Advertisements
Advertisements
Question
What length of a copper wire of cross-sectional area 0.01 mm2 will be needed to prepare a resistance of 1 kΩ? Resistivity of copper = 1.7 × 10–8 Ωm
Advertisements
Solution
Given:-
Resistivity of copper, ρcu = 1.7 × 10–8 Ωm
Area of cross-section, A = 0.01 mm2 = 0.01 × 10–6 m2
Required resistance, R = 1 kΩ = 103 Ω
Let l be the required length of the copper wire.
We know:-
\[R = \frac{\rho l}{A}\]
\[ \Rightarrow l = \frac{RA}{\rho_{cu}}\]
\[ \Rightarrow l = \frac{{10}^3 \times 0 . 01 \times {10}^{- 6}}{1 . 7 \times {10}^{- 8}}\]
\[ \therefore l = 0 . 58 \times {10}^3 m = 0 . 6 km\]
APPEARS IN
RELATED QUESTIONS
A negligibly small current is passed through a wire of length 15 m and uniform cross-section 6.0 × 10−7 m2, and its resistance is measured to be 5.0 Ω. What is the resistivity of the material at the temperature of the experiment?
Two wires of equal length, one of aluminium and the other of copper have the same resistance. Which of the two wires is lighter? Hence explain why aluminium wires are preferred for overhead power cables.
(ρAl = 2.63 × 10−8 Ω m, ρCu = 1.72 × 10−8 Ω m, Relative density of Al = 2.7, of Cu = 8.9.)
What conclusion can you draw from the following observations on a resistor made of alloy manganin?
| Current A |
Voltage V |
Current A |
Voltage V |
| 0.2 | 3.94 | 3.0 | 59.2 |
| 0.4 | 7.87 | 4.0 | 78.8 |
| 0.6 | 11.8 | 5.0 | 98.6 |
| 0.8 | 15.7 | 6.0 | 118.5 |
| 1.0 | 19.7 | 7.0 | 138.2 |
| 2.0 | 39.4 | 8.0 | 158.0 |
A heating element is marked 210 V, 630 W. What is the value of the current drawn by the element when connected to a 210 V dc source?
Two wires of equal length, one of copper and the other of manganin have the same resistance. Which wire is thicker?
The electrochemical equivalent of a material depends on _______________ .
If R1 and R2 are filament resistances of a 200 W and a 100 W bulb respectively, designed to operate on the same voltage, then:
Choose the correct alternative:
Alloys usually have much (lower/higher) temperature coefficients of resistance than pure metals.
Choose the correct alternative:
The resistivity of the alloy manganin is nearly independent of/increases rapidly with increase of temperature.
Choose the correct alternative:
The resistivity of a typical insulator (e.g., amber) is greater than that of a metal by a factor of the order of (1022/1023).
The resistivity of alloy manganin is ______.
Fuse wire should have
If the last band on the carbon resistor is absent, then the tolerance is ______
