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If RP be equivalent resistance of parallel combination, then, Laws of resistance in parallel: (i) Voltage across each resistor is same and is equal to the applied voltage. (ii) Total current = sum of the currents through the individual resistances.
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Derive an expression for the equivalent resistance of three resistances connected in series.
Series combination: If a number of resistors are joined together so that the current flowing across each resistor is the same, then the resistances are said to be connected in series.
In Series connection current remains same and voltage gets divided.
V eq. =V1+V2+V3
V eq. = I(R1+R3+R3)
R eq.= V eq./I
R eq. = I(R1+R2+R3)/I
R eq. = R1+R2+R3
Let R be resistance and R1, R2 and R3 be the resistances in each resistora
Let V be potential difference of the circuit and V1, V2 and V3 be potential difference in each resistors in a circuit
Let I be the current flowing through the circuit and I1,I2 and I3 be current flowing through each resistor.
Applying ohm's law
By (1),(3a),(3b),(3c) and (3d) we get,
Hence derived the series combination of resistors mathematically..
The combination in which resistors are connected
end to end is called series combination.
In series combination,the current across all resistors is same.
Consider 3 resistors connected in series.
We know that:
V = IR
And in series,voltages are different.
V=V1 + V2+ V3
As V = IR
then : I Req= IR1 + IR2 + IR3
Taking current as common,,then above equation becomes:
Req= R1 + R2 + R3
It can be concluded that:
"In series,simply resistances are added"
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Two resistors of resistance R1 and R2 are connected in series. Let I be the current through the circuit. The current through each resistor is also I. The two resistors joined in series is replaced by an equivalent single resistor of resistance R such that the potential difference V across it, and the current I through the circuit remains same.
As , V = IR , V1 = IR1 , V2 = IR2
IR = IR1 + IR2
IR = I (R1 + R2)
Explanation:a)eq resistance = sum of resistance of all resister
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Electricity. Derive an expression for the equivalent resistance of three resistances connected in series. Series combination: If a number of resistors are joined together so that the current flowing across each resistor is the same, then the resistances are said to be connected in series.
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