Calculate R of a thin-film gold resistor:L = 1 mm, width = 0.2 mm, and thickness = 0.01 mm.
I am not sure what formula to use for this?
Use the resisitivity relation. Look up the resistivity of gold.
To calculate the resistance (R) of a thin-film gold resistor, you can use the formula for electrical resistance:
R = (ρ * L) / (A)
Where:
- R is the resistance
- ρ (rho) is the resistivity of the material (in Ω·m)
- L is the length of the resistor (in meters)
- A is the cross-sectional area of the resistor (in square meters)
In this case, we need to find the resistance of a thin-film gold resistor with given dimensions:
- Length (L) = 1 mm = 0.001 m
- Width (W) = 0.2 mm = 0.0002 m
- Thickness (t) = 0.01 mm = 0.00001 m
To proceed, we need to determine the resistivity (ρ) of gold. The resistivity value for gold is approximately 2.44 x 10^(-8) Ω·m.
Now we can calculate the cross-sectional area (A) of the resistor:
A = (Width) × (Thickness)
A = (0.0002 m) × (0.00001 m)
A = 2 × 10^(-9) m²
Using the values we obtained, we can calculate the resistance R:
R = (ρ * L) / (A)
R = (2.44 x 10^(-8) Ω·m) × (0.001 m) / (2 × 10^(-9) m²)
R = 12.2 Ω
Therefore, the resistance (R) of the thin-film gold resistor with the given dimensions is approximately 12.2 Ω.