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You are watching: What is the net resistance of the circuit connected to the battery in (figure 1)?

Series Circuit

A collection circuit is one with all the tons in a row. There is only ONE route for the power to flow. If this circuit to be a string of irradiate bulbs, and also one blew out, the remaining bulbs would revolve off.



Select the rule listed below to check out an increased explanation

"1. The same existing flows through each part of a collection circuit."

In a series circuit, the amperage at any suggest in the circuit is the same. This will aid in calculating circuit values using Ohm"s Law.

You will an alert from the diagram that 1 amp continually flows with the circuit. We will get to the calculations in a moment.


"2. The full resistance of a series circuit is equal to the sum of individual resistances."

In a series circuit you will have to calculate the full resistance of the circuit in order to figure out the amperage. This is excellent by adding up the individual values of each component in series. In this instance we have three resistors. To calculate the total resistance we usage the formula:

RT = R1 + R2 + R3 2 + 2 + 3 = 7 Ohms R complete is 7 Ohms

Now with these 2 rules we can learn just how to calculate the amperage that a circuit. Remember indigenous Ohms legislation that i = V / R. Now we will modify this slightly and say i = V / R total.

Lets follow our example figure:

RT = R1 + R2 + R3 RT = 7 Ohms ns = V / RT ns = 12V / 7 Ohms i = 1.7 Amp

If we had the amperage currently and want to recognize the voltage, we deserve to use Ohm"s regulation as well.

V = ns x R full V = 1.7 A x 7 Ohms V = 12 V

"Voltage Drops"

Before us go any type of further let"s specify what a "voltage drop" is. A voltage autumn is the amount the voltage lowers as soon as crossing a component from the negative side come the optimistic side in a collection circuit. If you put a multimeter throughout a resistor, the voltage drop would be the quantity of voltage you space reading. This is pictured v the red arrow in the diagram.


Say a battery is supplying 12 volts come a circuit of two resistors; each having a worth of 5 Ohms. According to the previous rule we figure out the total resistance.:

RT = R1 + R2 = 5 = 5 = 10 Ohms

Next us calculate the amperage in the circuit:

i = V / RT = 12V / 10 Ohms = 1.2 Amp

Now the we know the amperage for the circuit (remember the amperage walk not adjust in a collection circuit) we have the right to calculate what the voltage drops throughout each resistor is making use of Ohm"s law (V = i x R).

V1 = 1.2A x 5 Ohms = 6 V V2 = 1.2A x 5 Ohms = 6V

"3. Voltage used to a collection circuit is equal to the amount of the separation, personal, instance voltage drops."

This simply means that the voltage drops have actually to include up come the voltage comes from the battey or batteries.

V complete = V1 + V2 + V3 ...

In our instance above, this method that

6V + 6V = 12V.

"4. The voltage drop throughout a resistor in a series circuit is straight proportional to the dimension of the resistor."

This is what we defined in the Voltage Drop ar above.

Voltage autumn = existing times Resistor size.


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If the circuit is damaged at any kind of point, no present will flow."

The best method to illustrate this is with a cable of irradiate bulbs. If one is scorched out, the totality thing stop working.