A piece of wire is bent to form a circle with radius r. It has a...
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A piece of wire is bent to form a circle with radius r. It has a steady current I flowing through it in a counterclockwise direction as seen from the top (looking in the negative zdirection). (Figure 1) |
Part A What is Bz(0), the z component of B⃗ at the center (i.e., x=y=z=0) of the loop? Express your answer in terms of I, r, and constants like μ0 and π.
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Homework Answers
Why is the bottom 2r and not 2πr? Can you use Ampere's Law to solve this? A piece of wire is bent to form a circle with...
Why is the bottom 2r and not
2πr? Can you use Ampere's Law to solve this?
A piece of wire is bent to form a circle with radius r. It has a steady current I flowing through it in a counterclockwise direction as seen from the top (looking in the negative z direction) (Figure 1) Part A What is B2(0), the z component of B at the center (.e., x =y=z=0) of the loop? Express your answer in terms of...
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...
A piece of thin, non-conductive wire is bent into a semicircle of radius r. It is...
A piece of thin, non-conductive wire is bent into a semicircle of radius r. It is then charged with a uniform linear charge density lambda. Integrate to find the electric potential at the center of the (half) circle.
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(5i^−2j^), 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=14D/IA. A) Determine the vector...
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in...
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in Quadrant 2 of the xy plane with its center at the origin. The wire carries a charge density 0. Final answers not given (a) Derive an expression for E, at the origin (b) Derive an expression for E, at the origin. (c) Find the magnitude and direction of the net electric field at the origin
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in...
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in Quadrant 2 of the xy plane with its center at the origin. The wire carries a charge density λ > 0. Final answers not given] (a) Derive an expression for E at the origin. (b) Derive an expression for Ey at the origin. (c) Find the magnitude and direction of the net electric field at the origin. y'
A loop of wire is in the shape of two concentric semicircles as shown. (Figure 1) The inner circle has radius a; the ou...
A loop of wire is in the shape of two concentric semicircles as
shown. (Figure 1) The inner circle has radius a; the outer circle
has radius b. A current I flows clockwise through the outer wire
and counterclockwise through the inner wire. What is the direction
of the magnetic field at the center of the semicircles?
Question 4 A loop of wire is in the shape of two concentric semicircles as shown. (Eigure 1) The inner circle has radius...
A wire bent into the shape of a semicircle of radius Rforms a closed circuit and...
A wire
bent into the shape of a semicircle of radius Rforms
a closed circuit and carries a current I.
The circuit lies in the xy
plane,
and a uniform magnetic field is present along the positive
y
axis as
in Figure 29.12. Find the magnetic force on the straight portion of
the wire and on the curved portion. Please answer the part I
circled in red!!! Thank you!
2. 2.2/5 points | Previous Answers PSE6 29 AE 02 Example...
A loop of wire with radius R lies in the xy-plane and carries a time varying...
A loop of wire with radius R lies in the xy-plane and carries a time varying current I(t) I, sin(ot). A smaller loop of wire with radius a lies in the xy-plane at the center of the larger loop. Assume that radius of the smaller loop is much smaller that the radius of the larger loop, a<<lR a) (10 points) At the center of the large loop calculate the magnitude and direction of the magnetic field B(t) due to the...
4. Consider a circular loop of wire with a mass m and a radius R. The...
4. Consider a circular loop of wire with a mass m and a radius R. The circular loop is vertical such that gravitational force on the loop points straight down. You may assume this is near the surface of the earth such that the force of gravity has a magnitude FGl mg. The upper half of the circular wire is immersed in a uniform magnetic field B pointing into the page. In the figure below this corresponds to the region...
Why is the bottom 2r and not
2πr? Can you use Ampere's Law to solve this?
A piece of wire is bent to form a circle with radius r. It has a steady current I flowing through it in a counterclockwise direction as seen from the top (looking in the negative z direction) (Figure 1) Part A What is B2(0), the z component of B at the center (.e., x =y=z=0) of the loop? Express your answer in terms of...
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in Quadrant 2 of the xy plane with its center at the origin. The wire carries a charge density 0. Final answers not given (a) Derive an expression for E, at the origin (b) Derive an expression for E, at the origin. (c) Find the magnitude and direction of the net electric field at the origin
Problem 2 A wire is bent into a quarter-circle of radius R. It is lies in Quadrant 2 of the xy plane with its center at the origin. The wire carries a charge density λ > 0. Final answers not given] (a) Derive an expression for E at the origin. (b) Derive an expression for Ey at the origin. (c) Find the magnitude and direction of the net electric field at the origin. y'
A loop of wire is in the shape of two concentric semicircles as
shown. (Figure 1) The inner circle has radius a; the outer circle
has radius b. A current I flows clockwise through the outer wire
and counterclockwise through the inner wire. What is the direction
of the magnetic field at the center of the semicircles?
Question 4 A loop of wire is in the shape of two concentric semicircles as shown. (Eigure 1) The inner circle has radius...
A wire
bent into the shape of a semicircle of radius Rforms
a closed circuit and carries a current I.
The circuit lies in the xy
plane,
and a uniform magnetic field is present along the positive
y
axis as
in Figure 29.12. Find the magnetic force on the straight portion of
the wire and on the curved portion. Please answer the part I
circled in red!!! Thank you!
2. 2.2/5 points | Previous Answers PSE6 29 AE 02 Example...
A loop of wire with radius R lies in the xy-plane and carries a time varying current I(t) I, sin(ot). A smaller loop of wire with radius a lies in the xy-plane at the center of the larger loop. Assume that radius of the smaller loop is much smaller that the radius of the larger loop, a<<lR a) (10 points) At the center of the large loop calculate the magnitude and direction of the magnetic field B(t) due to the...
4. Consider a circular loop of wire with a mass m and a radius R. The circular loop is vertical such that gravitational force on the loop points straight down. You may assume this is near the surface of the earth such that the force of gravity has a magnitude FGl mg. The upper half of the circular wire is immersed in a uniform magnetic field B pointing into the page. In the figure below this corresponds to the region...
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