Final answer:
In order to produce a magnetic field of 1.1 × 10⁻³ T within a solenoid with a current of 2.7 A, approximately 0.14 turns per centimeter must be wound.
The answer is option ⇒c) 0.14 turns/cm
Step-by-step explanation:
To calculate the number of turns per centimeter required to produce a magnetic field of 1.1 × 10⁻³ T within a solenoid with a current of 2.7 A, we can use the formula:
B = μ₀ * n * I
Where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ T*m/A), n is the number of turns per centimeter, and I is the current. Rearranging the formula, we get:
n = B / (μ₀ * I)
Plugging in the given values, we have:
n = (1.1 × 10⁻³ T) / (4π × 10⁻⁷ T*m/A * 2.7 A)
Simplifying this expression, we get n ≈ 0.14 turns/cm.
Therefore, the correct answer is c) 0.14 turns/cm.