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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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116 PROBLEMS<br />

tic field <strong>in</strong> the direction of side a with a velocity e. The <strong>in</strong>tensity<br />

of the magn<strong>et</strong>ic field H is perpendicular to the base of<br />

the block with the sides a and c (Fig. 199). .<br />

D<strong>et</strong>erm<strong>in</strong>e the <strong>in</strong>tensity of the electric field <strong>in</strong> the block and<br />

the density of the electric charges on the surfaces of the par<strong>al</strong>lelepiped<br />

formed by sides a and b.<br />

567. An uncharged m<strong>et</strong><strong>al</strong> cyl<strong>in</strong>der with a radius r revolves about<br />

its axis <strong>in</strong> a magn<strong>et</strong>ic field with an angular velocity ro. The<br />

<strong>in</strong>tensity of the magn<strong>et</strong>ic field is directed <strong>al</strong>ong the axis of the<br />

cyl<strong>in</strong>der.<br />

What should the <strong>in</strong>tensity of the magn<strong>et</strong>ic field be for no<br />

electrostatic field to appear <strong>in</strong> the cyl<strong>in</strong>der?<br />

3-5. Electromagn<strong>et</strong>ic Induction. Alternat<strong>in</strong>g<br />

Current<br />

568. D<strong>et</strong>erm<strong>in</strong>e the direction of the <strong>in</strong>tensity of an electric<br />

field <strong>in</strong> a turn placed <strong>in</strong> a magn<strong>et</strong>ic field (Fig. 200) directed away<br />

from us <strong>in</strong> a direction perpendicular to the plane of the turn.<br />

The <strong>in</strong>tensity of the magn<strong>et</strong>ic field grows with time.<br />

569. A rectangular circuit ABeD moves translation<strong>al</strong>ly <strong>in</strong> the<br />

magn<strong>et</strong>ic field of a current flow<strong>in</strong>g <strong>al</strong>ong straight long conductor<br />

00' (Fig. 201). F<strong>in</strong>d the direction of the current <strong>in</strong>duced <strong>in</strong> the<br />

circuit if the turn moves away from the conductor.<br />

570. A non-magn<strong>et</strong>ized iron rod flies through a coil connected<br />

to a battery and an amm<strong>et</strong>er (Fig. 202). Draw an approximate<br />

diagram of the change of current <strong>in</strong> the coil with time as the<br />

rod flies through it.<br />

571. A current <strong>in</strong> a coil grows directly with time. What is the<br />

nature of the relation b<strong>et</strong>ween the current and time <strong>in</strong> another<br />

coil <strong>in</strong>ductively connected to the first one?<br />

0'<br />

B..---.O<br />

o<br />

+<br />

A 0<br />

Fig. 200<br />

a<br />

Fig. 201 Fig. 202

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