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Why is resistance less in parallel combi...

Why is resistance less in parallel combination of resistors ?

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In parallel combination of resistors, the effective cross-sectional area of the resulting combination decreases and as such resistance decreases as `R prop 1//A`.
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(a) Why does resistance increase in a series combination of resistors ? (b) Why does resistance decrease in a parallel combination of resistors ?

Why is resistance more in series combination of resistors ?

Knowledge Check

  • Equivalent resistance R, of the parallel combination when two resistors Rand R, are connected in parallel is equal to

    A
    `R_(p) = (R_(1) + R_(2))/(R_(1) R_(2))`
    B
    `R_(p) = (R_(1)R_(2))/(R_(1) - R_(2))`
    C
    `R_(p) = (R_(1) - R_(2))/(R_(1) + R_(2))`
    D
    `R_(p) = (R_(1) + R_(2))/(R_(1) + R_(2))`

    • Similar Questions

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    Why is resistance more in series combination?

    What is the ratio of equivalent resistance of series combination of n equal resistance to the equivalent resistance in parallel combination of these n resistances ?

    Derive expression for equivalent resistance of a parallel combination of resistances. (b) Calculate the ratio of equivalent resistance for a series combination of n number of identical resistors to the parallel combination of the same type of n number of resistors.

    (a) How does the current divide itself in a parallel combination of resistors ? (b) How does the pd divide itself in a series combination of resistors ?

    A cell of emf 2V and internal resistance 4 Omega is connected across a parallel combination of two resistors of resistance 10 Omega and 20 Omega . Find the current through each resistor using Kirchhoff's laws.

    Draw the circuit diagram of an electric circuit containing a battery of 6 V, a key , an ammeter , a resistor of 4 Omega in series with a combination of two resistors of 8 Omega each in parallel, and a voltmeter across the parallel combination. (a) Calculate the resistance of the circuit . (b) Find the current flowing in the circuit. (c) What will be the voltage across the parallel combination of resistors?

    Draw a circuit diagram of an electric circuit containing a cell, a key, an ammeter, a resistance of 2 Omega in series with a combination of two resistors ( 4 Omega each) in parallel and a voltmeter across the parallel combination. Will the potential difference across the 2 Omega resistor be the same as that across the parallel combination of 4 Omega resistors ? Give reason.

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