Resistors in series
Resistors in parallel
. Effective resistance increases
• The current through each resistor is different.
It gets divided as per the value of resistors.
• The potential difference across each resistor
is different. It gets divided as per the value
of resistors.
• Each resistor can be controlled by using
separate switches.
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Answers
Answer:
Resistors in Series
Resistors are said to be connected in “Series”, when they are daisy chained together in a single line. Since all the current flowing through the first resistor has no other way to go it must also pass through the second resistor and the third and so on. Then, resistors in series have a Common Current flowing through them as the current that flows through one resistor must also flow through the others as it can only take one path.
Then the amount of current that flows through a set of resistors in series will be the same at all points in a series resistor network. For example:
series resistor current
In the following example the resistors R1, R2 and R3 are all connected together in series between points A and B with a common current, I flowing through them.
Series Resistor Circuit
resistors in series
As the resistors are connected together in series the same current passes through each resistor in the chain and the total resistance, RT of the circuit must be equal to the sum of all the individual resistors added together. That is
series resistance equation
and by taking the individual values of the resistors in our simple example above, the total equivalent resistance, REQ is therefore given as:
REQ = R1 + R2 + R3 = 1kΩ + 2kΩ + 6kΩ = 9kΩ
series resistors equivalent resistance
So we see that we can replace all three individual resistors above with just one single “equivalent” resistor which will have a value of 9kΩ.
Where four, five or even more resistors are all connected together in a series circuit, the total or equivalent resistance of the circuit, RT would still be the sum of all the individual resistors connected together and the more resistors added to the series, the greater the equivalent resistance (no matter what their value).
This total resistance is generally known as the Equivalent Resistance and can be defined as; “a single value of resistance that can replace any number of resistors in series without altering the values of the current or the voltage in the circuit“. Then the equation given for calculating total resistance of the circuit when connecting together resistors in series
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