# Solution - Factors on Which the Resistance of a Conductor Depends

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ConceptFactors on Which the Resistance of a Conductor Depends

#### Question

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

 − Material Resistivity (Ω m) Conductors Silver 1.60 × 10−8 Copper 1.62 × 10−8 Aluminium 2.63 × 10−8 Tungsten 5.20 × 10−8 Nickel 6.84 × 10−8 Iron 10.0 × 10−8 Chromium 12.9 × 10−8 Mercury 94.0 × 10−8 Manganese 1.84 × 10−6 Constantan(alloy of Cu and Ni) 49 × 10−6 Alloys Manganin(alloy of Cu, Mn and Ni) 44 × 10−6 Nichrome(alloy of Ni, Cr, Mn and Fe) 100 × 10−6 Glass 1010 − 1014 Insulators Hard rubber 1013 − 1016 Ebonite 1015 − 1017 Diamond 1012 − 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
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