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You are watching: The total resistance of a 10 ohm resistor and a 7 ohm resistor in series is

Series Circuit

A series circuit is one with all the loads in a row. There is only ONE path for the electricity to flow. If this circuit was a wire of irradiate bulbs, and also one go out out, the continuing to be bulbs would turn off.



Select the rule listed below to see an increased explanation

"1. The same present flows with each component of a collection circuit."

In a collection circuit, the amperage at any suggest in the circuit is the same. This will help in calculating circuit values utilizing Ohm"s Law.

You will notification from the diagram that 1 amp continually flows v the circuit. Us will obtain to the calculations in a moment.


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

In a collection circuit friend will have to calculate the total resistance the the circuit in stimulate to figure out the amperage. This is excellent by adding up the individual worths of each component in series. In this example we have three resistors. To calculation the total resistance we usage the formula:

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

Now with these two rules we have the right to learn just how to calculate the amperage of a circuit. Remember indigenous Ohms regulation that ns = V / R. Currently we will modify this slightly and say ns = V / R total.

Lets follow our example figure:

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

If we had the amperage already and want to recognize the voltage, we have the right to use Ohm"s legislation as well.

V = ns x R total 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 drop is the quantity the voltage lowers as soon as crossing a ingredient from the negative side to the positive side in a series circuit. If you placed a multimeter throughout a resistor, the voltage drop would certainly be the quantity of voltage you space reading. This is pictured v the red arrowhead in the diagram.


Say a battery is supplying 12 volts to a circuit of 2 resistors; each having actually a value of 5 Ohms. According to the previous rule we figure out the total resistance.:

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

Next we calculate the amperage in the circuit:

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

Now the we understand the amperage because that the circuit (remember the amperage does not change in a series circuit) we deserve to calculate what the voltage drops throughout each resistor is making use of Ohm"s regulation (V = ns x R).

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

"3. Voltage applied to a collection circuit is same to the amount of the individual voltage drops."

This simply means that the voltage drops have actually to add up to the voltage coming from the battey or batteries.

V complete = V1 + V2 + V3 ...

In our instance above, this means that

6V + 6V = 12V.

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

This is what we explained in the Voltage Drop section above.

Voltage fall = existing times Resistor size.


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If the circuit is broken at any type of point, no existing will flow."

The best method to show this is with a cable of light bulbs. If one is burned out, the totality thing stop working.