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Maharashtra State BoardSSC (English Medium) 10th Standard

Differentiate Between Resistances in Series and Parallel.

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Question

Differentiate between resistances in series and parallel.

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Solution

  Resistances in Series   Resistances in Parallel
1 In this type of connection, the resistances are connected one after the other such that the same amount of current flows through each resistance. 1 In this type of connection, the resistances are connected between two common points such that the potential difference across each resistor is the same.
2 For n number of resistors connected in series, the effective resistance RS is equal to the sum of the individual resistors.
RS = R1 + R2 + R3 + R4+ …… Rn
2

For n number of resistors connected in pparallel, the reciprocal of the effective resistance (Rp) is equal to the sum of the reciprocals of the individual resistances.

`1/R_p=1/R_1+1/R_2+..............+1/R_p`

 

3 The effective resistance in series combination is greater than the individual resistances. 3 The effective resistance in parallel combination is less than the individual resistances in the combination.
4 It is used to decrease the current in the circuit. 4 It is used to increase the current in
the circuit.

 

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2014-2015 (March)

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