can you please solve (a) ? Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm froma long wire carrying a current that varies with time at a constant rate, i.e.I(t) = Qt,awhere Q = 3.4 A/s is a constant.Part (a) Find an expression for the magnetic field due to the wire as a function of timet at a distance r from the wire, interms of a, b, Q, t, r, and fundamental constants.Expression :B(t) =Select from the variables below to write your expression. Note that all variables may not be required.B, y, Ho, T, 0, d, g, h, j, m, n, P, Q, r, tPart (b) What is the magnitude of the flux through the loop? Select the correct expression.SchematicChoice :HoQatIn27HoQaInHOQat11In(b+a)2h2HoQaIn11HoQatHOQatInIn6+ aФ—(b+ a)²(b+a)2122тh2Part (c) If the loop has a resistance of 3.5 Q, how much induced current flows in the loop?Numeric : A numeric value is expected and not an expression.I =Part (d) In what direction does this current flow?MultipleChoice :1) Clockwise2) To the left.3) There is no current4) Counterclockwise5) To the right

Magnetic field can be calculated using Ampere’s law. Magnetic field depends on time and distance r…

Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, a where Q = 3.4 A/s is a constant. b Part (a) Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants. Expression : B(t) =

Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, a where Q = 3.4 A/s is a constant. b Part (a) Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants. Expression : B(t) =

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 51P

See similar textbooks

Similar questions

Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)
Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.
A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.
Within the green dashed circle show in Figure P30.21, the magnetic field changes with time according to the expression B = 2.00t3 4.00t2 + 0.800, where B is in teslas, t is in seconds, and R = 2.50 cm. When t = 2.00 s, calculate (a) the magnitude and (b) the direction of the force exerted on an electron located at point P, which is at a distance r = 5.00 cm from the center of the circular field region. (c) At what instant is this force equal to zero? Figure P30.21
A wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24
Sketch a plot of the magnitude of the magnetic field as a function of position r for a coax (Fig. P31.27).
A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6
A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?
When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0104 T. What is the radius of the loop?
Calculate the magnitude of the magnetic field at a point 25.0 cm from a long, thin conductor carrying a current of 2.00 A.