Asolenoid 10.0 cm in diameter and 70.0 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. the wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. to produce a field of 5.10 mt at the center of the solenoid, what power must be delivered to the solenoid?

The power must be delivered to the solenoid is 0.253 watt.

Explanation:

Given that,

Diameter = 10.0 cm

Length = 70 .0 cm

Diameter of copper wire = 0.100 cm

Magnetic field = 5.10 mT

We need to calculate the number of turns

Where, l = length

d = diameter of copper wire

Put the value into the formula

We need to calculate the current

Using formula of magnetic field

Where, B = magnetic field

n = number of turns

l = length

Put the value into the formula

We need to calculate the resistance

Using formula of resistance

We know ,

The resistivity of the copper wire

Put the value into the formula

We calculate the power

Using formula of power

Hence, The power must be delivered to the solenoid is 0.253 watt.