In the question it is given that wire is doubled. This means to fold the wire. As the wire is folded once its length becomes halved and the area of cross section becomes twice. Hence, when a $4$ ohm resistance wire is doubled then its new resistance becomes $1$ ohm .
How do you calculate new resistance?
Answer Expert Verified
We consider wire is doubled on it means to fold the length of wire. It means its length will get half and area of cross section will get doubled. Thus, R’ = p’ l’/A’ = p (l /2) ÷ 2A = !/4 (p l / A) = 1/4R = 1/4 × 4 = 1Ω.
What is electrical resistivity a specific resistance a 4ω resistance wire is doubled on it calculate the new resistance of the wire?
A 4-ohm resistance wire is doubled on it calculate the new resistance of the wire. First consider that wire is doubled on it means to fold the length of wire. That is its length will get half and area of cross-section will get doubled. = 1Ω .
Is 6 Ohm resistance wire is doubled on itself calculate the new resistance of the wire?
What is the new resistance? Hence, the new Resistance of wire is 1.5 Ohms .
When a wire is doubled on itself what is the resistance?
When a given metallic wire is doubled on itself, its length is reduced to half, but its area of cross-section gets doubled. So, the resistance of the wire will become one-fourth i.e., the new resistance of wire will be R/4 (or 0.25 R).
What is the formula of resistance?
The resistance formula is as follows: Resistance = voltage drop across a resistor/ current flowing through a resistor . R = frac{V}{I } R = resistance (Ohms, Ω) V = voltage difference which is between the two ends of a resistor (Volts, V)
How much does the resistance change if the diameter is doubled?
Formula. Hence, if diameter doubles, resistance becomes 1/4 times .
What are the factors that affect the resistance of the wire?
There are four factors affecting resistance which are Temperature, Length of wire, Area of the cross-section of the wire, and nature of the material . When there is current in a conductive material, the free electrons move through the material and occasionally collide with atoms.
What is difference between resistance and resistivity?
Resistance is the physical property of a substance because of which it opposes the flow of current i.e. electrons . Resistivity is the physical property of a particular substance which is having particular dimensions.
What should be the length of Nichrome wire?
Here is the answer. or, L = 108 cm . So, required length will be 108cm.
When wire is doubled What is the diameter?
Hint: Resistance of the conductor is directly proportional to the resistivity and length of the conductor, and inversely proportional to the area of the conductor. Using the above relation we will find the change in resistor when diameter is doubled.
How does the resistance of a wire changes if it is doubled up by folding?
Complete answer:
Let the original length of the wire be l and the original resistance be R . Also, let A be its cross sectional area. 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.
When the diameter of a wire is halved its resistance becomes?
L, is the length of the wire. S, is the area of cross section of the wire. So, the resistance increases four times .
Which is directly proportional to the resistance?
The resistance of any conductor is directly proportional to length and inversely proportional to area of cross-section of the substance. As value of resistance(R) is directly proportional to length of resistance, so by increasing the length of resistance the value of resistance increases.
When the length of a wire is doubled then its resistance doubled reason the resistance of a wire is directly proportional to its length?
Now, resistance of an object is directly to the length of material, therefore, resistance of object increases with the increase in length of object. Therefore, when the length of the wire is doubled, resistance of the object is also doubled. Therefore, option (D) is the correct answer.
What will be the new resistance if a wire?
(d) Resistivity of wire remains constant. As the length of wire gets doubled, the cross-sectional area will become half of its previous value because volume of wire remains constant. Hence, we can see that the new resistance is four times the previous resistance .
