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Standard XII

Physics

Exploiting Ampere's Law - Long Wire

Suppose a wir...

Question

Suppose a wire is kept vertical, through which current $i = 5 \sqrt{2} sin ω t A$ is flowing. A uniform magnetic field of $4.5 mT$ exist in horizontal direction. The average magnetic force $(in N)$ on the wire in a complete cycle of current will be (Integer only)

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Solution

We know that, magnetic force on a current carrying wire is given by,

$\to F = I (\to l \times \to B)$

Here, length of wire $l$ and magnetic field $B$ is independent of time.

So, average magnetic force depends on average value of current.

And we know that the average value of current for a sinusoidal function is zero in a full cycle.

Hence, average magnetic force on the wire is zero for a full cycle of current.

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Exploiting Ampere's Law - Long Wire

Standard XII Physics

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Suppose a wire is kept vertical, through which current i=5√2sinωt A is flowing. A uniform magnetic field of 4.5 mT exist in horizontal direction. The average magnetic force (in N) on the wire in a complete cycle of current will be (Integer only)

Suppose a wire is kept vertical, through which current $i = 5 \sqrt{2} sin ω t A$ is flowing. A uniform magnetic field of $4.5 mT$ exist in horizontal direction. The average magnetic force $(in N)$ on the wire in a complete cycle of current will be (Integer only)