A loop of wire is placed in a magnetic field B - 0-3 - T- Find the flux through the loop- if the area vector is A - 2 - - 5 - - 3 k- m2

Given, B = 0.3 ĵ T A = (2 î + 5 ĵ 3 k̂) m^2 Flux linked with the surface is given by, ϕ = B.A ϕ = (0.3 ĵ).(2î + 5 ĵ 3 k̂) ϕ = 0 + 0.3 × 5 0 ⇒ϕ = 1.5 ...

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Standard XII

Physics

Toroid

A loop of wir...

Question

A loop of wire is placed in a magnetic field $\to B = 0.3^j T$ . Find the flux through the loop, if the area vector is $\to A = (2^i + 5^j - 3^k) m^{2}$

1 Wb

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1.5 Wb

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2 Wb

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2.5 Wb

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Solution

The correct option is B $1.5 Wb$
Given, $\to B = 0.3^j T$

$\to A = (2^i + 5^j - 3^k) m^{2}$

Flux linked with the surface is given by,

$ϕ = \to B . \to A$

$ϕ = (0.3^j) . (2^i + 5^j - 3^k)$

$ϕ = 0 + 0.3 \times 5 - 0$

$\Rightarrow ϕ = 1.5 Wb$

Hence, option ( $B$ ) is the correct answer.

Why this Question?
Note: The magnetic flux is a measure of number of magnetic field lines crossing per unit area.

It is given by,

$ϕ = \to B . \to A$

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A loop of wire is placed in a magnetic field →B=0.3 ^j T. Find the flux through the loop, if the area vector is →A=(2^i+5^j−3^k) m2

A loop of wire is placed in a magnetic field $\to B = 0.3^j T$ . Find the flux through the loop, if the area vector is $\to A = (2^i + 5^j - 3^k) m^{2}$