In the figure below, the current in the long, straight wire is I,=16 A, and the wire lies in the plane of the rectangular loop, which carries a current of /2=10.0 A. The dimensions in the figure are c= 0.100 m, a=0.150 m, and, l= 0.450 m. Find the magnitude of the net force ( in units of uN) exerted on the loop by the magnetic field created by the wire.

Write down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length l and the mass m carrying  the current I . The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B  and the gravitational field g perpendicular to the rod (see picture below).

Determine whether the vector field below is an electric field or an electric field magnet! Ū(F) = 3 sin x e3y î – cos x e3yj а. V(F) = 3x?y² î + 2x³yĵ W (†) = (x² + y²) î – 2xy ĵ b. с.

For the current carrying wire shown in the figure below, I = 25.1 A, r1 = 5 cm, and r2 = 10 cm. The direction of the current is indicated in the figure. Find the magnitude and direction of the magnetic field at point P. Note, the top vertical wire and the right horizontal wire are semi-infinite wires. For direction, use positive for into the page and negative for out of the page.

A single circular loop of radius 0.23 m carries a current of 2.6 A in a magnetic field of 0.95 T. Find the angle the plane of the loop must make with the field if the torque is to be half its maximum value. Express your answer using two significant figures.

|In a magnetic field, field lines are curves to which the magnetic field B is everywhere tangential. By evaluating dBJds, where s is the distance measured along a field line, prove that the radius of curvature at any point on a field line is given by B3 p = |B × (B · ỹ)B[' with B denoting the magnitude of the magnetic field and |.| stands for the magnitude of the vector.

The current - carrying wire loop in the figure on the left lies all in one plane and consists of a semicircle of radius 10 cm, a smaller semicircle with the same center, and two radial lengths. The smaller semicircle is rotated out of that plane by angle theta, until it is perpendicular to the plane. The figure on the right gives the magnitude of the net magnetic field at the center of curvature versus angle theta. The vertical scale is set by Ba = 46.960 mu T and Bb = 63.484 (c)mu T. What is the radius of the smaller semicircle? ね (a) x B (UT) Вь y x Boo π/4 0 (rad) (c) π/2

The magnetic force dFg on a infinitesimal segment of current I is dFs = I dEx B Where di is the displacement vector of the infinitesimal current segment. The total magnetic force on a finite current segment is F = 1J (dL x B) 1. If the magnetic field is uniform in space the magnetic force on current simplifies to FB = {(x5). What is vector in this expression? Choose one. is the length of the current segment is the vector from the point where the current enters the uniform field to the point where the current leaves the uniform field. a. What is the magnetic force on the portions of the wire to the left of the dashed line? • is the current. 2. The magnetic field is zero to the left of the dashed line. The magnetic field to the right of the dashed line is uniform outwards. A current carrying wire goes through the region as shown. b. What is the magnetic force on the bottom wire segment? Write answer in component vector form. c. What is the magnetic force on the slanted wire segment?…

Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a rectangular area with one side parallel to the wire and at a distance 0.043 m away from the wire. Let the dimensions of the rectangle be a 0.024 m and b-0.057 m Part (a) Express the magnitude of the magnetic field generated by the wire B at a distance r in terms of I and r. B(r) Но 4 5 6 BACKSPAC CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback. Part (b) Express the magnetic flux, ф, in the rectangle as an integral of B(r) A Part (c) Integrate the expression in part (b) 圖 Part (d) Calculate the numerical value of φ in T-m2.

(a) A small wire loop carrying current is placed next long straight current wire as shown in the diagram. Label direction of force acting on each side of the loop due to long wire as follows with arrowheads. Force on AB is F1, Force on BC F2, Force on CD F3. Force on DA F4. Label the direction of net force on ABCD as F. A (b) ABCD is a square with side 4 cm. Two long wires carry currents 10 A each goes through A and B perpendicular to plane of ABCD out of the page. Label the magnetic field at the center of the square due to wire at A as B1 and wire at B as B2. What is the direction of net magnetic field at the center?