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Chapter 29: Q. 35 (page 832)

The right edge of the circuit in FIGURE EX29.35 extends into a 50mTuniform magnetic field. What are the magnitude and direction of the net force on the circuit?

Short Answer

Expert verified

The magnitude has 25mN and the direction is right.

Step by step solution

01

Step 1:Given Information

We have given the right edge of the circuit in the diagram extends into a 50mTuniform magnetic field.

02

Simplify

The current in the circuit is determined by Ohm's law

I=15v3Ω=5A,

and its direction is shown in the figure below. The field points into the plane of the circuit. By right-hand rule. WE determine that the magnetic force

F→=Il→×B→

points to the right and has the magnitude

F=IlB=15mN.

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Most popular questions from this chapter

The coaxial cable shown in figureP29.56consists of a solid inner conductor of radius R1surrounded by a hollow, very thin outer conductor of radius R2. The two carry equal currents I, but in opposite directions. The current density is uniformly distributed over each conductor.

a. Find expressions for three magnetic fields: within the inner conductor, in the space between the conductors, and outside the outer conductor.

A square current loop 5.0cmon each side carries a500mA current. The loop is in a 1.2T uniform magnetic field. The axis of the loop, perpendicular to the plane of the loop, is 30°° away from the field direction. What is the magnitude of the torque on the current loop?

A proton in a cyclotron gains ∆k=2e∆vof kinetic energy per revolution, where ∆vis the potential between the dees. Although the energy gain comes in small pulses, the proton makes so many revolutions that it is reasonable to model the energy as increasing at the constant rate p=dK/dt=∆K/T, where Tis the period of the cyclotron motion. This is power input because it is a rate of increase of energy.

a. Find an expression for r(t), the radius of a proton's orbit in a cyclotron, in terms of m,e,B,P,andt. Assume that r=0at t=0.

Hint:Start by finding an expression for the proton's kinetic energy in terms of r.

b. A relatively small cyclotron is 2.0min diameter, uses a 0.55Tmagnetic field, and has a 400Vpotential difference between the dees. What is the power input to a proton, in W?

c. How long does it take a proton to spiral from the center out to the edge?

What is the current direction in the wire of FIGURE Q29.5? Explain.

A proton moving in a uniform magnetic field with v→1=1.00×106ı^m/sexperiences force F→1=1.20×10-16k^N. A second proton with v→2=2.00×106j^m/sexperiences F→2=-4.16×10-16k^Nin the same field. What is B→? Give your answer as a magnitude and an angle measured cCW from the+x- axis.
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