Table of Contents
- 1 What happens to the resistance of a wire if it is stretched?
- 2 What will happen to the resistance if area is doubled?
- 3 How will the resistance change if a given wire is stretched to double its length?
- 4 How is the resistance of a wire affected if its length is doubled and its radius is doubled?
- 5 When the length of the wire is doubled its resistance also gets doubled reason the resistance of a wire is directly proportional to its length?
What happens to the resistance of a wire if it is stretched?
Answer: The resistance of a wire is inversely proportional to its area and directly proportional to its length. When the length is tripled then resistance will also become three times. If The wire is stretched 3 times the original length, the cross-section of the wire is cut to 1/3rd it’s the original cross-section.
What will happen to the resistance if area is doubled?
What happens to resistance of a conductor if area of cross section is doubled? The resistance of a conductor is inversely proportional to its area of cross section. i.e., Resistance will be reduced to half.
How will the resistance change if a given wire is stretched to double its length?
When a given wire is stretched to double its length, its area of cross-section will be halved, so the resistance of wire will become four times.
What is the formula of new resistance?
Equations
| Equation | Symbols | Meaning in words |
|---|---|---|
| R = ρ l A R =\dfrac{\rho l}{A} R=Aρl | R R R is resistance, ρ is resistivity, l is length, and A is cross sectional area | Resistance is proportional to resistivity and length, and inversely proportional to cross sectional area. |
When the resistance of the wire is doubled its resistance becomes?
Hence, if the length of a wire is doubled, then its resistance becomes doubled.
How is the resistance of a wire affected if its length is doubled and its radius is doubled?
(b) The resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if the radius is doubled, the area increases four times and hence the resistance becomes one-fourth.
When the length of the wire is doubled its resistance also gets doubled reason the resistance of a wire is directly proportional to its length?
Therefore, when the length of the wire is doubled, resistance of the object is also doubled. Therefore, option (D) is the correct answer. Therefore, resistance is directly proportional to length of object and inversely proportional to cross-sectional area.