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प्रश्न
Two wires of same material and same lengths have radii in the ratio of 2 : 3, Compare their resistances.
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उत्तर
Given: r1 : r2 = 2 : 3
Area of cross-section of wire = a = π r2
∴ a1 : a2 = `"r"_1^2 : "r"_2^2 = 4 : 9`
Resistance of wire R α `1/"a"`
∴ `"R"_1/"R"_2 = "a"_2/"a"_1 = 9/4`
संबंधित प्रश्न
Complete the following :-
(a)
Judge the equivalent resistance when the following are connected in parallel − (a) 1 Ω and 106Ω, (b) 1 Ω and 103Ω and 106Ω.
Name the material which is the best conductor of electricity.
How does the resistance of a wire change when:
its diameter is tripled?
Name the following substances:
(i) Showing low resistivity,
(ii) Showing very high resistivity,
(iii) Showing moderate resistivity.
Why are thick copper wires used as connecting wires?
State and explain the laws of resistance.
What is the equivalent resistance between the points X and Y for the given network?
A metal wire of resistance 6 Ω is stretched so that its length is increased to twice its original length. Calculate its new resistance.
