A square loop with sides of length w = 3 cm moves with constant velocity v...
- A square loop with sides of length w = 3 cm moves with constant velocity v = 4 m/s away from a long wire that carries a current I = 110 mA in the plane of the loop. The total resistance of the loop is R = 2 ohms.
a. Calculate the magnetic flux through the loop when the closest side of the loop is parallel to, and a distance of r = 5 cm from, the wire.
b. What is the magnitude of the induced current in the loop?
c. What is the magnetic flux through the closed surface of a sphere only one centimeter in diameter, located at the center of the square loop above? (Hint: Gauss's Law for magnetism may help here.)
Homework Answers
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A square loop with sides of length w = 3 cm moves with constant
velocity v...
A square conducting loop of side length a moves with a constant velocity v, away from...
A square conducting loop of side length a moves with a constant
velocity v, away from a long straight wire, as shown in the diagram
to the right. THe wire carries an upwards current of magnitude
I.
By how much does the magnetic flux through the loop change over
an infinitesimal time interval dt, in which the loop will move a
distance vdt to the right?
rectangular loop with sides of length a= 1.10 cm and b= 2.80 cm is placed near...
rectangular loop with sides of
length a= 1.10 cm and b= 2.80 cm is placed near a wire that carries
a current that varies as a function of time: it=2.01 +
1.22t2 where the current is in Amperes and the time is
in seconds. The distance from the straight wire to the closest side
of the loop is d= 0.270 cm.
What is the magnetic flux through the loop at time t= 1.40
seconds? (Define positive flux into the page.)...
A square loop of wire with side length 10 cm is moving to the right with...
A square loop of wire with side length 10 cm is moving to the right with constant speed of 16 m/s. The loop has total resistance of .8 ohms. It begins in a region with no magnetic field, then enters a region of magnetic field (wider than 10 cm) with a strength of .5 T pointing out of the page. a) while entering the field what is the direction of the induced current as seen from above the plane of...
PROBLEM 2 - 10 points A square loop travels at a constant velocity of 10 cm/s...
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A square, single-turn wire loop ℓ = 1.00 cm on a side is placed
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3.00 cm, as shown in the end view of the figure below. The solenoid
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T · m2
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In the figure, a rectangular loop of wire with length a = 3.8 cm, width b...
In the figure, a rectangular
loop of wire with length a = 3.8 cm, width b = 1.3 cm, and
resistance R = 0.71 m? is placed near an infinitely long wire
carrying current i = 6.7 A. The loop is then moved away from the
wire at a constant speed v = 4.8 mm/s. When the center of the loop
is at distance r = 2.8 cm, what are (a) the magnitude of the
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A long, straight wire carries a current I. A rectangular loop with two sides parallel to...
A long, straight wire carries a current I. A rectangular loop with two sides parallel to the straight wire has sides a and b with its near side a distance d from the straight wire, as shown in Figure below. Compute the magnetic flux through the rectangular loop, and evaluate your answer for a = 0.042 cm, b = 0.096 cm, d = 0.019 cm, and I = 15 A.
A rectangular loop of wire with sides H = 28 cm and W = 67 cm is located in a region
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A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a...
A square, single-turn wire loop ℓ = 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius r = 3.00 cm, as shown in the end view of the figure below. The solenoid is 24.0 cm long and wound with 122 turns of wire. (a) If the current in the solenoid is 2.35 A, what is the magnetic flux through the square loop? T · m2 (b) If the current in the...
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(11%) Problem 7: A square loop of side length a =2.2 cm is placed a distance b= 1.1 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, where Q = 3.6 A/s is a constant. a b A 25% Part (a) Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a,...
A square conducting loop of side length a moves with a constant
velocity v, away from a long straight wire, as shown in the diagram
to the right. THe wire carries an upwards current of magnitude
I.
By how much does the magnetic flux through the loop change over
an infinitesimal time interval dt, in which the loop will move a
distance vdt to the right?
rectangular loop with sides of
length a= 1.10 cm and b= 2.80 cm is placed near a wire that carries
a current that varies as a function of time: it=2.01 +
1.22t2 where the current is in Amperes and the time is
in seconds. The distance from the straight wire to the closest side
of the loop is d= 0.270 cm.
What is the magnetic flux through the loop at time t= 1.40
seconds? (Define positive flux into the page.)...
PROBLEM 2 - 10 points A square loop travels at a constant velocity of 10 cm/s to the right through a region of magnetic field. The magnetic field is confined to the outlined rectangular region outlined. The magnetic field is directed into the page in the left half of this region, and out of the page in the right half. The small squares on the diagram measure 10 cm x 10 cm, and the loop is shown at time t=0....
A square, single-turn wire loop ℓ = 1.00 cm on a side is placed
inside a solenoid that has a circular cross section of radius r =
3.00 cm, as shown in the end view of the figure below. The solenoid
is 24.5 cm long and wound with 104 turns of wire.
(a) If the current in the solenoid is 2.30 A, what is the
magnetic flux through the square loop?
T · m2
(b) If the current in the...
In the figure, a rectangular
loop of wire with length a = 3.8 cm, width b = 1.3 cm, and
resistance R = 0.71 m? is placed near an infinitely long wire
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wire at a constant speed v = 4.8 mm/s. When the center of the loop
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(11%) Problem 7: A square loop of side length a =2.2 cm is placed a distance b= 1.1 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, where Q = 3.6 A/s is a constant. a b A 25% Part (a) Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a,...
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