Question

The diagram below shows a long wire with a right angle bend. A current of I = 2.52 A flows through the wire. Determine the magnetic field (in unit vector notation) at the point P which is a distance a = 1.68 cm from the corner of the bend. (Assume that the +x axis is directed to the right, the +y axis is directed up, and the +z axis is toward you.) B = 0.000015 X Can you find an expression for the result of applying the Biot-Savart law to a finite length of a straight segment of a current carrying wire? How can you use the Biot-Savart law to determine the direction of the magnetic field of a long straight current carrying wire at a specific point? T Additional Materials y P There is a two dimensional x and y coordinate system. A long current carrying wire is bent in a right angle and placed on the minus y and minus x axes with the right angle bend at the origin. The current in the wire runs from a large minus y location to the origin and then to a large minus x location. There is a point P on the positive x axis at a distance labeled a from the origin.

          The diagram below shows a long wire with a right angle bend. A current of I = 2.52 A flows through the wire. Determine the magnetic field (in unit vector notation) at the point P which is a distance a = 1.68 cm from the corner of the bend. (Assume that the +x axis is directed to the right, the +y axis is directed up, and the +z axis is toward you.)
B = 0.000015
X
Can you find an expression for the result of applying the Biot-Savart law to a finite length of a straight segment of a current carrying wire? How can you use the Biot-Savart law to determine the direction of the magnetic field of a long straight current carrying wire at a specific point? T
Additional Materials
y
P
There is a two dimensional x and y coordinate system. A long current carrying wire is bent in a right angle and placed on the minus y and minus x axes with the right angle bend at the origin. The current in the wire runs from a large minus y location to the origin and then to a large minus x location. There is a point P on the positive x axis at a distance labeled a from the origin.

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The diagram below shows a long wire with a right angle bend. A current of I = 2.52 A flows through the wire. Determine the magnetic field (in unit vector notation) at the point P which is a distance a = 1.68 cm from the corner of the bend. (Assume that the +x axis is directed to the right, the +y axis is directed up, and the +z axis is toward you.)
B = 0.000015
X
Can you find an expression for the result of applying the Biot-Savart law to a finite length of a straight segment of a current carrying wire? How can you use the Biot-Savart law to determine the direction of the magnetic field of a long straight current carrying wire at a specific point? T
Additional Materials
y
P
There is a two dimensional x and y coordinate system. A long current carrying wire is bent in a right angle and placed on the minus y and minus x axes with the right angle bend at the origin. The current in the wire runs from a large minus y location to the origin and then to a large minus x location. There is a point P on the positive x axis at a distance labeled a from the origin.

Added by Steven I.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Prachi Joshi

02/26/2022

Step 1

The Biot-Savart law states that the magnetic field dB at a point due to a current element Idl is given by: dB = (μ0/4π) * (Idl x r) / r^2 where μ0 is the permeability of free space, Idl is the current element, r is the distance from the current element to the Show more…

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The diagram below shows a long wire with a right-angle bend. A current of I = 2.52 A flows through the wire. Determine the magnetic field (in unit vector notation) at the point P, which is a distance a = 1.68 cm from the corner of the bend. (Assume that the +x-axis is directed to the right, the +y-axis is directed up, and the +z-axis is toward you.) vec(B) = Can you find an expression for the result of applying the Biot-Savart law to a finite length of a straight segment of a current-carrying wire? How can you use the Biot-Savart law to determine the direction of the magnetic field of a long straight current-carrying wire at a specific point? There is a two-dimensional x and y coordinate system. A long current-carrying wire is bent in a right angle and placed on the -y and -x axes with the right-angle bend at the origin. The current in the wire runs from a large -y location to the origin and then to a large -x location. There is a point P on the positive x-axis at a distance labeled a from the origin. Additional Materials The diagram below shows a long wire with a right-angle bend. A current of I = 2.52 A flows through the wire. Determine the magnetic field (in unit vector notation) at the point P, which is a distance a = 1.68 cm from the corner of the bend. (Assume that the +x-axis is directed to the right, the +y-axis is directed up, and the +z-axis is toward you.) 0.000015 Magnetic field of a long straight current-carrying wire at a specific point? x-axes with the right-angle bend at the origin. The current in the wire runs from a large -y location to the origin and then to a large -x location. There is a point P on the positive x-axis at a distance labeled a from the origin. Additional Materials

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Transcript

0:00 Hello everyone.

00:01 So here in this question, a wire carrying current of 2 i0 is kept at a distance of suppose length to l.

00:14 This is a point c.

00:17 And another wire which is carrying current inside the screen having the current inot.

00:25 Suppose the distance between them is l because it is given that 2 i .0 is kept at a distance of twice.

00:33 This i not is kept so this is the length now if we see the magnetic field due to this i not current will be in downward direction just keep your thumb towards the direction of the current then stretch your fingers towards the point where you have to calculate the magnetic piece so extend your fingers on the right side the palm will give the direction of the magnetic so in this way the magnetic field is coming in downward direction due to i0.

01:13 So we can write this as magnetic field due to i0, b i0.

01:16 Now if we see the magnetic field due to two i not, thumb will be outside the screen.

01:24 T is in downward direction so we'll extend our fingers in the downward direction.

01:28 Palm is showing that magnetic field is on the right hand side.

01:33 So we can see that magnetic field due to two i .0 is in the downward direction.

01:38 Is in this direction.

01:40 And net will come out here in this direction.

01:44 This is the beam net, that is net magnetic field, and which will be equal to under root the i0 whole square plus the 2 i0 whole square.

01:56 If we see the magnetic field due to 2 i is equal to mu not i divided by 4 pi r.

02:07 This is the magnetic field due to 2 i0.

02:11 Here i is mu not 2 i0 divided by 2 pi 2 l...

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