~ A good day to you learners, welcome back to HHG Inst. ßlog. In this post I'm gonna be showing you how resistance is calculated in different scenarios/situations.
RESISTORS IN SERIES.
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Resistors connected in series
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- When two or more resistors are connected in series the total resistance of the network increases, and so does the energy consumed by each resistor. The resultant resistance can be calculated using the formula below :
R = R1 + R2 + R3......Rn
RESISTORS IN PARALLEL
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| Resistors connected in parallel |
- When two or more resistors are connected in parallel the total resistance of the network decrease. The resultant resistance can be calculated using the relation : PRODUCT
SUM
VOLTAGE DIVIDER
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| A voltage divider |
- This is a combination of two or more resistors in series with the output voltage taking between the resistors.
SERIES-PARALLEL NETWORK.
- When two or more resistors are connected in series and then connected to another set of resistors in parallel, series parallel network is formed. Their value could be calculated by first solving the series or parallel network to find the equivalent resistor and then use the value of the network as if it is a value of a single resistor to solve the other part. Below is a good example :
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E.g of a Series-Parallel Resistor Network
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| - Below is the solution of the above network. |
• STEP 1 : Find the sum of the resistors that are in series. This will give the equivalent resistor.
• STEP 2 : Find the resistance of the resistors in parallel.
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Solution shown on diagram
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- Here's another example :
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| E.g of a Series-Parallel Resistor Network |
- The figure below shows the solution of the above network. First solve the parallel resistors, the whole network will become in series and the solve the series network.
Solution
Solution
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