Which of the following statements are true with regard to resistance?a)Resistance is directly proportional to length of the wireb)Resistance is directly proportional to area of cross section of the wirec)Resistance is inversely proportional to the length of the wired)All the statements are falseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

The answer B is wrong correct answer is A

Answer

Answer is a R=density*length/area

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B is wrong

Answer

Option A is correct

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Correct answer is A

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R= p(L/A)
resistance is directly proportional to length of wire. therefore option (a) is right answer.

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According to basics r  directly proportional to length of the wire. but coming to power system  R=  (density*/2πl) *ln(R/r)

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R=row,l/a

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Resistance is a fundamental concept in electrical engineering that refers to the hindrance or opposition offered by a material or component to the flow of electric current. It is measured in ohms (Ω) and is influenced by several factors. Among the given statements, option 'B' is true, which states that resistance is directly proportional to the area of the cross-section of the wire. Let's explain why this statement is true.

Resistance is directly proportional to the area of cross-section of the wire:

- The resistance of a conductor is determined by its material properties and geometric factors. One of the geometric factors is the cross-sectional area of the wire. The larger the cross-sectional area, the lower the resistance of the wire.
- This relationship can be understood by considering the flow of current through a wire. When current flows through a wire, it encounters resistance due to collisions between electrons and atoms in the wire. A larger cross-sectional area means more space for the electrons to flow, reducing the number of collisions and subsequently reducing the resistance.
- Mathematically, resistance (R) is inversely proportional to the cross-sectional area (A) of the wire. This relationship is described by the formula R = ρ * (L/A), where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area.
- By rearranging the formula, we can see that resistance is directly proportional to the length of the wire (L) and inversely proportional to the cross-sectional area (A). Therefore, as the cross-sectional area increases, the resistance decreases.

In summary, resistance is directly proportional to the length of the wire (option 'A') and inversely proportional to the cross-sectional area of the wire (option 'B'). The given statement 'Resistance is directly proportional to the area of cross-section of the wire' (option 'B') is true. The statements 'Resistance is directly proportional to the length of the wire' (option 'A') and 'Resistance is inversely proportional to the length of the wire' (option 'C') are also true. Therefore, the correct answer is option 'B'.

Answer

Option A is right

Answer

R=( roh × l )/a

Answer

A

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