Answer
Magnetic field inside the solenoid = 0.0011 T
Work Step by Step
Step 1: Calculate the number of turns per unit length of the solenoid.
Number of turns per unit length = 200 turns / 25 cm = 8 turns/cm
Step 2: Calculate the area of the solenoid.
Area of the solenoid = πr2 = π × (5 cm)2 = 78.54 cm2
Step 3: Calculate the magnetic field inside the solenoid.
Magnetic field inside the solenoid = μ0 × N × I / l
Where,
μ0 = 4π × 10-7 Tm/A
N = 8 turns/cm
I = 0.29 A
l = 25 cm
Therefore,
Magnetic field inside the solenoid = 4π × 10-7 × 8 × 0.29 / 25
= 0.0011 T