Calculate the resistance of a 5 m Constantine wire of cross-sectional area of 3.5π x 10^-8 m^2 and resistivity of 1.1 x 10^-6 Ωm
Question
Calculate the resistance of a 5 m Constantine wire of cross-sectional area of 3.5π x 10^-8 m^2 and resistivity of 1.1 x 10^-6 Ωm
Solution 1
Sure, to calculate the resistance of the wire, we can use the formula for resistance which is:
R = ρL/A
where: R is the resistance, ρ (rho) is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.
Given: ρ = 1.1 x 10^-6 Ωm, L = 5 m, and A = 3.5π x 10^-8 m^2.
Substituting these values into the formula, we get:
R = (1.1 x 10^-6 Ωm * 5 m) / (3.5π x 10^-8 m^2)
Now, calculate the numerator and the denominator separately:
Numerator = 1.1 x 10^-6 Ωm * 5 m = 5.5 x 10^-6 Ω Denominator = 3.5π x 10^-8 m^2 ≈ 1.1 x 10^-7 m^2
Then, divide the numerator by the denominator:
R = 5.5 x 10^-6 Ω / 1.1 x 10^-7 m^2 = 50 Ω
So, the resistance of the wire is approximately 50 Ohms.
Solution 2
Sure, to calculate the resistance of the wire, we can use the formula for resistance which is:
R = ρL/A
where: R is the resistance, ρ (rho) is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.
Given: ρ = 1.1 x 10^-6 Ωm, L = 5 m, and A = 3.5π x 10^-8 m^2.
Substituting these values into the formula, we get:
R = (1.1 x 10^-6 Ωm * 5 m) / (3.5π x 10^-8 m^2)
Solving this will give us the resistance of the wire.
Solution 3
Sure, to calculate the resistance of the wire, we can use the formula for resistance which is:
R = ρL/A
where: R is the resistance, ρ (rho) is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.
Given: ρ = 1.1 x 10^-6 Ωm, L = 5 m, and A = 3.5π x 10^-8 m^2.
Substituting these values into the formula, we get:
R = (1.1 x 10^-6 Ωm * 5 m) / (3.5π x 10^-8 m^2)
Now, calculate the above expression to get the resistance.
Similar Questions
A copper wire has a resistivity of 1.723 x 10-8 Ω-m and a cross-sectional area of 9.5 mm2. Calculate the length of the wire in m when its resistance is 3.2 Ω.
The resistance of a wire of 0.01 cm radius is 10 Ω. If the resistivity of the material of the wire is 50 × 10-8 ohm meter, find the length of the wire.
A copper wire has diameter 0.5 mm and resistivity of 1.6 x 10-8 Ω m. What will be the length of this wire to make its resistance 10 Ω ? How much does the resistance change if the diameter is doubled
Calculate the electrical resistance per metre length at 20°C of a copper conductor of a 10 mm? cross-sectional area.
The resistance of 550 m of wire of cross sectional area of 3 mm^2 is 5.5 ohm . Determine the resistivity of the wire. Leave your answer in prefixed engineering notation. (^2 means to the power of 2)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.