Resistance and Ohms law - Series Combination of Resistors
1 Answer
Certainly, I'd be happy to explain resistance, Ohm's law, and the series combination of resistors.
Resistance:
Resistance is a property of a material that opposes the flow of electric current. It's measured in units called ohms (symbol: Ω). The resistance of a material depends on factors such as its length, cross-sectional area, temperature, and the material's resistivity.
Ohm's Law:
Ohm's law states the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. It can be mathematically expressed as:
=
×
V=I×R
Where:
V is the voltage across the resistor (measured in volts).
I is the current flowing through the resistor (measured in amperes or amps).
R is the resistance of the resistor (measured in ohms).
Series Combination of Resistors:
When resistors are connected in series, they are connected end-to-end, so that the same current flows through each resistor. The total resistance of a series combination of resistors can be calculated by simply adding up the individual resistances:
total
=
1
+
2
+
3
+
…
R
total
=R
1
+R
2
+R
3
+…
Where
total
R
total
is the total resistance of the series combination, and
1
,
2
,
3
,
…
R
1
,R
2
,R
3
,… are the individual resistances of the resistors.
The current flowing through the entire series circuit remains the same, as per Ohm's law:
total
=
total
I
total
=
R
total
V
, where
total
I
total
is the total current in the circuit,
V is the applied voltage, and
total
R
total
is the total resistance.
Keep in mind that in a series circuit, the voltage drop across each resistor might be different, but the sum of these voltage drops will equal the total applied voltage.
In summary, when resistors are connected in series, their resistances add up, and the same current flows through each resistor. Series combinations are used in various applications, such as voltage dividers and current limiting circuits.
Resistance:
Resistance is a property of a material that opposes the flow of electric current. It's measured in units called ohms (symbol: Ω). The resistance of a material depends on factors such as its length, cross-sectional area, temperature, and the material's resistivity.
Ohm's Law:
Ohm's law states the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. It can be mathematically expressed as:
=
×
V=I×R
Where:
V is the voltage across the resistor (measured in volts).
I is the current flowing through the resistor (measured in amperes or amps).
R is the resistance of the resistor (measured in ohms).
Series Combination of Resistors:
When resistors are connected in series, they are connected end-to-end, so that the same current flows through each resistor. The total resistance of a series combination of resistors can be calculated by simply adding up the individual resistances:
total
=
1
+
2
+
3
+
…
R
total
=R
1
+R
2
+R
3
+…
Where
total
R
total
is the total resistance of the series combination, and
1
,
2
,
3
,
…
R
1
,R
2
,R
3
,… are the individual resistances of the resistors.
The current flowing through the entire series circuit remains the same, as per Ohm's law:
total
=
total
I
total
=
R
total
V
, where
total
I
total
is the total current in the circuit,
V is the applied voltage, and
total
R
total
is the total resistance.
Keep in mind that in a series circuit, the voltage drop across each resistor might be different, but the sum of these voltage drops will equal the total applied voltage.
In summary, when resistors are connected in series, their resistances add up, and the same current flows through each resistor. Series combinations are used in various applications, such as voltage dividers and current limiting circuits.