Answer:
Approximately
(approximately
) assuming that the magnetic field and the wire are both horizontal.
Explanation:
Let
denote the angle between the wire and the magnetic field.
Let
denote the magnitude of the magnetic field.
Let
denote the length of the wire.
Let
denote the current in this wire.
The magnetic force on the wire would be:
.
Because of the
term, the magnetic force on the wire is maximized when the wire is perpendicular to the magnetic field (such that the angle between them is
.)
In this question:
(or, equivalently,
radians, if the calculator is in radian mode.)
.
.
.
Rearrange the equation
to find an expression for
, the current in this wire.
.
1. Answer: 7.75 seconds
Explanation: 76-14=62 metres
62/8=7.75 seconds
2. Answer: 2.5 seconds
Explanation: 28-18=10 metres
10/4=2.5 seconds
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