Question

a thin wire was wound 30 times closely over a boiling tube . A total length of the winding was found to be 9.3 mm. Calculate the radius of the wire

Answer 1

To Find:

Calculate the radius of the wire.

Solution:

If wire is wound over tube by one times, length of winding is :

Length of winding = Diameter of wire (For 1 turn)

If wire is wound over tube by N times, length of winding is :

Length of winding = N× Diameter of wire (For N turns)

For wiring is wound over tube by 30 times, length of winding is :

On putting respective value in above equation:

9.3 = 30 × Diameter of wire

Diameter of wire = 0.31 mm

Radius of wire = 0.155 mm

Means the radius of wire is 0.155 mm.

Answer 2

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If wire is wound over tube by one times, length of winding is :

Length of winding = Diameter of wire  (For 1 turn)

If wire is wound over tube by N times, length of winding is :

Length of winding = N× Diameter of wire  (For N turns)

For wiring is wound over tube by 30 times, length of winding is :

On putting respective value in above equation:

9.3 = 30 × Diameter of wire

Diameter of wire = 0.31 mm

Radius of wire = 0.155 mm

Means the radius of wire is 0.155 mm.