Find the inductance of a coil with permeability 3.5, turns 100 and length 2m. Assume the area to be thrice the length.

To find the inductance (L) of a coil, we can use the formula:

[L = frac{{N^2 mu A}}{l}]

Where:

– (L) is the inductance in Henrys (H),

– (N) is the number of turns,

– (mu) is the permeability of the core material in Henrys per meter (H/m),

– (A) is the cross-sectional area in square meters (m(^2)),

– (l) is the length of the coil in meters (m).

From the given information:

– Permeability (mu = 3.5) H/m,

– Turns (N = 100),

– Length (l = 2) m,

– Area (A) is thrice the length, so assuming the question intends for area to be calculated based linearly off the length which seems a bit unclear, but typically area calculation would not directly use linear length in this manner. Since the area is described as “thrice the length,” a clarification on this context is needed for precise calculation.

However, to proceed with an assumption for the sake of calculation—assuming the information means that the total area is three times some dimension associated with the length—which isn’t standard. Let’s assume it intended that the cross-sectional dimension is somehow directly proportional to the length in a manner that would allow us to calculate an area that is three times a length attribute