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The magnetic field B through the rectang...

The magnetic field B through the rectangle of Fig. 32-6 is shown at a different instant in part 1 of the figure here, B is directed in the xz plane, parallel to the z axis, and its magnitude is increasing. (a) Complete part 1 by drawing the induced electric fields, indicating both directions and relative magnitudes (as in Fig. 32-6). (b) For the same instant, complete part 2 of the figure by drawing the e lectric field of the electromagnetic wave. Also draw the induced magnetic fields, indicating both directions and relative magnitudes (as in Fig. 32-7).

Text Solution

Verified by Experts

(a) Use Eq. 32 -5 . On the right side of rectangle `vecE` is in the negative y direction on the left side `vecE+dvecE` is greater and in the same direction (b) `vecE` is downward . On the right side `vecB` is in negative z -direction on the left side `vecB+dvecB` is greater and in the same direction .
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Knowledge Check

  • The magnet in fig. rotates as shown on a pivot through its center. At the instant shown, the directions of the induced currents are:

    A
    A to B and C to D
    B
    B to A and C to D
    C
    A to B and D to C
    D
    B to A and D to C
  • A plane polarized electromagnetic wave of frequency 6xx10^(8) Hz is propagating through a region of space. Electric field is along positive z-direction and magnetic field is along positive y-direction at some instant. The peak value of electric field is 3 milli-volt/m. The electromagnetic wave could be represented by

    A
    `B=(10^(-8) sin 2pi[2x-(6xx10^(-8))t]`
    B
    `B=(10^(-11) sin 2pi[2x-(6xx10^(-8))t]`
    C
    `B=(10^(-11) sin 2pi[2x-(6xx10^(-8))t]`
    D
    `B=(10^(-11) sin 2pi[2x-(6xx10^(-8))t]`
  • Repeat the above problem, but with the current in both wires shown in fig. directed into the plane of the figure. At what value of x is the magnitude of vecB is maximum?

    A
    `x=0`
    B
    `x=sqrt2a`
    C
    `x=+-a//2`
    D
    `x=+-a`
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