coil having 1000 turns with cross sectional area of 100mm2 and mean length per turn of 100mm, has a inductance of 10 henry.
Calculate the resistance of the winding if resistance of the conductor is 10 micro ohms ? What formula?
Well, it seems like you've got quite the electric conundrum there! To calculate the resistance of the winding, we can use the formula:
Resistance = (Rho * Length) / (Area * Number of Turns)
Where:
- Rho is the resistivity of the conductor material
- Length is the mean length per turn
- Area is the cross-sectional area
- Number of Turns is the total number of turns in the coil
Now, since you've mentioned the resistance of the conductor is 10 micro ohms, we can assume that Rho is already given. Plugging in the values you provided, we get:
Resistance = (10 micro ohms * 100mm) / (100mm^2 * 1000 turns)
Calculating this equation will give us the resistance of the winding. Remember to convert the units if necessary, and let me know if there's anything else I can assist you with!
To calculate the resistance of the winding, you can use the formula:
Resistance = (Specific resistance × Length) / (Cross-sectional area)
Where:
- Specific resistance is the resistance of the conductor material (given as 10 micro ohms, or 10 x 10^(-6) ohms)
- Length is the mean length per turn of the coil (given as 100 mm, or 0.1 meters)
- Cross-sectional area is the area of the coil (given as 100 mm^2, or 0.0001 square meters)
Using the given values:
Resistance = (10 x 10^(-6) × 0.1) / 0.0001 = 0.01 ohms
Therefore, the resistance of the winding is 0.01 ohms.
To calculate the resistance of the winding, you can use the following formula:
Resistance (R) = (resistivity × length) / (cross-sectional area)
Given that the resistance of the conductor is 10 micro-ohms (which can be written as 10 × 10^-6 ohms), the resistivity of the conductor material can be considered constant and does not change with the number of turns in the coil.
The formula you can utilize to calculate the resistance of the winding is as follows:
R = (ρ × L × N) / A
Where:
R = Resistance of the winding
ρ = Resistivity of the conductor material
L = Mean length per turn
N = Number of turns
A = Cross-sectional area
Substituting the given values into the formula, we have:
R = (10 × 10^-6 ohms × 100 mm × 1000) / 100 mm²
Converting the length and cross-sectional area into meters:
R = (10 × 10^-6 ohms × 0.1 m × 1000) / (0.0001 m²)
Simplifying further:
R = (10 × 10^-6 ohms × 0.1 × 1000) / (0.0001)
R = (0.01 ohms × 1000) / 0.0001
R = 10 ohms × 10000
R = 100,000 ohms
Therefore, the resistance of the winding is 100,000 ohms.