Question

Two wires A and B with same dimension of 50 cm length and 0.5 cm radius are used to study

the effect of magnetic field, B. Wire A is bent to form a 2 turns circular coil while Wire B into
10 turns solenoid. Both wires are supplied with a 5 A current,
i) Which wire will produce a higher magnetic field at the centre?
ii) Sketch the patterns of the magnetic field for both wires.
iii) Suggest 2 changes that you can make to wire A so that its magnetic field is equal to wire
B.​

Answer 1

10 The given parameters are;

The dimensions of the two wires, A and B, are;

The length of the wires = 50 cm

The diameter of the wires = 0.5 cm

The number of turns in the coil of wire A = 2 turns

The number of turns in the coil of wire B = 10 turns

The strength of the magnetic field produced solenoid, B = μ₀ × n × I

Where;

μ₀ = The absolute magnetic permeability

n = The number of turns per unit length of the solenoid

I = The current flowing in the solenoid

Therefore, given that the strength of the magnetic field is directly to the number of turns per unit length, wire B with 10 turns solenoid will produce a higher magnetic field

ii) Pease find attached, sketches of the magnetic field passing through both wires (solenoids)

iii) The two changes that can be made to make the magnetic fields of both solenoid equal are

(a) Increasing the current flowing through the wire A

(b) Increasing the number of turns on the solenoid made with wire A

Step-by-step explanation: