Question

A single-turn wire loop produces a magnetic field of 41.2 μT at its center, and 5.15 nT on its axis, at 22.0 cm from the loop center. Hint: you can use the Biot-Savart Law to derive an expression for the field away from the center of a loop. This is done in the Wolfson textbook as an example problem, so you can use that result if you wish!

a) Find the loop radius.

Express your answer with the appropriate units.

b) Find the current in the loop.

Express your answer with the appropriate units.

Answer #1

**Derivation:**

*Magnetic Field at the center of loop
:*-

We know the Biot Savart law

or,

At the loop center,
= 90^{0}

So,

or,

or,

**Magnetic field on axis of loop:-**

** ****(a)**

Given,

B = 41.2 x 10^{-6} T

B_{z} = 5.15 x 10^{-9} T

Z = 22.0 cm = 0.22 m

Putting these values in the above derived equationes, we get

.....................................(1)

and .....................................(2)

Dividing equation (2) by (1), we get

or,

or,

or,

or,

**(a****)**

Putting the value of R in equation (1),

or,

or,

or,

or,

For any doubt please comment.

And please give an upvote. Thank you.

A square loop of wire consisting of a single turn is
perpendicular to a uniform magnetic field. The square loop is then
re-formed into a circular loop, which also consists of a single
turn and is also perpendicular to the same magnetic field. The
magnetic flux that passes through the square loop is 5.15 ×
10-3 Wb. What is the flux that passes through the
circular loop?

6: A single-turn circular loop of wire rests flat on this page.
A magnetic field is directed perpendicular to this page pointing
outwards (towards you). When the magnetic field strength increases
from 3.2 T to 6.5 T in 0.026 seconds, a 1 V emf is induced in the
coil.
a) Calculate the radius of the loop.
b) State the direction of the induced current and briefly
explain how you arrived at your answer.

The magnetic field at the center of a 0.70-cm-diameter loop is
2.9 mT .
Part A
What is the current in the loop?
Express your answer in amperes.
Part B
A long straight wire carries the same current you found in part
a. At what distance from the wire is the magnetic field 2.9 mT
?
Express your answer in meters.

A
physicist measures the magnetic field at the center of a loop of
wire with N number of turns (not a solenoid) and current I flowing
through it. They then triple the number of coils and half the
radius of the coil while keeping the current the same. How does the
magnetic field compare in the new situation, B2, compared to the
first measurement, B1?

The magnetic field at the center of a 1.3-cm-diameter loop is
2.8 mT.
a) What is the current in the loop?
b) A long straight wire carries the same current you found in
part a. At what distance from the wire is the magnetic field 2.8 mT
?

The magnetic field perpendicular to a single 14.2-cm-diameter
circular loop of copper wire decreases uniformly from 0.670 T to
zero. If the wire is 2.75 mm in diameter, how much charge moves
past a point in the coil during this operation? The resistivity of
copper is 1.68×10−8Ω⋅m. Express your answer to three significant
figures and include the appropriate units.

The magnetic field perpendicular to a single 15.7-cm-diameter
circular loop of copper wire decreases uniformly from 0.550 T to
zero.
If the wire is 2.75 mm in diameter, how much charge moves past a
point in the coil during this operation? The resistivity of copper
is 1.68×10−8Ω⋅m. Express your answer to three significant figures
and include the appropriate units.

Use the Biot-Savart Law (the many-step process) to derive a
formula for the magnetic field created at [X,0,0], where X > 5
cm, by a current of 2.00 A that flows in a wire as described here.
The wire was originally formed in a circle of radius 5 cm lying in
the x-y plane with its center at the origin. Then the semicircle on
the +x side was bent down so that it lies in the y-z plane on the...

A loop of wire sits in a uniform magnetic field, everywhere
pointing toward you. Due to a changing magnetic flux through the
loop, an induced current flows in the wire, clockwise as shown. The
area of the loop is J. 1.63 m2 , and the magnetic field initially
has magnitude K. 0.61 T.
(a) Suppose that, over a time period of L. 1.47 s, the magnetic
field changes from its initial value, producing an average induced
voltage of M. 8.7...

A flat,106 turn current‑carrying loop is immersed in a uniform
magnetic field. The area of the loop is 5.95×10−4 m2, and the angle
between its magnetic dipole moment and the field is 43.1∘. Find the
strength of the magnetic field that causes a torque of 1.53×10−5
N⋅m to act on the loop when a current of 0.00395 A flows in it.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 21 minutes ago

asked 27 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 34 minutes ago

asked 34 minutes ago

asked 37 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago