मराठी

Calculate the Resistance of an Aluminium Cable of Length 10 Km and Diameter 2.0 Mm If the Resistivity of Aluminium is 27 × 10−8 ωM. - Science

Advertisements
Advertisements

प्रश्न

Calculate the resistance of an aluminium cable of length 10 km and diameter 2.0 mm if the resistivity of aluminium is 27 × 10−8 Ωm. 

उत्तर

Length of the cable wire, l = 10 km = 10000 m
Diameter of the cable wire, d = 2.0 mm
Radius of the cable wire, r = 0.1 mm = 0.0001 m = 10-4 m
Area of cross-section, `A=Api^2` 3.14 × 10-8 m2
Resistivity of the aluminium cable wire = 27 × 10−8 Ω m.

Let the resistance of the aluminium cable be R.

We know that `R=l/A` 

R=P/A 

`R=27xx10-8xx103.14xx10-8`   

`R=(27xx10^-8xx10000)/(3.14xx10^-8)`

R = 86 Ω 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Electricity - Exercise 4

APPEARS IN

संबंधित प्रश्‍न

In series combination which remains constant?
(a) Voltage
(b) Current
(c) Both current and voltage
(d) Both are variables


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


The diagram below shows part of a circuit: 

 

If this arrangement of three resistors was to be replaced by a single resistor, its resistance should be:
 
(a) 9 Ω
(b) 4 Ω
(c) 6 Ω
(d) 18 Ω


Choose the correct alternative and rewrite the following sentence.

If three resistors 2 ohms, 3 ohms and 4 ohms are connected in series, then the effective resistance in the circuit will be _______ ohms.


Answer the following question.
While studying the dependence of potential difference ( V) across a resistor on the current (I) passing through it, in order to determine the resistance of the resistor, a student took 5 readings for different values of current and plotted a graph between V and t. He got a straight line graph passing through the origin. What does the straight-line signify? Write the method of determining the resistance of the resister using this graph. 


How does the resistivity of an alloy such as constantace depends on temperature.


Define the term resistivity and state its S.I. unit. Which will have higher resistivity a conductor or an insulator.


Calculate the equivalent resistance between the points A and B for the following combination of resistors:


In the circuit shown below, calculate the equivalent resistance between the points (i) A and B, (ii) C and D.


Two wires of same material and same lengths have radii in the ratio of 2 : 3, Compare their resistances.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×