Question

Three questions. Thanks

1. One long wire carries current 12.0 A to the left along the x axis. A second long wire carries current 80.0 A to the right along the line (y = 0.280 m, z = 0).

(a) Where in the plane of the two wires is the total magnetic field equal to zero?

(b) A particle with a charge of −2.00 µC is moving with a velocity of 150î Mm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (Ignore relativistic effects.)

(c) A uniform electric field is applied to allow this particle to pass through this region undeflected. Calculate the required vector electric field.

2. Two long, parallel wires carry currents of I₁ = 3.25 A and I₂ = 4.70 A in the directions indicated in the figure below, where d = 16.5 cm. (Take the positive x direction to be to the right.) PLEASE COMPLETE ONLY PART (b) FOR CREDIT. PART (a) CAN BE LEFT UNDONE.

3. The unit of magnetic flux is named for Wilhelm Weber. A practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Along with their individual accomplishments, Weber and Gauss built a telegraph in 1833 that consisted of a battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the other end. Suppose their transmission line was as diagrammed in the figure below. Two long, parallel wires, each having a mass per unit length of 42.0 g/m, are supported in a horizontal plane by strings ℓ = 6.35 cm long. When both wires carry the same current I, the wires repel each other so that the angle between the supporting strings is θ = 16.8°.

Find the magnitude of the current.

Answer 1

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