Advertisements
Advertisements
Question
Write an expression for the resistance of a conducting wire in terms of its length and area of cross-section.
Solution
Let R be the resistance of a conducting wire of length l and area of cross-section A. We then have:
R = ρl/A
Here ρ is a constant characteristic of the material of the wire and is called its resistivity. Thus,
Resistance = `(("Resistivity of the material of the wire") xx ("length of thge wire"))/("Area of cross-section of the wire")`
APPEARS IN
RELATED QUESTIONS
Find the expression for resistors connected in series.
If five resistances, each of value 0.2 ohm, are connected in series, what will be the resultant resistance?
V = IRTwo resistances X and Y are connected turn by turn : (i) in parallel, and (ii) series. In which case the resultant resistance will be less than either of the individual resistances?R = R1+ R2+ R3
State the order of resistivity of (i) a metal, (ii) a semiconductor and (iii) an insulator.
Three resistors of 6.0 Ω, 2.0 Ω and 4.0 Ω are joined to an ammeter A and a cell of emf 6.0 V as shown in the following figure. Calculate :
- the effective resistance of the circuit.
- the reading of ammeter.
How does the resistivity of a semiconductor depend on temperature?
What is the maximum resistance which can be made using five resistors each of `1/5` W?
Two electric bulbs have resistances in the ratio 1 : 2. If they are joined in series, the energy consumed in them is in the ratio: