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Magnetic Flux and Faraday's Law

A loop ABCDEF...

Question

A loop $A B C D E F A$ of straight edges has six corner points A(0,0,0), B(5,0,0), C(5,5,0), D(0,5,0), E(0,5,5), F(0,0,5). The magnetic field in this region is $\to B$ = $(3^i + 4^k) T$ . The quantity of flux through the loop $A B C D E F A$ (in $W b$ ) is

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Solution

As we know, magnetic flux $= \to B \cdot \to A$
$\begin{matrix} ⟹ (B_{x} + B_{z}) \cdot (A_{x} + A_{z}) ⟹ (3^i + 4^k) \cdot (25^i + 25^k) ⟹ (75 + 100) W b ⟹ 175 W b \end{matrix}$

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A B C D E F A

of straight edges has six corner points A(0,0,0), B(5,0,0), C(5,5,0), D(0,5,0), E(0,5,5), F(0,0,5). The magnetic field in this region is

\to B

(3^i + 4^k) T

. The quantity of flux through the loop

A B C D E F A

W b

Q. A loop made of straight edges has six corners at A(0, 0, 0), B(L, 0, 0), c(L, L, 0), D(0, L, 0), E(0, L, L) And F (0, 0, L). A magnetic field

¯ B = B_{0} (^i +^k) T

is present in the region.The flux passing through the loop ABCDEFA (in the order ) is

Q. The magnetic field in a certain region is given by

\to B = (4^i -^k) T

. How much magnetic flux passes through the loop of area

0.1 m^{2}

in this region, if the loop lies flat in

x y

Q. A square of side a metre lies in the YZ-palne in a region, where the magnetic field is given

B = B_{0} (3^i + 3^j - 4^k) T

B_{0}

is constant. The magnitude flux passing through the square in Wb is:

Q. Magnetic flux of

4 Wb

crosses through a circular loop carrying current of

2 A

. Find the self inductance of the loop, if the loop has

100

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