Question

A 1000-turn solenoid of length 20cm has a cross-sectional area of 2.0 square centimetre. Find the inductance of the coil if the core is air.

Answer 1

Answer on Question #59465, Physics / Electromagnetism

A 1000-turn solenoid of length $20\mathrm{cm}$ has a cross-sectional area of 2.0 square centimetre. Find the inductance of the coil if the core is air.

Find: $L - ?$

Given:

$$N = 1000$$ $$I = 0,2 \mathrm{m}$$ $$S = 2 \times 10^{-4} \mathrm{m}^2$$ $$\mu = 1$$ $$\mu_0 = 4\pi \times 10^{-7} \mathrm{H/m}$$

Solution:

The inductance of solenoid coil:

$$L = \frac{\mu \mu_0 S N^2}{I} \quad (1)$$

Of $(1) \Rightarrow L = 1,256 \times 10^{-3} \mathrm{H}$

Answer:

$$1,256 \times 10^{-3} \mathrm{H}$$

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