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If the Length of a Wire is Doubled by Taking More of Wire, What Happens to Its Resistance?

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प्रश्न

If the length of a wire is doubled by taking more of wire, what happens to its resistance?

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उत्तर

We know that the resistance of the wire, R = ρl A where the resistivity of the wire is ρ.
The length of the wire = l
The area of cross-section of the wire, A = πr2
So when the length of the wire is doubled (l' = 2l) by taking more of the same wire, (it will keep the resistivity and the area of cross-section the same), the length is doubled.
New resistance = R'
R' = ρlA
R' = 2ρl A
R' = 2R
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अध्याय 4: Electricity - Exercise 4

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लखमीर सिंग Physics [English] Class 10
अध्याय 4 Electricity
Exercise 4 | Q 2

संबंधित प्रश्न

Complete the following :-

(a)


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(c) superconductor
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 Give one example to show how the resistance depends on the nature of material of the conductor.


If five resistances, each of value 0.2 ohm, are connected in series, what will be the resultant resistance?


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If this arrangement of three resistors was to be replaced by a single resistor, its resistance should be:
 
(a) 9 Ω
(b) 4 Ω
(c) 6 Ω
(d) 18 Ω


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4 Ω, 8 Ω, 12 Ω, 24 Ω 

 


State how are the two resistors joined with a battery when same current flows in each resistor.


Name the physical quantity that represents the ratio of potential difference and current.

Define resistivity of a metal.

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A metal wire of resistance 6 Ω is stretched so that its length is increased to twice its original length. Calculate its new resistance.


Two resistors having 2Ω and 3Ω resistance are connected—(i) in series, and (ii) in parallel. Find the equivalent resistance in each case.


Two wires of the same length and area made of two materials of resistivity ρ1 and ρ2 are connected in series to a source of potential V. The equivalent resistivity for the same area is:


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  1. The combinations having equivalent resistance 1 Q is/are ______.

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