Derive laws of resistance in series so as to explain equivalent resistance of circuit about 3 mark ans.
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Explanation:
Laws of Resistance are further classified into two types-:
- Law of resistance in Parallel, and
- Law of resistance in Series.
Law of resistance in Series:
Suppose there is a diagram of three resistors connected in series.
R1, R2 and R3 are the three Resistors.
I is the current in the circuit.
V is the voltage of the circuit.
By applying OHM's law in all the resistors we get
- V1 = I R1 ,
- V2 = I R2 ,and
- V3 = I R3
The total potential difference in the circuit is V, so
V = V1 + V2 + V3 : [V=IR]
IR = IR1 + IR2 + IR3
I(R) = I(R1 + R2 + R3) : [ Taking I as common ]
Therefore; R = R1 + R2 + R3 or Equivalent Resistance
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