A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. w L (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: Ho:) PB = (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 12.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.35 m. (c) What is the direction of the induced current in the rectangle? O clockwise O counterclockwise O The magnitude is zero. What If? Suppose a constant current of I = 6.00 A flows in the straight wire and the loop moves from an initial position h. = 1.00 cm toward the bottom of the figure at a constant speed of v = 16.0 cm/s. (d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move? V (e) What is the direction of the induced current in the loop 1.00 s after it begins to move? O clockwise O counterclockwise O The magnitude is zero. Need Help? Read It Watch It

A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below. w L (a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: Ho:) PB = (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf (in V) that is induced in the loop if b = 12.0 A/s, h = 1.00 cm, w = 15.0 cm, and L = 1.35 m. (c) What is the direction of the induced current in the rectangle? O clockwise O counterclockwise O The magnitude is zero. What If? Suppose a constant current of I = 6.00 A flows in the straight wire and the loop moves from an initial position h. = 1.00 cm toward the bottom of the figure at a constant speed of v = 16.0 cm/s. (d) What is the magnitude of the induced emf (in V) in the loop 1.00 s after it begins to move? V (e) What is the direction of the induced current in the loop 1.00 s after it begins to move? O clockwise O counterclockwise O The magnitude is zero. Need Help? Read It Watch It

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

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The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils, (a) Find tire magnetic field at any point on the z-axis shown in the accompanying figure, (b) Show that dB/dz and d2Bdz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
Consider the axial magnetic field Bv=0IR2/2(y2+R2)3/2 of the circular current loop shown below. (a) Evaluate aaBydy Also show that limaaaBydy=0I (b) Can you deduce this limit without evaluating the integral? (Hint: See the accompanying figure.)
The accompanying figure shows a flat, infinitely long sheet of width a that carries a current I uniformly distributed across it. Find the magnetic field at the point P, which is in the plane of the sheet and at a distance x from one edge. Test your result for the limit a ? 0.
Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.
A metal rod of mass m slides without friction along two parallel horizontal rails, separated by a distance ℓ and connected by a resistor R, as shown in the figure below. A uniform vertical magnetic field of magnitude B is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed v. In terms of m, ℓ, R, B, and v, find the distance the rod will then slide as it coasts to a stop. Note: See image for the original question and diagram.
The figure below shows a cylindrical conductive shell carrying current I to the right. The current density (non-uniform) in the conductor is given by J=c(r−R1) for the region R1<r<R2, where c is a constant. What is the magnitude of the magnetic field at a radial distance rA inside the conductor.
To solve problems, you will need to know the formula and orientation of the magnetic field with respect to the current. The formula, B=u0I/2piR, describes the magnetic field B at a distance R from a straight wire carrying current I. u0= 4π*10-7 N/A2 and is called the permeability of free space. Magnetic field is in the units of Tesla (T) and has direction. The field lines "curl" around the wire on a plane perpendicular to the wire as shown below. The direction of this magnetic field "curl" is in the direction of [ans1] 29.3.3 demo.JPG 29.3.3a.png Group of answer choices your curled fingers when your right thumb points along the current direction the plane of the wire that your fingers point to your thumb when your fingers of either hand are curled around the wire the opposing induced field produced by the current
Two long wires, one of which has a semicircular bend of radius R and center P, are positioned as shown below. If both wires carry a current I, how far apart must their parallel sections be so that the total magnetic field at P is zero? Express a in terms of R. Does the current in the straight wire flow up or down? Explain. The infinite, straight wire shown below carries a current I1. The rectangular loop, whose long sides are parallel to the wire, carries a current I2. What are the magnitude and direction of the total magnetic force on the rectangular loop due to the magnetic field of the long wire?
It is desired to use a magnetic field of 2.00 x10^-4 teslas to produce a total magnetic flux of 6.28 x10^-8 webers through a circular loop of wire. How should the loop be oriented relative to the field if we want to achieve this with the smallest loop possible? (Draw a picture to express your answer.) What will be the radius of the wire loop required?
Fig. 2 shows, in cross section, two long parallel wires separated by distance d = 10 cm. Each carries 100 A, out of the page in wire1. What is the net magnetic field at point P at distance OP = 7.5 cm, due to the two currents? a/ The current in wire 2 is into the page. b/ The current in wire 2 is out of the page. c/ In case the current in wire 2 is out of the page, find locations on Ox where the net magnetic field is zero.
The arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l. Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.