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A pair of perfectly conducting electrodes traps a magnetic field, as shown in Fig. 6P.7. One electrode is planar and at y = 0, the other has a small sinusoidal variation given as a
function of space and time. Both boundaries can be considered perfect conductors, so that n - B = 0 on their surfaces. In what follows, assume that awhere A is the flux trapped between the plates (per unit length in the z-direction) and h, and h, are small compared with A/µod
(a) Find the perturbation components h. and h,.
(b) The solutions in part (a) must satisfy the boundary conditions: n X E = (n. v)B [boundary condition (6.2.22) of Table 6.1]. Compute the electric field intensity by using the magnetic field found in part (a). Now check to see that this boundary condition is satisfied to linear terms.
A3.50kg object is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of24.0N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of thexaxis).
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1a wire 11.80 m long carries a current of 1.30 a and makes an angle of 35.0 degrees with a uniform magnetic field of
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