is the most cost efficient connection? Explanation: The advantage of series-connections is that they share the supply voltage, hence cheap low voltage appliances may be used.

Connecting batteries in parallel increases total current capacity by decreasing total resistance, and it also increases overall amp-hour capacity. All batteries in a parallel bank must have the same voltage rating. Batteries can be damaged by excessive cycling and overcharging.