A cylindrical solenoid has a length of 10 cm and a radius of 1 cm. It is tightly wound with 100 turns of wire. The axis of the solenoid is aligned with the z-axis, and the center of the solenoid is at the origin. The current flowing through the solenoid is 1.5 A. What is the magnetic field at the following points of interest? B, Tesla Point of interest x=0, y=0, z-2 cm x=0, y=0, z=200 cm x=0, y=2 cm, z=0 cm

A proton moves along the x-axis with vx=1.0×107m/s. a. As it passes the origin, what are the strength and direction of the magnetic field at the (1 cm, 0 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^.    b. As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, 1 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^.    c. As it passes the origin, what are the strength and direction of the magnetic field at the (0 cm, -2 cm, 0 cm) position? Give your answer using unit vectors. Express your answer in terms of the unit vectors i^, j^, and k^.

A conducting loop is in the shape of a square of side ℓ. Current I flows clockwise through the loop. A conducting loop in the shape of a square of edge length ℓ = 480m carries a current I = 10.4 A as in the figure above. Calculate the magnitude and direction of the magnetic field at the center of the square. If this conductor is reshaped to form a circular loop and carries the same current, what is the value (magnitude and direction) of the magnetic field at the center?

Four long, parallel conductors carry equal currents of I = 9.00 A. The figure below is an end view of the conductors. The current direction is into the page at points A and B and out of the page at C and D. B(x (a) Calculate the magnitude of the magnetic field at point P, located at the center of the square of edge length € = 0.200 m. 11.46 x Superposition allows us to calculate the field of each wire and then add them to find the total field. µT (b) Determine the direction of the magnetic field at point P, located at the center of the square of edge length € = 0.200 m. O to the left the right to upward downward O into the page out of the page (c) What If? What would be the magnitude and direction of the initial acceleration of an electron moving with velocity 2.98 x 105 m/s into the page at point P? magnitude 6*10*11 x m/s² direction to the right

The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r₁ = 2.5 cm and outer radius r2 = 6 cm. A 57-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r= 1.5 cm, r = 4 cm, and r= 6.5 cm. Hints a. Magnetic field at r= 1.5 cm is for (a) b. Magnetic field at r = 4 cm is for (b) c. Magnetic field at r= 6.5 cm is for (c) 11 Submit Question 12 T. Additional hint T. Additional hint T. Additional hint Use the "E" notation to enter your answer in scientific notation. For example, to enter 3.14 x 10 - 12 , enter "3.14E-12". Question Help: Message instructor

The figure below shows two long parallel wires that are 14 cm apart.  Wire 1 carries a current, I1=4.6 A going up. Wire 2 carries a current, I2=3.25 A going down. What is the magnitude and direction of the magnetic field at point P due to Wire 1?  What is the magnitude and direction of the magnetic field at point P due to Wire 2? What is the magnitude and direction of the net magnetic field at the point P due to both wires?

A uniform magnetic field is directed as shown in the accompanying diagram. A particle, moving in the plane of the diagram, follows a counterclockwise spiral of increasing radius as shown. What is a possible explanation for the particle's trajectory? HO The particle is negatively charged and speeding up. The particle is negatively charged and slowing down. The particle is positively charged and slowing down. O The particle is uncharged and speeding up. O The particle is positively charged and speeding up. particle B

An electron moves in a uniform magnetic field. At t = 0 s the electron crosses the negative y-axis at 80 cm from the origin, with velocity 1.70×105 m/s in the positive x-direction. The strength and orientation of the magnetic field are such that the electron will cross the positive x-axis a distance 0.8 m from the origin. a. Draw a picture depicting the trajectory of the electron. Make sure that you include the axes of the coordinate system. Show the direction of the magnetic force, if any, acting on the electron at t = 0 s. b. Find the magnitude of the magnetic field. c. What is the direction of the magnetic field? Justify your answer. e. At what time does the electron cross the x-axis?

Two very long parallel conductors are located at a distance of 2 · a from each other, perpendicular to the plane of the figure below. The left-side conductor is carrying a current of i = 11 A directed into the page. What current i, (magnitude and direction) must flow through right-side conductor to produce a zero magnetic field at point P,? Use out of the page as the positive direction and a = 5 cm and b = 13 cm. y P, a a b The current, i, = Units Select an answer What is the magnitude and direction of the magnetic field at point P,? The magnitude of the B-field, B, = Units Select an answer The field is directed Select an answer Select an answer Question Help: OUp Down P Post to forum To the Left Submit Question To the Right

A loop of wire is in the shape of two concentric semicircles as shown. The inner circle has radius a and the outer circle has radius b. I flows clockwise through the outer wire and counterclockwise through the inner wire. What is the magnitude and direction, B, of the magnetic field at the center of the semicircles?