A current of 1 A flowing along positive x axis through a straight wire of length 0-5 m placed in a region of a magnetic field given by B-2-4-T- The magnitude and direction of the force experienced by the wire respectively are-

The correct option is C 2N along positive Z axis i L⃗=12î And, B⃗=2 î + 4 ĵ So, Lorentz force, F⃗=i L⃗×B⃗ =12 î× (2 î + 4ĵ) ...

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Standard X

Physics

Magnetic Force on Current Carrying Wire

A current of ...

Question

A current of $1 A$ flowing along positive x axis through a straight wire of length $0.5 m$ placed in a region of a magnetic field given by $\to B = (2^i + 4^j) T$ . The magnitude and direction of the force experienced by the wire respectively are:

\sqrt{18} N

, along positive Z axis

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\sqrt{20} N

, along positive X axis

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2 N

along positive Z axis

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4 N

along positive Y axis

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Solution

The correct option is C $2 N$ along positive Z axis
$i \to L = \frac{1}{2}^i$

And, $\to B = 2^i + 4^j$

So, Lorentz force, $\to F = i \to L \times \to B$ $= \frac{1}{2}$ $^i \times (2^i$ $+ 4^j)$ $= 2^k N$

So, magnitude of force is $2 N$ and is directed along Z axis.

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A current of 1 A flowing along positive x axis through a straight wire of length 0.5 m placed in a region of a magnetic field given by →B=(2^i+4^j)T. The magnitude and direction of the force experienced by the wire respectively are:

The correct option is C 2N along positive Z axisi→L=12^iAnd, →B=2^i+4^jSo, Lorentz force, →F=i→L×→B=12^i×(2^i+4^j)=2^k NSo, magnitude of force is 2 N and is directed along Z axis.

A current of $1 A$ flowing along positive x axis through a straight wire of length $0.5 m$ placed in a region of a magnetic field given by $\to B = (2^i + 4^j) T$ . The magnitude and direction of the force experienced by the wire respectively are:

The correct option is C $2 N$ along positive Z axis
$i \to L = \frac{1}{2}^i$

And, $\to B = 2^i + 4^j$

So, Lorentz force, $\to F = i \to L \times \to B$ $= \frac{1}{2}$ $^i \times (2^i$ $+ 4^j)$ $= 2^k N$

So, magnitude of force is $2 N$ and is directed along Z axis.