Question

A circular area of radius R=8.5 cm has a magnetic field into the page. This field is time-varying such that dB/dt = 0.13 T/s. Take the positive direction to be into the page, and assume an idealized field that is zero immediately outside R. (a) Describe the Electric field generated by this time-varying B-field (draw a diagram). (b) Find an expression for the magnitude of E of the induced electric field for r < R. Evaluate at r=5 cm. (c) Find the expression for the magnitude of E outside the circular area (r>R). (d) Plot the magnitude E(r) for all r values.

Answer #1

Suppose that you have a circular magnetic field ‘B’ of radius R
= 9.0 cm, pointing inside the page and if this field is increased
at the rate dB/dt = 0.15 T/sec. calculate (a) the magnitude of
induced electric field at a point within the magnetic field at a
distance r =5.0 cm, from the center of the field and (b) the
magnitude of the induced electric field at a point out side the
magnetic field at a distance r...

1.
A cylindrical region of space of radius R contains a uniform
magnetic field B with direction into the page. If the magnitude B
inside the cylinder changes in time and outside the cylinder it is
zero, describe the induced electric field (magnitude and direction)
for points inside the cylinder (r < R). Find the magnitude and
direction of the induced electric field at r = 5.00 cm if the
magnetic field changes at a constant rate from 0.500T to...

The figure shows a circular region of radius R = 4.17 cm in
which an electric flux is directed out of the plane of the page.
The flux encircled by a concentric circle of radius r is given by
E,enc = (0.600 V·m/s)(r/R)t, where r ≤ R and t is in seconds. What
is the magnitude of the induced magnetic field at radial distance
2.17 cm? 1.325*10^17 T is wrong

1)in the figure below and electric field is directed out of the
page within a circular region of radius R=2.75cm. the field
magnitude is E=(0.410 v/m*s)(1-r/R)t where the t is in seconds and
the r is the radial distance
a) what is the magnitude of the induced magnetic filed at a
radial distance of 2cm?
b)what is the magnitude of the induced magnetic filed at a
radial distance of 5cm?

A 149-turn circular coil of radius 2.67 cm is immersed in a
uniform magnetic field that is perpendicular to the plane of the
coil. During 0.153 s the magnetic field strength increases from
51.1 mT to 99.3 mT. Find the magnitude of the average EMF, in
millivolts, that is induced in the coil during this time
interval.

A 37-turn circular coil of
radius 4.60 cm and resistance 1.00 Ω is placed
in a magnetic field directed perpendicular to the plane of the
coil. The magnitude of the magnetic field varies in time according
to the expression B = 0.010
0t + 0.040 0t2,
where B is in teslas and t is in
seconds. Calculate the induced emf in the coil
at t = 4.20 s.

A 133 turn circular coil of radius 2.77 cm is immersed in a
uniform magnetic field that is perpendicular to the plane of the
coil. Over an interval of 0.121 s, the magnetic field strength
increases from 55.7 mT to 95.9 mT. Find the magnitude of the
average emf avgEavg induced in the coil during this time interval,
in millivolts.
avg=Eavg= ?

In the figure below, a long circular pipe with outside radius
R = 2.20 cm carries a (uniformly distributed) current
i = 13.5 mA into the page. A wire runs parallel to the
pipe at a distance of 3.00R from center to center. Find
the (a) magnitude and (b)
direction (into or out of the page) of the current in the wire such
that the ratio of the magnitude of the net magnetic field at point
P to the magnitude...

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...

A circular wire loop with a radius of 10 cm is placed in a
magnetic field of 1.0 T that is parallel to its axis into the page.
The loop is stretched to half of its initial area within a time of
0.1 seconds. What is the induced voltage and the direction of
induced current?
(a) 157 mV, clockwise current
(b) 120 mV, counter clockwise current
(c) 79 mV, clockwise current
(d) 0 V, no current
The answer is A...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 16 minutes ago

asked 21 minutes ago

asked 49 minutes ago

asked 54 minutes ago

asked 57 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