Question

A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic field in the central area inside the solenoid, in t?

Answer 1

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Magnetic field inside solenoid

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

• μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A,
• n = number of turns per unit length = 3,170 turns/m and
• i = current in solenoid = 6.7 A

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

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