WBJEE · Physics · Magnetic Effects of Current
As shown in figure, a rectangular loop of length ' a' and width ' \(b\) ' and made of a conducting material of uniform crosssection is kept in a horizontal plane where a uniform magnetic field of intensity \(B\) is acting vertically downward. Resistance per unit length of the loop is \(\lambda \Omega / \mathrm{m}\). If the loop is pulled with uniform velocity ' \(v\) ' in horizontal direction, which of the following statement is / are true?
- A Current in the loop \(\mathrm{I}=\frac{\mathrm{Bbv}}{\lambda(2 \mathrm{~b}+2 \mathrm{a})}\)
- B Current will be in clockwise direction, looking from the top.
- C \(V_P-V_S=V_Q-V_R\), where \(V\) is the potential
- D There cannot be any induction in part SR.
Answer & Solution
Correct Answer
(D) There cannot be any induction in part SR.
Step-by-step Solution
Detailed explanation
\(\varepsilon=B \times b \times v\) \(\mathrm{i}=\frac{\varepsilon}{\mathrm{R}_{\text {total }}}=\frac{\varepsilon}{\lambda(2 \mathrm{~b}+2 \mathrm{a})}\) Current is anticlockwise \[ V_P-V_S \neq V_Q-V_R \] Also SR, \(\vec{\ell} \| \vec{v} ;\) So \(\varepsilon=0\)
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