A long vertical wire carries a steady

70 \mathrm {~A}

current. As shown in the figure, a pair of horizontal rails are

0.20 \mathrm {~m}

apart.

\mathbf { A } 20 - \Omega

resistor connects points

a

and

b

, at the end of the rails.

\mathbf { A }

bar is in contact with the rails, and is moved by an external force with a constant horizontal velocity of

0.90 \mathrm {~m} / \mathrm { s }

to the right, as shown. The bar and the rails have negligible resistance. At the instant that the bar is

0.20 \mathrm {~m}

from the wire, what are the induced current in the resistor and its direction through the resistor?

\left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)

$A long vertical wire carries a steady 70 \mathrm {~A} current. As shown in the figure, a pair of horizontal rails are 0.20 \mathrm {~m} apart. \mathbf { A } 20 - \Omega resistor connects points a and b , at the end of the rails. \mathbf { A } bar is in contact with the rails, and is moved by an external force with a constant horizontal velocity of 0.90 \mathrm {~m} / \mathrm { s } to the right, as shown. The bar and the rails have negligible resistance. At the instant that the bar is 0.20 \mathrm {~m} from the wire, what are the induced current in the resistor and its direction through the resistor? \left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right) A) 0.63 \mu \mathrm { A } , from b to a B) 0.32 \mu \mathrm { A } , from b to a C) 1.9 \mu \mathrm { A } , from b to a D) 0.32 \mu \mathrm { A } , from a to b E) 0.63 \mu \mathrm { A } , from a to b$

A)

0.63 \mu \mathrm { A }

, from

b

a

0.32 \mu \mathrm { A }

, from

b

a

1.9 \mu \mathrm { A }

, from

b

a

0.32 \mu \mathrm { A }

, from

a

b

0.63 \mu \mathrm { A }

, from

a

b

The Current Flowing Through a Circuit Is Changing at a Rate

Multiple Choice

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