A uniform stripe of eureka (resistivity 5-0 × 〖10〗^(-7) Ωm) has a resistance of 0.80 Ω per metre and is 0.25 cm wide. What is its thickness?
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2 answers
0.025cm
We can use the following formula to solve for the thickness of the stripe:
Resistance = (resistivity x length) / area
We are given the resistance (0.80 Ω/m), resistivity (5.0 x 10^-7 Ωm), and width (0.25 cm) of the stripe. We need to solve for the area and then use that to find the thickness.
First, we need to convert the units to meters:
width = 0.25 cm = 0.0025 m
Next, we can rearrange the formula to solve for the area:
area = (resistivity x length) / resistance
area = (5.0 x 10^-7 Ωm) / (0.80 Ω/m)
area = 6.25 x 10^-7 m^2
Finally, we can use the formula for the area of a rectangle to solve for the thickness:
area = width x thickness
thickness = area / width
thickness = (6.25 x 10^-7 m^2) / (0.0025 m)
thickness = 0.00025 m = 0.025 cm
Therefore, the thickness of the eureka stripe is 0.025 cm.
Resistance = (resistivity x length) / area
We are given the resistance (0.80 Ω/m), resistivity (5.0 x 10^-7 Ωm), and width (0.25 cm) of the stripe. We need to solve for the area and then use that to find the thickness.
First, we need to convert the units to meters:
width = 0.25 cm = 0.0025 m
Next, we can rearrange the formula to solve for the area:
area = (resistivity x length) / resistance
area = (5.0 x 10^-7 Ωm) / (0.80 Ω/m)
area = 6.25 x 10^-7 m^2
Finally, we can use the formula for the area of a rectangle to solve for the thickness:
area = width x thickness
thickness = area / width
thickness = (6.25 x 10^-7 m^2) / (0.0025 m)
thickness = 0.00025 m = 0.025 cm
Therefore, the thickness of the eureka stripe is 0.025 cm.
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