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Byju's Answer

Standard XII

Physics

Magnetic Flux and Faraday's Law

A square of s...

Question

A square of side $L$ meters lies in the $x - y$ plane in a region where the magnetic field is given by $B = B_{0} (2 i + 3 j + 4 k)$ Tesla, where $B_{0}$ is constant. The magnitude of flux passing through the square is

2 B_{0} L^{2} W b

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3 B_{0} L^{2} W b

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4 B_{0} L^{2} W b

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\sqrt{29} B_{0} L^{2} W b

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Solution

The correct option is B $4 B_{0} L^{2} W b$
$\to B = B_{0} (2 ˆ i + 3 ˆ j + 4 ˆ k) T$
Magnitude of flux.
$A = L^{2} ˆ k$
$ϕ = ˆ B . ˆ A$
$B_{0} (2 ˆ i + 3 ˆ j + 4 ˆ k) . L^{2} ˆ k$
$= 4 B_{0} L^{2} W b$

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Similar questions

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A square of side L meters lies in the x−y plane in a region where the magnetic field is given by B=B0(2i+3j+4k) Tesla, where B0 is constant. The magnitude of flux passing through the square is

The correct option is B 4B0L2Wb→B=B0(2ˆi+3ˆj+4ˆk)TMagnitude of flux.A=L2ˆkϕ=ˆB.ˆAB0(2ˆi+3ˆj+4ˆk).L2ˆk=4B0L2Wb

A square of side $L$ meters lies in the $x - y$ plane in a region where the magnetic field is given by $B = B_{0} (2 i + 3 j + 4 k)$ Tesla, where $B_{0}$ is constant. The magnitude of flux passing through the square is

The correct option is B $4 B_{0} L^{2} W b$
$\to B = B_{0} (2 ˆ i + 3 ˆ j + 4 ˆ k) T$
Magnitude of flux.
$A = L^{2} ˆ k$
$ϕ = ˆ B . ˆ A$
$B_{0} (2 ˆ i + 3 ˆ j + 4 ˆ k) . L^{2} ˆ k$
$= 4 B_{0} L^{2} W b$