A wire segment carrying a current I is bent into a cosine shape with period of 2π, i.e., y=cos(x) and the wire has length 4π in the x−direction. There is a magnetic field in the vicinity of the wire which points in the positive z−direction with a magnitude given by B=B0x. What is the magnitude of the y−component of the force on the wire segment?

A wire segment carrying a current I is bent into a cosine shape with period of 2π, i.e., y=cos(x) and the wire has length 4π in the x−direction. There is a magnetic field in the vicinity of the wire which points in the positive z−direction with a magnitude given by B=B0x. What is the magnitude of the y−component of the force on the wire segment?

Similar questions

A positively charged particle of mass 6.82 x 10-8 kg is traveling due east with a speed of 64.2 m/s and enters a 0.397-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 4.06 × 10-³ s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic force acting on the particle? (b) Determine the magnitude of its charge. (a) Number (b) Number pi i Units Units V < B (out of screen)
A cylindrical bar magnet of radius 1.00 cm and length 10.0 cm has a magnetic dipole moment of magnitude m = 2.00 A · m2. What is the magnetization M, assuming it to be uniform in the magnet? Answer in x10^4(A/m)
The magnetic field inside an instrument is(B→=( 2.3 i^i^ - 1.4 j^)Tj^)T where B→ represents the magnetic field vector and TT stands for tesla, the unit of the magnetic field. a) What is the magnitude of the magnetic field? b) What is the direction of the magnetic field?
In the figure below, the current in the long, straight wire is I1 = 5.00 A, and the wire lies in the plane of the rectangular loop, which carries 10.2 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and script l = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight loop.
Current I = 30 A flows in a straight wire. An ion with charge Q = 3.2e-19 C is moving toward the wire, at distant r = 0.10 m, with speed v = The magnetic force on the ion is antiparallel to the current. What is the magnitude of the force? (in N) 6.00×106 m/s. A: 3.682x10-17 B: 4.897x10-17 OC: 6.513x10-17 OD: 8.662x10-17 E: 1.152x10-16 OF: 1.532x10-16 OG: 2.038×10-16 OH: 2.710×10-16
A fuel-efficient car is able to convert the chemical potential energy of gasoline into translational kinetic energy at an efficiency of 78.4%. If there is 8742 kJ of chemical potential energy in one tank of gas, what is the amount of translational kinetic energy produced. How to manipulate formula eff=output/input x 100
A particle with charge q enters a region with a uniform magnetic field Bthat acts in x and z directions (By = 0). The initial velocity of the particle is v = 2î +3ŷ. The force acting on the particle is given by F = q(-3 î + 2ĵ – 9k). Find the magnetic field vector B O a. B= -3î – k O b. B = 3î . O c. B= 2î + 3k O d. B= 4î – 2k O e. B= 2î – 3k