Calculate the magnitude of magnetic field at a distance from the axis, where: .r C
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- A 6A current flows in a wire as shown. The radius of the arc is 0.5m, and the length of each of the straight wires is 1.37m. If the arc subtends an angle of 125 degrees, determine the magnitude of the magnetic field at its center. [give your answer in units of microTeslas with 2 decimal places of precision]Consider two circular loops with radius R carrying current I flowing counterclockwise when viewed from the +y axis, as shown. The loops are perpendicular to their common axis and are a distance 2d apart. What is the net magnetic field at point P, located midway between the two loops? See choices and figure below.A wire with resistivity ρ (resistance per unit length) is bended in a way to form a shape like bb-8 in the movie Star Wars. (See the figure on the right.) We can approximate it as two circles of radius R and 2R lying in the same plane. Note the wire has an insulating shell, and it crosses over itself at joint of the two circles. The wire is then placed in a magnetic field that is spatially uniform, but increases its magnitude over time with B = bt, where b is a constant of appropriate dimension. (a) What is the total resistance of the wire? Express your answer in terms of ρ and R. (b) What is the emf induced in the upper circle? In which direction? Express your answer in terms of R and b. (c) What is the emf induced in the lower circle? In which direction? Express your answer with R and b. (d) Find the net induced current flowing in the wire. Also specify the direction of the induced current. (It is better to indicate the direction by drawing arrows on the figure…
- A solenoid of radius r = 1.25 cm and length l = 28.0 cm has 290 turns and carries 12.0 A. a R b (a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid as in the figure (a) above. μWb (b) Figure (b) above shows an enlarged end view of the same solenoid. Calculate the flux through the tan area, which is an annulus with an inner radius of a = 0.400 cm and outer radius of b = 0.800 cm. μWbThe 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.Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.
- Four long straight wires are at the corners of a square. The currents are not all in same direction, but all have the same magnitude, ?. Which arrow best describes the direction of the net magnetic field due to all wires at point P? (Select one arrow.)Supposed that a coaxial cable consists of a solid inner conductor of radius a, surrounded by a concentric cylindrical tube of inner radius b and outer radius C as shown below. Io We assume that the conductors are carrying an equal current In that is distributed equally into the cross-section but of different directions as indicated by the directions in the image above. Calculate the magnitude of magnetic field at a distance from the axis, where: • r C Plot the magnitude of the magnetic field with respect to the distance from the axis ↓The normal to a certain 1.0 m2 area makes an angle of 60 degrees with a uniform magnetic field. The magnetic flux through this area is the same as the flux through a second area that is perpendicular to the field if the second area is: Can you include a diagram as well?
- You are facing a loop of wire which carries a clockwise current of 3.0A and which surrounds an area of 600 cm2. Determine the torque (magnitude and direction) if the flux density of 2 T is parallel to the wire directed towards the top of this page.Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed.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. (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:) %3D (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. V (c) What is the direction of the induced current in the rectangle? O clockwise O counterclockwise O The magnitude is zero. = 1.00 cm toward the bottom of the figure at a 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. 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…