Series Resistance Assignment Help

Assignment Help: >> DC Circuit Calculations - Series Resistance

Series Resistance:

The total resistance within a series circuit is equivalent to the sum of all the parts of that circuit, as shown in equation (2-3).

RT = R1 + R2 + R3  ... etc.       (2-3)

where

RT        =          resistance total

R1, R2, and R3 =       resistance in series

Example: A series circuit has a 60, a 10, and a 150 resistor in series. What is the overall resistance of the circuit?

Solution:

RT = R1 + R2 + R3  

=          60 + 100 + 150

=          310

2306_Series Resistance.png

Figure: Resistance in a Series Circuit

The total voltage across a series circuit is equivalent to the sum of the voltages across every resistor in the circuit that was shown in the Figure as display in equation (2-4).

VT = V1 + V2 + V3  ... etc                             (2-4)

Where

VT = total voltage

V1= voltage across R1

V2= voltage across R2

V3= voltage across R3

2049_Series Resistance.png

Figure: Voltage Drops in a Series Circuit

Ohm's law may now be applied to the entire series circuit or to individual component parts of the circuit. When used on individual component elements, the voltage across which part is equivalent to the current times the resistance of that part.  For the circuit display in Figure, the voltage could be determined as display below.

V1 = IR1

V2 = IR2

V3 = IR3

VT = V1 + V2 + V3

VT = 10 volts + 24 volts + 36 volts

VT = 70 volts

2417_Series Resistance1.png

Figure: Voltage Total in a Series Circuit

To search the total voltage across a series circuit, multiply the current through the total resistance as display in equation (2-5).

VT = IRT                                                          (2-5)

where

VT = total voltage

I = current

RT =    total resistance

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