What will be the resistance of a wire if its length is doubled and radius is made half?

(a) Resistance of a wire is directly proportional to the length of a wire; so if the length is doubled, resistance is also doubled. (b) Resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if radius is doubled, area increases four times and hence the resistance becomes one-fourth.

What happens to resistance when length is halved and area is doubled?

Since length becomes 2l and the cross-sectional area becomes 14th. Hence, almost the new resistance of the conductor increases by 4 times.

What happens to the resistance of a wire if its radius is halved?

Answer Expert Verified So if radius is halved, Area becomes1/4th and so resistance becomes 4 times.

What is the resistance when a wire has a resistance of 10 Ohm its length is now doubled and the cross-sectional area is halved?

resistance of wire will be 40Ω.

How is the resistance of a cylindrical wire changed if the cross-sectional 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.

What happens to the resistance of a wire when its length is double?

So, the new resistance, after doubling the length of the wire, becomes twice of the original resistance. Hence, if the length of a wire is doubled, then its resistance becomes doubled. Note: Otherwise the change in the value of resistance will occur due to the change in the cross sectional area also.

When both the length and area of cross section of a wire are doubled then the resistance will be?

Initial length of the conductor l1=l Final length of the conductor l2=2l Initial cross-sectional area A1=A Final cross-sectional area A2=2A The resistance of conductors given by R=ρ1A∝1A As both the length and area are doubled Hence, there will be no change in the resistance of the conductor and so it will remain …

When a wire is stretched and its radius becomes are by 2 then resistance will be?

Explanation: Initial radius of wire, r1 = r and final radius of wire, r2 = r/2 = 0.5r.

What will be the change in the resistance of a circular wire if its radius is halved and the length is reduced to ¼TH of its original length?

Implies, there is no change in resistance when radius is halved and length is reduced to one-fourth of it’s original length.

What do you understand by the statement that the resistance of A given wire is 10 ohm?

the resistance of a conductor is said to be 1ohm if a current of 1ampere flows through it when the potential difference across its end is 1volt. hope its helpful!

What is the resistance of a wire with length L and radius?

Now, of a wire with length l and radius r, suppose resistance is R. But fir a wire wuth same material, same length and double radius (2r) will be different because, Radius is double, thus making cross sectional area four times of the original radius area (A). Thus, area will be 4A. The resistance of a material works on an equation stated below.

What is the resistance of a 34 ohm wire?

Two wire A and B of same material and same mass have radius of 2r and R. If resistance of a wire A is 34 ohm, then the resistance of B will be? The radii have a ratio of 2:1, therefore the cross sectional area is of ratio 4:1. The resistance per unit length is therefore 1:4.

What is the cross sectional area of a wire?

The radii have a ratio of 2:1, therefore the cross sectional area is of ratio 4:1. The resistance per unit length is therefore 1:4. Because we are told the mass is the same, wire B, the smaller section wire will have to be 4 times as long to have the same mass, neglecting the effects of any insulation on the mass.

How to solve conductor resistance?

While solving Conductor Resistance, remember to express resistance in ohms, material resistivity in ohms per meter, conductor length in meters, and cross-sectional area in square meters for this relationship to be valid. We can then move on to calculate the cross-sectional area of the wire by substituting for the known quantities in the example.