A small, rectangular single
loop of wire with dimensions l and a is placed, as shown below, in
the plane of a much larger, rectangular single loop of wire. The
two short sides of the larger loop are so far from the smaller loop
that their magnetic fields over the smaller loop can be ignored.
What is the mutual inductance of the two loops? (Use any variable
or symbol stated above along with the following as necessary: μ0,
d, and I1.)
Homework Answers
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A small, rectangular single
loop of wire with dimensions l and a is placed, as shown...
2. A rectangular loop of wire, with dimensions shown in the figure helow carries a current...
2. A rectangular loop of wire, with dimensions shown in the figure helow carries a current of 2.0 A and is placed in a 0.80 T magnetic field. The magnetic field runs horizontally from left to right in the plane of the paper. The loop rotates in the magnetic field. Assume that the dimensions given in the figure are exact. (a) At one point in its rotation, the loop is perpendicular to the magnetic field. What is the magnitude of...
A flat rectangular loop of wire is placed between the poles of amagnet, as shown...
A flat rectangular loop of wire is placed between the poles of a
magnet, as shown in the figure. It has dimensions w =
0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the
direction shown. The magnetic field due to the magnet is uniform
and of magnitude 0.80 T. The loop rotates in the magnetic field and
at one point the plane of the loop is parallel to the field, as
shown.A)...
Part of a single rectangular loop of wire with dimensions shown in the (Figure 1) is...
Part of a single rectangular loop of wire with dimensions shown in the (Figure 1) is situated inside a region of uniform magnetic field of 0.740 T . The total resistance of the loop is 0.780 Ω . Calculate the force required to pull the loop from the field (to the right) at a constant velocity of 5.20 m/s . Neglect gravity.
Part of a single rectangular loop of wire with dimensions shown in the figure (Figure 1)...
Part of a single rectangular loop of wire with dimensions shown in the figure (Figure 1) is situated inside a region of uniform magnetic field of 0.336 T . The total resistance of the loop is 0.532 Ω . Calculate the force required to pull the loop from the field (to the right) at a constant velocity of 1.59 m/s . Neglect gravity.
Rectangular current loop A current I flows in a square current loop of wire placed on...
Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. (b) For za, b, what does your expression simplify to? (c) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop radius.
3. Rectangular current loop A current I flows in a square current loop of wire placed...
3. Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. b) For z a, b, what does your expression simplify to? (e) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop...
2. An infinitely long wire carries a current 1-10A. A 5-turn loop of radius a = 2 cm is placed with its center at a distance d = 5 cm from the wire. The wire and the loop all lie in the same plane. (...
2. An infinitely long wire carries a current 1-10A. A 5-turn loop of radius a = 2 cm is placed with its center at a distance d = 5 cm from the wire. The wire and the loop all lie in the same plane. (a) Find the magnetic field intensity at the center of the loop due to the current in the long wire alone. (b) Estimate the mutual inductance of the wire and the loop (c) What should be...
A conducting rectangular loop with small gap with dimensions I and h is placed symmetrical with...
A conducting rectangular loop with small gap with dimensions I and h is placed symmetrical with respect to y axis and is being rotated by y axis with constant angular velocity ??. Its initial position is parallel to xy plane. a) Find induced emf if the magnetic flux density is given as B- Boe. b) Find induced emf if the magnetic flux density is given as B sin(wot) ex 5)
4. (a) A long straight wire carrying a current is placed near a current-carrying rectangular loop...
4. (a) A long straight wire carrying a current is placed near
a current-carrying rectangular loop. Describe how, and why, the
loop would move as a result of the magnetic forces from the long
wire. The current in the loop is counterclockwise.
(b) Suppose that you were to put in a different
loop below the long wire (and still in the plane of the page).
Draw the shape of a loop that would...
...experience a total magnetic force of zero...
2. A rectangular loop of wire, with dimensions shown in the figure helow carries a current of 2.0 A and is placed in a 0.80 T magnetic field. The magnetic field runs horizontally from left to right in the plane of the paper. The loop rotates in the magnetic field. Assume that the dimensions given in the figure are exact. (a) At one point in its rotation, the loop is perpendicular to the magnetic field. What is the magnitude of...
A flat rectangular loop of wire is placed between the poles of a
magnet, as shown in the figure. It has dimensions w =
0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the
direction shown. The magnetic field due to the magnet is uniform
and of magnitude 0.80 T. The loop rotates in the magnetic field and
at one point the plane of the loop is parallel to the field, as
shown.A)...
Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. (b) For za, b, what does your expression simplify to? (c) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop radius.
3. Rectangular current loop A current I flows in a square current loop of wire placed on the ry plane and centered about the origin. The lengths of the two sides are a and b (a) Find the magnetic field at any location (0,0, z) on the z-axis. b) For z a, b, what does your expression simplify to? (e) Compare your answer to (b) with the on-axis field for a circular loop at distances much greater than the loop...
2. An infinitely long wire carries a current 1-10A. A 5-turn loop of radius a = 2 cm is placed with its center at a distance d = 5 cm from the wire. The wire and the loop all lie in the same plane. (a) Find the magnetic field intensity at the center of the loop due to the current in the long wire alone. (b) Estimate the mutual inductance of the wire and the loop (c) What should be...
A conducting rectangular loop with small gap with dimensions I and h is placed symmetrical with respect to y axis and is being rotated by y axis with constant angular velocity ??. Its initial position is parallel to xy plane. a) Find induced emf if the magnetic flux density is given as B- Boe. b) Find induced emf if the magnetic flux density is given as B sin(wot) ex 5)
4. (a) A long straight wire carrying a current is placed near
a current-carrying rectangular loop. Describe how, and why, the
loop would move as a result of the magnetic forces from the long
wire. The current in the loop is counterclockwise.
(b) Suppose that you were to put in a different
loop below the long wire (and still in the plane of the page).
Draw the shape of a loop that would...
...experience a total magnetic force of zero...
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