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normal 2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
3. (a) A square loop of wire lies in the ry plane and is centred at...
3. (a) A square loop of wire lies in the ry plane and is centred at the origin. Two segments are parallel to the axis and are at y = ±R. The other two segments are parallel to the y axis and are at z-th. The loop carries a steady current lo. What is the magnetic field at the origin? (b) The square loop of part (a) is replaced by a hexagon: the distance from the origin to the nearest...
7. Using the Biot-Savart-Law, determine the magnetic field at point C due the current loop seen...
7. Using the Biot-Savart-Law, determine the magnetic field at point C due the current loop seen in the figure below, where the two arcs are segments of two circles with radii Ri and R2 respectively, and with their centers located at C. The current, I, circulates through the loop in counter-clockwise direction. Your expression should depend only on the two radii, the current and the angle θ
A circular loop of wire lies in the plane of the paper. An increasing magnetic field...
A circular loop of wire lies in the plane of the paper. An increasing magnetic field points out of the paper. What is the direction of the induced current in the loop? A) counter-clockwise B) clockwise C) counter-clockwise then clockwise D) clockwise then counter-clockwise E) There is no current induced in the loop.
A circular loop of wire of radius R carries a current I in a region where...
A circular loop of wire of radius R carries a current I in a region where a uniform magnetic field of magnitude B0 is present. (a) If the magnetic dipole moment of the loop makes an angle θ < π/2 with the magnetic field, do a drawing that includes the loop of current, its magnetic dipole moment, the magnetic field, and the direction of the torque experienced by the loop. Make sure to indicate the current i and the angle...
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It...
The 5th page of lecture 24:
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
A nonuniform magnetic field exerts a net force on a current loop ofradius R. The figure...
A nonuniform magnetic field exerts a net force on a current loop
ofradius R. The figure shows a magnetic field that is diverging
fromthe end of the bar magnet. The magnetic field at the position
ofthe current loop makes an angle θ with respect to
thevertical.
a) Find an expression for the net magnetic force on
thecurrent.
b)Calculate the force if R=2.0cm, I =0.50A, B=200mT, and
θ=20degrees
A circular loop of wire with area A lies in the y-plane. As viewed along the...
A circular loop of wire with area A lies in the y-plane. As viewed along the z axis looking in the -z direction toward the origin, a current I is circulating clockwise around the loop. The torque produced by an external magnetic field B is given by tau = D(4i - 4j), where D is a positive constant, and for this orientation of the loop the magnetic potential energy U = -mu middot B is negative. The magnitude of the...
A circular loop of wire with area A lies in the xy-plane. As viewed along the...
A circular loop of wire with area A lies in the xy-plane. As viewed along the z-axis looking in the −z-direction toward the origin, a current I is circulating clockwise around the loop. The torque produced by an external magnetic field B⃗ is given by τ⃗ =D(3i^−3j^), where D is a positive constant, and for this orientation of the loop the magnetic potential energy U=−μ⃗ ⋅B⃗ is negative. The magnitude of the magnetic field is B0=15D/IA. Determine the component Bx of B⃗...
Consider a loop of wire and a uniform magnetic field as shown below. The loop is...
Consider a loop of wire and a uniform magnetic field as shown below. The loop is shown at five different times as it travels to the right through the magnetic field. The loop is perpendicular toC the field. t5 1. Using the right-hand rule for each side (a, b, c d) of the loop, determine the direction of in- duced emf for each of the five times above. t4 ts hong side b: t1 A0ng t2 t3 2. Using your...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
3. (a) A square loop of wire lies in the ry plane and is centred at the origin. Two segments are parallel to the axis and are at y = ±R. The other two segments are parallel to the y axis and are at z-th. The loop carries a steady current lo. What is the magnetic field at the origin? (b) The square loop of part (a) is replaced by a hexagon: the distance from the origin to the nearest...
7. Using the Biot-Savart-Law, determine the magnetic field at point C due the current loop seen in the figure below, where the two arcs are segments of two circles with radii Ri and R2 respectively, and with their centers located at C. The current, I, circulates through the loop in counter-clockwise direction. Your expression should depend only on the two radii, the current and the angle θ
The 5th page of lecture 24:
2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
A nonuniform magnetic field exerts a net force on a current loop
ofradius R. The figure shows a magnetic field that is diverging
fromthe end of the bar magnet. The magnetic field at the position
ofthe current loop makes an angle θ with respect to
thevertical.
a) Find an expression for the net magnetic force on
thecurrent.
b)Calculate the force if R=2.0cm, I =0.50A, B=200mT, and
θ=20degrees
A circular loop of wire with area A lies in the y-plane. As viewed along the z axis looking in the -z direction toward the origin, a current I is circulating clockwise around the loop. The torque produced by an external magnetic field B is given by tau = D(4i - 4j), where D is a positive constant, and for this orientation of the loop the magnetic potential energy U = -mu middot B is negative. The magnitude of the...
Consider a loop of wire and a uniform magnetic field as shown below. The loop is shown at five different times as it travels to the right through the magnetic field. The loop is perpendicular toC the field. t5 1. Using the right-hand rule for each side (a, b, c d) of the loop, determine the direction of in- duced emf for each of the five times above. t4 ts hong side b: t1 A0ng t2 t3 2. Using your...
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