Question

Problem 7: A coil with 200 turns, radius 10cm and resistance 30Ω surrounds a solenoid with 2000 turns and radius 8cm. The length of the solenoid is 5cm. The current is the solenoid changes at a constant rate from I=0 to I=4A in 0.4s. Determine the induced current in the coil.

Answer #1

A solenoid of length 40cm40cm has 200200 turns of radius
2.8cm2.8cm. An outer coil with 1414 turns of radius 5.2cm5.2cm is
placed around the solenoid. The axes of the coil and solenoid
coincide. Find the emf induced in the coil if the current in the
solenoid varies according to
I=5.4sin(110πt)AI=5.4sin(110πt)A.
____ANS_____cos(110πt)mV

A 40-turn, 4.0-cm-diameter coil with R=0.40Ω surrounds
a 3.0-cm-diameter solenoid. The solenoid is 20 cm long and has 200
turns. The 60 Hz current through the solenoid is
I=I0sin(2πft).
What is I0 if the maximum induced current in the coil
is 0.20 A?

A 40-turn, 4.0-cm-diameter coil with R=0.40Ω surrounds
a 3.0-cm-diameter solenoid. The solenoid is 20 cm long and has 200
turns. The 60 Hz current through the solenoid is
I=I0sin(2πft).
What is I0 if the maximum induced current in the coil
is 0.20 A? (If you got 143.6, You are doing it wrong!)

A long solenoid has 1200 turns, a length of 20cm, and a radius
of 10cm, and produces a magnetic field when current is run through
it. If a proton is fired into the solenoid at a velocity of 50 nm/s
in such a way that its velocity is perpendicular to the magnetic
field produced by the solenoid, what current needs to be run
through the solenoid so that the proton begins orbiting around the
center of the solenoid at a...

A coil of 40 turns is wrapped around a long solenoid of
cross-sectional area 7.5*10^-3. The solenoid is 0.50 m long and has
500 turns. The current in the solenoid is given by the function:
I(t)=3t-5(A). (a) What is the induced emf in the coil? (b) The
outer coil is replaced by a coil of 40 turns whose radius is three
times that of the solenoid. What is the induced emf in this
coil?

A solenoid of lenght 35 cm has 380 turns of radius 2.6 cm. A
tightly wound coil with 16 turns of radius 4.8 cm is placed around
the solenoid. The axes of the coil and solenoid coincide. Find the
emf induced in the coil if the current in the solenoid varies
according to I=5.4sin(100πt) A.

In the figure, a 120-turn coil of radius 1.6 cm and resistance
4.4 Ω is coaxial with a solenoid of 230 turns/cm and diameter 2.6
cm. The solenoid current drops from 1.8 A to zero in time interval
Δt = 27 ms. What current is induced in amperes in the coil
during Δt?

A circular coil of radius 4.0 cm, resistance 0.30 Ω, and 100
turns is placed in a uniform magnetic field at an angle of 30° with
the plane of the coil. The magnitude of the field changes with time
according to ?(?)=20?^(−0.3?) (in Tesla, t is time in seconds).
What is the value of the current induced in the coil at the time t
= 2.0 s?

A flat coil of radius 4 cm has 30 turns and a resistance of
0.15 Ω, and is placed on a horizontal table.
Initially, a uniform magnetic field of 0.75 T pointing upward
(viewed from an observer above the table) passes through the coil.
In 0.25 s, the magnitude of the magnetic field is changed to 0.35 T
and the direction is completely reversed.
(a) Determine the direction of the induced current in the
coil. 2%
Answer: ______________
Explain in...

In the figure a 140-turn coil of radius 5.00 cm and
resistance 2.00 Ω is placed around a smaller diameter
solenoid (d = 3.20 cm). The long solenoid in the figure
has 240 turns per centimeter and carries a current of 1.60
A.
The current in the solenoid is reduced to zero and then increased
to -1.60 A in a time of 4.00×10-2s.
What is the magnitude of the induced current in the outer coil
while the solenoid current is...

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