A 1.00 km cable having a cross-sectional area of 0.5 cm? is to be constructed out of equal lengths of copper and aluminium. The resistivity values of copper (Cu) and aluminium (Al) material are pcu = 1.68 x 108 2m and PAI = 2.65 x 108 Qm, respectively. Two designs could be used to make the 1.00 km cable as shown in Figure Q3(a)(i) and Figure Q3(a)(ii). +1.00 km- Cu Al A-0.5 cm2. F1.00 km- Cu ) Al (1) '0.5km 0.5km (ii) (i) Figure Q3(a) (i) First design of the cable is to solder side by side of the two parallel 1.00 km copper and aluminium cables as shown in Figure Q3(a)(i). The cross-sectional areas of copper and aluminium cables are halved of that of the constructed cable. Calculate the total resistance of the cable. (ii) Second design of the cable is to solder a 0.50 km aluminium cable at the end of a 0.50 km copper cable as shown in Figure Q3(a)(ii). Calculate the total resistance of the cable. (iii) Justify which design of the cable gives better electrical performance.

A 1.00 km cable having a cross-sectional area of 0.5 cm? is to be constructed out of equal lengths of copper and aluminium. The resistivity values of copper (Cu) and aluminium (Al) material are pcu = 1.68 x 108 2m and PAI = 2.65 x 108 Qm, respectively. Two designs could be used to make the 1.00 km cable as shown in Figure Q3(a)(i) and Figure Q3(a)(ii). +1.00 km- Cu Al A-0.5 cm2. F1.00 km- Cu ) Al (1) '0.5km 0.5km (ii) (i) Figure Q3(a) (i) First design of the cable is to solder side by side of the two parallel 1.00 km copper and aluminium cables as shown in Figure Q3(a)(i). The cross-sectional areas of copper and aluminium cables are halved of that of the constructed cable. Calculate the total resistance of the cable. (ii) Second design of the cable is to solder a 0.50 km aluminium cable at the end of a 0.50 km copper cable as shown in Figure Q3(a)(ii). Calculate the total resistance of the cable. (iii) Justify which design of the cable gives better electrical performance.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: A stranded cable consists of eight copper conductors each having a diameter of 1.0mm. Twisting the…

A: Given: d=1.0 mm, ρ=1.72×10-8 W-m, length 1 km Percentage extension of cable 3% Find : Resistance

Q: A: A single core cable covered by the lead, if the radius of the conductor is r and the insulator…

A: Cross Section of Underground Cable: Given: Single Core Cable covered by Lead Radius of conductor…

Q: A copper conductor is connected in parallel with twice

A: Given, resistivity of copper : - ρc=0.0159 area of copper : - ac=πdc2=? length of copper : - lc=2la…

Q: Code: COFFEE. A single-core cable has a conductor diameter of 13.5 mm and insulation thickness of…

Q: A strand of wire has resistance 60-ohms. Find the net resistance of 25 such strands (in ohms) if…

A: This question belongs to circuit theory . It is based on the concept of parallel combination of…

Q: Question 4 a) The IEEE Standard 754 representation of a floating point number is given as:…

A: The solution is given below

Q: Why is the conduction angle greater with an inductive load than with a purely resistive load?

Q: What are the majority carriers in a P type material

A: P type materials are formed by dopiing pure semiconductor with third group elements.

Q: A copper wire of radius a = 0.172 mm has an aluminum jacket of outer radius b = 0.231 mm. There is a…

A: Data Given , Inner Radius of the wire ( a ) = 0.172 mm = 0.172 × 10-3 m Outer Radius of wire ( b )…

Q: A cylindrical copper rod has resistance 37 Ohm . We pull the rod so that its new length is 13 times…

A: As the volume of the wire remains unchanged, determine the expression relating the areas.…

Q: büt3. Considering the stress-strain graph represented in the figure below, define the following…

A: The properties of material given are- 1) Ductility 2) Resilience 3) Toughness

Q: What is the resistance of a copper bus-bar with the dimensions shown figure below

Q: Consider two parallel conductors. V=OV at Z=0 V = 200V at dd Obtain the voltage at di-3m and d2 =…

A: We are given two parallel conductors with a voltage difference of 200V between them. The voltage at…

Q: What does a MONOSTABLE circuit do? How could these ideas be applied?

Q: Twelve wires of same length and same cross-section are connected in the form of a cube as shown in…

Q: The diameter of a cylindrical conductor A is 6 mm, and its length is 2 m. The diameter and length of…

A: Since the material A and B are the same hence the resistivity will be the same in both cases. From…

Q: A cylindrical copper wire has a diameter 4 mm and length 10 cm with a conductivity 5x107 S/m. If an…

A: Given : D=4 mmL=10 cm σ=5×107 S/mE=2 mV/m Step 1: Calculate resistivity ρ=1σ=15×107ρ=2×10-8 Ωm

Q: We usually think of wires as perfect (R=0) conductors, which is not quite accurate. Real wires have…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: What is the radius in cm of 100 MCM Cable?

A: given cable problem

Q: Wire to be used in buildings and homes in the United States is standardized according to the AWG…

A: A: To calculate the expression of diameter of the wire, simple the expression of gauge number using…

Q: Neglecting losses and fringing effects and assuming the substrate of a stripline to have a thickness…

A: In this question we will find required width of metal strip in order for stripline to have given…

Q: In the figure above a = 14 cm, b = 16 cm. The current in the long straight wire is given by i =…

Q: At what temperature will intrinsic silicon become a conductor? Assume that un = 350 cm²/Vs and up =…

Q: Oppositely charged parallel plates are separated by 5.60 mm. A potential difference of 600 V exists…

Q: A copper conductor is connected in parallel with twice its length of aluminum conductor. The…

Q: give some practical applications for the torsional vibration

A: The vibration of an object in angular form is known as Torsional Vibration. These are generally…

Q: 3. The resistance of a conductor having length 1 area of cross section a and resistivity p is given…

A: Given: For a conductor The length is l, area of cross section is a and its resistivity is ρ

Q: Dry air will begin to ionise when the electric field strength reaches about 3 MV/m (i.e. 3 x 106…

A: Given V= 10000 V E=3×106 V/m plate area A= 1m2

Q: A rectangular busbar has a cross section of 0.5 inch by 1.75 inch and is 25 ft long. What is the…

A: The resistance is calculated by the formula as mentioned below: R=ρLA whereR= Resistanceρ=…

Q: Length 30m Design current 10A For cable section= 6mm2, from the table 4E4B, mV/A/m=6.8 Find the…

A: Given Length = 30m Current = 10A Unit Drop = 6.8mV/A/m Find cable voltage drop(VD) = ?

Concept explainers

Dielectric Breakdown

A dielectric is a material with low electrical conductivity and so is classified as an insulator. Dielectric materials are used to block the flow of electricity through them, allowing them to behave as an insulators. They can also be used to store electric charge or improve capacitance.Dielectrics have no free electrons for conduction because electrons are tightly bound to the nucleus. Because dielectrics contain a small number of electrons for electrical conductivity, they have a dipole. The two primary roles of dielectrics in electrical devices are insulation and electrical energy storage. An electric field polarizes the dielectric, and the polarization of the molecules allows dielectric materials to store charge.

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

step 1

VIEW

Total resistance of cable for case i)

VIEW

Total resistance of cable for case ii)

VIEW

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A wire 50 m in length and 2 mm² in cross section has a resistance of 0.56 2. A 100-m length of wire of the same material has a resistance of 2 N at the same temperature. Find the diameter of this wire.
Calculate the resistance per unit length of this wire.
5. The rod given in the figure is made up of two different materials. - 25 cm * 70 cm Both have square cross sections of 3 mm side. The resistivity of the first material is 4 x 10-3 2.m and it is 25 cm long while second material has resistivity of 5 x 10-³ Q.m and is of 70 cm long. What is the resistivity of rod between its ends?
A #10AWG stranded copper wire has 37 strands, each strand has a diameter of 0.0167 inch, and a length of 1000 ft. If copper has a resistivity of 11.46 Ω-CM/ft at 20 C, and a thermal coefficient of 0.004264/C at 0 C, determine its resistance at 85 C.
A certain wire is having length of 68 m on a winter day when the temperature is -29 °C. How much longer (in mm) is the wire on a summer day when the temperature is 27 °C? (Consider a 14 x 10-5 (°C) 1, for the material of the wire)
2. The parallel conductors of 10 mm diameter each carry 100 A in opposite directions are separated by an air space of 50 mm. The conductors are 10 m long. The force on each conductor will be
For a non-uniformly doped semiconductor sample, the sheet- 1 resistance is given by: R =- aju(x)n(x)dx For the three n-type thin layers on a p-type substrate shown in the Figure, determine Rh- (n=1250 cm²/V/s, q=1.6 × 10-¹⁹ C) n (cm-³) 1016 10¹5 0 n (b) (a) (c) 104 P x (cm)
Determine the missing digit 971-05?1-52-8