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Consider the current-carrying wire shown in the figure. The current creates a magnetic field at the...
A very long wire carrying current I is bent into the shape shown in the diagram....
A very long wire carrying current I is bent into the shape shown in the diagram. Apply the general result obtained in class from the Biot-Savart Law, B = mu_0I/4pi r(cos theta_1 - cos theta_2), to find the net magnetic field B, magnitude and direction, at point P. Show all your work in detail: very specifically show what are theta_1 and theta_2 for each segment of the wire. Simplify the answer. Use extra pages if needed.
Problem 20.71 A long, straight wire carries a current of 10.0 A, as shown in the...
Problem 20.71 A long, straight wire carries a current of 10.0 A, as shown in the figure 5.00 cm A ←-7.00 cm 10.0A Part A Use the law of Blot and Savart to find the direction of the magnetic field at point P due to the 2.20 mm segment A ANSWER The field is directed into the page. The field is directed out of the page. The field is directed to the right. The field is directed to the left....
The semicircular wire segment with radius a is carrying current I, and is placed in the...
The semicircular wire segment with radius a is carrying current I, and is placed in the x - y plane as shown. The wire is inside a uniform magnetic field B = Boi. Find the magnitude and the direction of the to- tal magnetic force acting on the wire segment. +x (HINT: Consider an infinitesimal arc segment ds on the wire to start with.)
Use the Biot-Savart law to derive an expression for the magnetic field a distance wire carrying...
Use the Biot-Savart law to derive an expression for the magnetic field a distance wire carrying current l Hints: from an infinitely long lds dx P ● The Biot-Savart Law says B-40 .Only calculate the magnitude of the field. It's fine to 4π calculate B = goff las,1, we defined the direction in class using the right hand rule Consider the diagram: ld × fl = ld llfl sin θ. Since f is a unit vector, Ifl = 1, so...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
An infinitely long conductor carrying current is bent at a right angle as shown in Figure...
An infinitely long conductor carrying current is bent at a right angle as shown in Figure 1. Point Pis located a distance b from the corner of the wire. Only one section of this current contributes to the magnetic field at pt. P. Why? The general formula (derived from the Biot-Savart Law) for the magnitude of the magnetic field a distance a away from a thin, straight conductor is: B = f (sin 8, - sin 02) For this problem,...
What is the magnitude field at the center of a square made of a wire carrying...
What is the magnitude field at the center of a square made of a
wire carrying a current that loops the square in a counter
clockwise direction if the square lies in the x-y plane?
How do you solve this using the Biot-Savart Law?
Answer:
Which of the following is false about a wire carrying current to the right? a. Comparing...
Which of the following is false about a wire carrying current to
the right?
a. Comparing how the wire looks when viewed from in front of the
page or from behind the page and considering what one expects if
the current changes direction shows that the radial component of
the magnetic field must be zero.
b. Since the field must be perpendicular to the current, the
component of field parallel to the wire must be zero.
c. Application of Ampere’s...
4. A wire carrying a 27.0 A current bend 2.00 mm segments of wire, each 3.00...
4. A wire carrying a 27.0 A current bend 2.00 mm segments of wire, each 3.00 cm from a. Find the magnitude and direction produce at point P, which is midway between them rent bends through a right angle. Consider two re, each 3.00 cm from the bend. and direction of the magnetic field these two segments 2.00 mm 3.00 cm 3.00 cm 2.00 mm
QUESTION 7 Consider the current-carrying wire shown in the figure. What is the magnitude of the...
QUESTION 7 Consider the current-carrying wire shown in the figure. What is the magnitude of the magnetic field at point P due to current segment 1? 2 p. 3 Hol 2r O O Hol Hol O r zero Holl
A very long wire carrying current I is bent into the shape shown in the diagram. Apply the general result obtained in class from the Biot-Savart Law, B = mu_0I/4pi r(cos theta_1 - cos theta_2), to find the net magnetic field B, magnitude and direction, at point P. Show all your work in detail: very specifically show what are theta_1 and theta_2 for each segment of the wire. Simplify the answer. Use extra pages if needed.
Problem 20.71 A long, straight wire carries a current of 10.0 A, as shown in the figure 5.00 cm A ←-7.00 cm 10.0A Part A Use the law of Blot and Savart to find the direction of the magnetic field at point P due to the 2.20 mm segment A ANSWER The field is directed into the page. The field is directed out of the page. The field is directed to the right. The field is directed to the left....
The semicircular wire segment with radius a is carrying current I, and is placed in the x - y plane as shown. The wire is inside a uniform magnetic field B = Boi. Find the magnitude and the direction of the to- tal magnetic force acting on the wire segment. +x (HINT: Consider an infinitesimal arc segment ds on the wire to start with.)
Use the Biot-Savart law to derive an expression for the magnetic field a distance wire carrying current l Hints: from an infinitely long lds dx P ● The Biot-Savart Law says B-40 .Only calculate the magnitude of the field. It's fine to 4π calculate B = goff las,1, we defined the direction in class using the right hand rule Consider the diagram: ld × fl = ld llfl sin θ. Since f is a unit vector, Ifl = 1, so...
3. (a) Use Biot-Savart Law to find the magnetic field of wire, along the z-axis, carrying a current I (in direction), at a point P a distance r from the wire. Do this for both a finite wire (21 <2<z2), and an infinite wire (-0<z< too). (6) Use the result of part (a) to evaluate the net magnetic field of the wires shown at point P (0,0,2). [15] z P (0,0,2) 22 di 0 B (0,2,0) tec у P(x,y) A...
An infinitely long conductor carrying current is bent at a right angle as shown in Figure 1. Point Pis located a distance b from the corner of the wire. Only one section of this current contributes to the magnetic field at pt. P. Why? The general formula (derived from the Biot-Savart Law) for the magnitude of the magnetic field a distance a away from a thin, straight conductor is: B = f (sin 8, - sin 02) For this problem,...
What is the magnitude field at the center of a square made of a
wire carrying a current that loops the square in a counter
clockwise direction if the square lies in the x-y plane?
How do you solve this using the Biot-Savart Law?
Answer:
Which of the following is false about a wire carrying current to
the right?
a. Comparing how the wire looks when viewed from in front of the
page or from behind the page and considering what one expects if
the current changes direction shows that the radial component of
the magnetic field must be zero.
b. Since the field must be perpendicular to the current, the
component of field parallel to the wire must be zero.
c. Application of Ampere’s...
4. A wire carrying a 27.0 A current bend 2.00 mm segments of wire, each 3.00 cm from a. Find the magnitude and direction produce at point P, which is midway between them rent bends through a right angle. Consider two re, each 3.00 cm from the bend. and direction of the magnetic field these two segments 2.00 mm 3.00 cm 3.00 cm 2.00 mm
QUESTION 7 Consider the current-carrying wire shown in the figure. What is the magnitude of the magnetic field at point P due to current segment 1? 2 p. 3 Hol 2r O O Hol Hol O r zero Holl
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