Question

A solenoid 10.0 cm in diameter and 62.1 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. What power must be delivered to the solenoid if it is to produce a field of 6.40 mT at its center?

Answer #1

Magnetic field inside solenoid is given by:

B = u0*n*i = u0*N*i/L

Current in solenoid will be

i = B*L/(uo*N)

Using given values:

N = number of turns = 62.1 cm/0.1 cm = 621 turns

i = 6.40*10^-3*0.621/(4*pi*10^-7*621) = 5.09 Amp

Resistance of wire will be

R = rho*L/A

rho for copper wire = 1.7*10^-8 ohm-m

L = 2*pi*r*N = 2*pi*0.05*621 = 195.09 m

A = pi*d^2/4 = pi*(0.1*10^-2)^2/4 = 7.85*10^-7 m^2

R = 1.7*10^-8*195.09/(7.85*10^-7) = 4.22 ohm

Now power is given by:

P = i^2*R

P = 5.09^2*4.22

**P = 109.33 W**

**Please Upvote.**

A solenoid 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?

A solenoid 10.0 cm in diameter and 84.4 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. What power must be delivered to
the solenoid if it is to produce a field of 6.50 mT at its
center?

A 17.0 m -long copper wire, 3.00 mm in diameter including
insulation, is tightly wrapped in a single layer with adjacent
coils touching, to form a solenoid of diameter 2.80 cm (outer
edge).
What is the length of the solenoid?
What is the field at the center when the current in the wire is
17.0 A ? show work

A 16.0 mm -long copper wire, 2.90 mmmm in diameter including
insulation, is tightly wrapped in a single layer with adjacent
coils touching, to form a solenoid of diameter 2.10 cmcm (outer
edge).
A)What is the length of the solenoid?
B)What is the field at the center when the current in the wire
is 19.0 AA ?

A long, narrow solenoid is made from copper wire, with
resistivity 1.70 x 10-8 Ω The wire has a diameter of
0.12 mm and the effective diameter of the solenoid is 1.85 cm. The
solenoid is made of 3000 closely packed turns. If a voltage supply
is initially 12.00 volts and the voltage is increased steadily at
the rate of 0.25 volts/sec, at what rate will the magnetic field
increase inside the solenoid.

A long, narrow solenoid is made from copper wire, with
resistivity 1.70 x 10-8 Ω The wire has a diameter of
0.12 mm and the effective diameter of the solenoid is 1.85 cm. The
solenoid is made of 3000 closely packed turns. If a voltage supply
is initially 12.00 volts and the voltage is increased steadily at
the rate of 0.25 volts/sec, at what rate will the magnetic field
increase inside the solenoid.

Constants
A very long, straight solenoid with a diameter of 3.00 cm is wound
with 40 turns of wire per centimeter, and the windings carry a
current of 0.245 A . A second coil having N turns and a larger
diameter is slipped over the solenoid so that the two are coaxial.
The current in the solenoid is ramped down to zero over a period of
0.3 s .
What average emf is induced in the second coil if it...

A very long, straight solenoid with a diameter of 3.00 cm is
wound with 40 turns of wire per centimeter, and the windings carry
a current of 0.225 A. A second coil having N turns and a
larger diameter is slipped over the solenoid so that the two are
coaxial. The current in the solenoid is ramped down to zero over a
period of 0.60 s.
a) What average emf is induced in the second coil if it has a
diameter...

A very long, straight solenoid with a diameter of 3.00 cm is
wound with 40 turns of wire per centimeter, and the windings carry
a current of 0.225 AA . A second coil having N turns and a
larger diameter is slipped over the solenoid so that the two are
coaxial. The current in the solenoid is ramped down to zero over a
period of 0.6 s
.1.What average emf is induced in the second coil if it has a...

A very long, straight solenoid with a diameter of 3.00 cm is
wound with 40 turns of wire per centimeter, and the windings carry
a current of 0.265 A . A second coil having N turns and a
larger diameter is slipped over the solenoid so that the two are
coaxial. The current in the solenoid is ramped down to zero over a
period of 0.2 s .
What average emf is induced in the second coil if it has...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 55 seconds ago

asked 55 seconds ago

asked 2 minutes ago

asked 3 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 8 minutes ago

asked 14 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 21 minutes ago