Question

A small circular loop of area 2.34 cm^{2} is placed in
the plane of, and concentric with, a large circular loop of radius
1.22 m. The current in the large loop is changed at a constant rate
from 203 A to -203 A (a change in direction) in a time of 1.17 s,
starting at *t* = 0.What is the magnitude of the magnetic
field at the center of the small loop due to the current in the
large loop at **(a)** *t* = 0,
**(b)** *t* = 0.585 s, and **(c)**
*t* = 1.17 s? **(d)** From *t* = 0 to
*t* = 1.17 s, is *B* reversed? Because the inner loop
is small, assume is uniform over its area. **(e)**
What emf is induced in the small loop at *t* = 0.585 s?

a) 1.04e-4 units T

b) units T

c) units T

e) units V

Answer #1

The magnetic field at the center of the loop is given by:

B = mu0 I / 2 R

at t = 0, I = 203 A

B = 4 pi x 10-7 x 203 / 2 x 1.22 = 1.044 x 10^-4 T

**Hence, at t = 0 ; B = 1.044 x
10**^{-4}**T**

**b)at t = 0.555 s, the current in the loop shpuld be 0 A
hence the magnetic field will also be zero.**

c)at t = 1.17 s, B field will be:

B = mu0 I / 2 R

at t = 1.11, I = 202 A

B = 4 pi x 10-7 x -203 / 2 x 1.22 = -1.044 x 10^-4 T

**Hence, at t = 1.17 s ; B = - 1.044 x
10^**^{-4}**T**

**d)Yes. As shown above its reversed. (- sign indicates
that).**

A small circular loop of area 2.20 cm2 is placed in the plane
of, and concentric with, a large circular loop of radius 1.23 m.
The current in the large loop is changed at a constant rate from
219 A to -219 A (a change in direction) in a time of 1.14 s,
starting at t = 0.What is the magnitude of the magnetic field at
the center of the small loop due to the current in the large loop...

A circular loop of wire with an area of .1m^2 is placed in a 2T
magnetic field. The field increases at a rate of 0.2 T/S. What is
the induced emf in the loop? What is the direction of the induced
current in the loop?

A circular loop in the plane of the paper lies in a 0.75 T
magnetic field pointing into the paper. The loop’s diameter is
changed from 20.0 cm to 6.0 cm in 0.50 s.
Determine the direction of the induced current and justify your
answer.
Determine the magnitude of the average induced emf.
If the coil resistance is 2.5 Ω, what is the average induced
current?

E16M.8 Two concentric circular
coils lie on a tabletop. The outer coil has a radius
r0 = 25 cm, consists of N = 100 turns
of wire, and conducts a sinusoidal 60-Hz alternating current with a
maximum value of i0 = 5.0 A. The inner coil is
much smaller, with a radius of r = 1.0 cm. It has a single
turn (and so is just a loop) with a resistance of R = 0.01
Ω.
A)What approximations
do we...

A circular loop of wire of area 0.25?2 lies in the x-y plane
with its center at the origin. A uniform magnetic field of 2.00 T
points in the positive z-direction. The loop begins to rotate at t
= 0s at the rate of 60 rpm.
a. What is the flux through the loop as a function of time?
b. What is the emf in the loop as a function of time?
c. If the loop has a resistance of...

A time-varying magnetic field is perpendicular to the plane of a
circular loop of diameter 10 cm made with wire of diameter 3.4 mm
and resistivity 2.07 × 10-8?·m.
The magnetic field increases as a function of time, with magnitude
B = (0.79 t) T/s
a) What is the magnitude of the emf induced in the loop?
b) What is the value of the current through the loop?
c) At what rate does energy appear as thermal energy in the...

1) A circular loop of radius 3.53 cm contains 61 turns of
tightly wound wire. If the current in the windings is 0.634 A and a
constant magnetic field of 0.462 T makes an angle of 70.3 ◦ with a
vector perpendicular with the loop, what torque acts on the
loop?
2) The clockwise circulating current in a solenoid is increasing
at a rate of 13 A/s. The crosssectional area of the solenoid is
3.14159 cm2 , and there are...

A circular loop in the plane of the paper lies in a 0.38 T
magnetic field pointing into the paper.
Part A: If the loop's diameter changes from 19.4 cm to 5.8 cm in
0.49 s , what is the direction of the induced current?
Part B: What is the magnitude of the average induced emf?

A circular loop in the plane of the paper lies in a 0.76 T
magnetic field pointing into the paper. If the loop's diameter
changes from 20.2 cm to 9.6 cm in
0.56 s. What is the direction of the induced current? What is
the magnitude of the average induced emf?

A circular loop in the plane of the paper lies in a 0.65 T
magnetic field pointing into the paper. If the loop's diameter
changes from 19.4 cm to 7.2 cm in 0.15 s , what is the direction of
the induced current? What is the magnitude of the average induced
emf? If the coil resistance is 3.3 ? , what is the average induced
current?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 26 minutes ago

asked 28 minutes ago

asked 48 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago