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Define resistance of a conductor. State the factors on which resistance of a conductor depends.

Name the device which is often used to change the resistance without changing the voltage source in an electric circuit.

Calculate the resistance of 50 m length of wire of cross-sectional area 0.01 square mm and of resistivity 5 ×10 ^-8 ohm m​

Sagot :

Answer:

1. Resistance is the opposition offered in a path of flow of current by the atoms or molecules of the conductor.

Factors on which resistance of a conductor depends are:

  • Length [tex]R \propto l[/tex]

  • Area of cross section [tex]R \propto \dfrac{1}{A}[/tex]

  • Nature of the material

2. Rheostat is used to change the resistance without changing the voltage source in an electric circuit.

3.

Given :

[tex]\dashrightarrow l = 50 m[/tex]

[tex]\dashrightarrow A = 0.01 {mm}^{2} [/tex]

[tex]\dashrightarrow A = 0.01 \times {10}^{ - 6} \: {m}^{2} [/tex]

[tex]\dashrightarrow \rho = 5 \times {10}^{ - 8} \: \Omega \: m[/tex]

We know that,

[tex] \dashrightarrow R = \rho \dfrac{l}{A}[/tex]

[tex] \dashrightarrow R = 5 \times {10}^{ - 8} \bigg(\dfrac{50}{0.01 \times {10}^{ - 6} } \bigg)[/tex]

[tex] \dashrightarrow { \pink{ \underline{ R = 250 \: \Omega }}}[/tex]

mickymike92

The resistance of a conductor is the opposition to the flow of current and depends on the length and area of the material

What is resistance of a conductor?

Resistance is the opposition to the flow of current by the atoms or molecules of the conductor.

The factors on which resistance of a conductor depends are:

  • Length of material
  • cross-sectional area of the material
  • Nature of the material

A Rheostat is the device used to change the resistance without changing the voltage source in an electric circuit.

The resistanceis given as:

  • R = resistivity × length/ area

Area = 0.01 square mm = 1.0 × 10^-8 square m

R = (50 × 5 ×10 ^-8 ohm m)/1.0 × 10^-8 square m

Resistance = 250 ohm

Therefore, resistance of a conductor is the opposition to the flow of current.

Learn more about resistance at: https://brainly.com/question/25997303

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