Types of Barriers: Definition, Formula, Value and Example Questions

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Types of Barriers: Definition, Formula, Value and Example Questions - What is type resistance and how is it calculated? On this occasion Seputartahu.co.id will discuss it and of course about other things that also cover it. Let's look at the discussion together in the article below to understand it better.


Types of Barriers: Definition, Formula, Value and Example Questions


Resistance is the resistance of a material to an electric current. The magnitude of the electric current flowing in a conductor is proportional to the voltage difference.

Specific resistance is the tendency of a material to oppose the flow of electric current, symbolized by ρ (rho). The determining factor for the size of the resistance value of a conductor is the material of the conductor wire

We might think that the resistance of a thick wire is less compared to thin wire, because thicker wire has a wider area for electron flow. We of course also expect that the longer a conductor, the greater its resistance, because there will be more obstacles to the flow of electrons.

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If electric current or free electrons flow in a conductor that has a large diameter (cross-section), the resistance value will be lower. This is because with a large diameter the electric current will flow more easily, but if the diameter of the conductor is small then the electric current flowing will be hampered.

Likewise, if the electric current flows over a longer distance, the resistance value will be greater, However, if the electric current flows over a shorter distance, the resistance value will also increase small.


Type Barrier Values ​​and Formulas

From the explanation above it can be concluded that the electrical resistance of a conductor will be proportional is directly proportional to the length of the conductor and is inversely proportional to the cross-sectional area conductor.

Therefore, it can be systematically formulated using the following formula:

R = ρ x l/A

Information :

  • R is electrical resistance with units of Ω
  • ρ is the type resistance with units of Ωm
  • l is the length of the conductor in m
  • A is the cross-sectional area in m2 units

The amount of ρ (read rho) depends on the specific resistance of the type of conductor used. The resistance values ​​of several types of conductors can be seen in the table below:

Easy Way to Calculate the Resistance of a Type of Conductor with Example Questions and Understanding

Examples of Type Obstacle Questions


Question 1

What is the resistance value of an iron wire conductor (specific resistance 9.71 x 10 -8 Ωm) which has a wire length of 20 m and a diameter of 10 mm.

Solution:

Is known :

ρ = specific resistance 9.71 x 10 -8 Ωm

l = 20 m

D = 10mm

Asked: R = …. ?

Answer :

The first step is to first find the cross-sectional area of ​​the iron wire. The cross-sectional area can be found using the formula:

A = ¼ x π x D2

A = = ¼ x 3.14 x 102

A = ¼ x 3.14 x 100

A= 78.5 mm2 = 78.5 x 10-6 m2

So the resistance of the iron wire conductor is:

R = ρ x l/A

R = 9.71 x 10 -8 Ωm x 20 m / 78.5 x 10-6 m2

R = 2.47388 x 10-2

The wire in an incandescent lamp has a resistance of 20 Ω. If the lamp is installed at 220 volts, what is the current flowing in the circuit?

Answer :

Noted that :

R = 20 Ω

V = 220 volts

R = V/i

20 = 220/i

i = 220/20 = 11 A

Question 2

A copper wire is 1 m long and has a cross-sectional area of ​​5 mm2. If at a temperature of 20 oC has a specific resistance of 1.7. 10-6 Ωm and the temperature coefficient is 4. 10-3oC. What is the resistance of the wire?

Answer :

Noted that :

l = 1 m

A = 5 mm2

ρt = 1,7. 10-6 Ωm

α = 4. 10-3 oC

t = 20 oC

Rt = ρt. la

= 1,7. 10-6. 1/5

= 0,34. 10-6 = 3,4. 10-5

Question 3

A wire is 10 m long, has a cross-sectional area of ​​1 cm2 and resistance type 10-5 Ωm. If the wire is made of the same material, has the same mass and has twice the cross-sectional area of ​​the original wire, how much resistance will it have?

Answer :

Noted that :

l = 10 m

A1 = 1 cm2 = 0.0001 m2 = 10-4 m2

A2 = 2. 10-4 m2

ρ = 10-5 Ωm

R = ρ. la

=10-5. 10/2. 10-4

= 10-5. 5 .104 = 0,5 Ω

Types of Barriers: Definition, Formula, Value and Example Questions

Question 4

A piece of nichrome wire 3 meters long has a resistance of 20 ohms. The second nichrome wire is the same length, but its diameter is ½ times the diameter of the first wire. What is the resistance of the second wire?

Solution:

Knowni:

l1 = l2 = 3 m

d2 = ½ d1

R1 = 20 Ω

ρ1 = ρ2

Asked:R2 = … ?

Answer:

Because the diameter d2 = ½ d1 then the radius of the wire is also the same, namely r2 = ½ r1. First find the cross-sectional area (A) of the second nikron wire using the formula for the area of ​​a circle, namely:

L = πr2 so

L1 = πr2

L2 = π(½ r1)2 => L2 = ¼ πr12 => L2 = ¼L1

So, A2 = ¼A1

The resistance of the second type of conductor can be found using the formula:

R = ρl/A

ρl = R.A

In this case the length and specific resistance of the wire are the same, therefore:

(ρl)1 = (ρl)2

R1A1 = R2A2

20 ΩA1 = R2x ¼A1

R2 = 4 x 20 Ω

R2 = 80 Ω

That's the review from Seputartahu.co.id about Types of Barriers: Definition, Formula, Value and Example Questions, Hopefully it can increase your insight and knowledge. Thank you for visiting and don't forget to read other articles.

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