Solution - Factors on Which the Resistance of a Conductor Depends



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ConceptFactors on Which the Resistance of a Conductor Depends  


A copper wire has diameter 0.5 mm and resistivity of 1.6 × 10−8Ω m. What will be the length of this wire to make its resistance 10 Ω? How much does the resistance change if the diameter is doubled?


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Use the data in Table 12.2 to answer the following –
Table 12.2 Electrical resistivity of some substances at 20°C

MaterialResistivity (Ω m)
ConductorsSilver1.60 × 10−8
Copper1.62 × 10−8
Aluminium2.63 × 10−8
Tungsten5.20 × 10−8
Nickel6.84 × 10−8
Iron10.0 × 10−8
Chromium12.9 × 10−8
Mercury94.0 × 10−8
Manganese1.84 × 10−6
(alloy of Cu and Ni)
49 × 10−6
(alloy of Cu, Mn and Ni)
44 × 10−6
(alloy of Ni, Cr, Mn and Fe)
100 × 10−6
Glass1010 − 1014
InsulatorsHard rubber1013 − 1016
Ebonite1015 − 1017
Diamond1012 − 1013
Paper (dry)1012
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What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance 4 Ω, 8 Ω, 12 Ω, 24 Ω?

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Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be –

(a) 1:2

(b) 2:1

(c) 1:4

(d) 4:1

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Solution for concept: Factors on Which the Resistance of a Conductor Depends. For the course 8th-10th CBSE