A square of side \(L\) meters lies in the \(x\text-y\) plane in a region, where the magnetic field is given by \({B}=B_0(2 \hat{i}+3 \hat{j}+4 \hat{k}) ~\text{T}\), where \(B_0\) is constant. The magnitude of flux passing through the square is:
1. \(2 B_0 L^2 ~\text{Wb}.\) 2. \(3 B_0 L^2 ~\text{Wb}.\)
3. \(4 B_0 L^2 ~\text{Wb}.\) 4. \(\sqrt{29} B_0 L^2 ~\text{Wb}.\)
Subtopic:  Magnetic Flux |
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From NCERT
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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 \(B=B_0(\hat{i}+\hat{k})~\text{T}\) is present in the region. The flux passing through the loop \(ABCDEFA\) (in that order) is:
1. \(( B_0 L^2 )~\text{Wb} \) 2. \((2 B_0 L^2 )~\text{Wb} \)
3. \(( \sqrt{2} B_0 L^2 )~\text{Wb} \) 4. \((4 B_0 L^2) ~\text{Wb} \)
 
Subtopic:  Magnetic Flux |
From NCERT
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A cylindrical bar magnet is rotated about its axis (see figure). A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then:
            
1. a direct current flows in the ammeter \(A\).
2. no current flows through the ammeter \(A\).
3. an alternating sinusoidal current flows through the ammeter \(A\) with a time period \(T=2π/ω.\)
4. a time varying non-sinosoidal current flows through the ammeter \(A\).
Subtopic:  Magnetic Flux |
From NCERT
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