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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Induction

NEET · Physics · Electromagnetic Induction

A square loop of side 2 ~cm enters a magnetic field with a constant...

A square loop of side 2 cm2 \mathrm{~cm} enters a magnetic field with a constant speed of 2 cm s−12 \mathrm{~cm} \mathrm{~s}^{-1} as shown. The front edge enters the field at t=0 st=0 \mathrm{~s}. Which of the following graph correctly depicts the induced emf in the loop? (Take clockwise direction positive) A square loop of side 2 ~cm enters a magnetic field with a constant speed of 2 ~cm ~s^ -1 as shown. The front edge

Options

  1. AVariation of acceleration due to gravity (g) with distance x from the centre of the earth is best represented by ( (R
  2. BVariation of acceleration due to gravity (g) with distance x from the centre of the earth is best represented by ( (R
  3. CVariation of acceleration due to gravity (g) with distance x from the centre of the earth is best represented by ( (R
  4. DVariation of acceleration due to gravity (g) with distance x from the centre of the earth is best represented by ( (R

Correct answer

D. Variation of acceleration due to gravity (g) with distance x from the centre of the earth is best represented by ( (R

Step-by-step solution

As the loop moves, there are three cases. (i) When the loop moves fully outside the magnetic field, there is no change in flux. ∴ε=dϕdt=0\therefore \varepsilon=\frac{d \phi}{d t}=0 (ii) When the loop is entering/leaving the area of magnetic field. ε=BLV=(0.9)(2×10−2)(2×10−2)=2×10−4 V\begin{gathered}\varepsilon=B L V=(0.9)\left(2 \times 10^{-2}\right)\left(2 \times 10^{-2}\right) \\ =2 \times 10^{-4} \mathrm{~V}\end{gathered} As flux is in opposite direction to magnetic field. ε\varepsilon when loop enters the field =−2×10−4 V=-2 \times 10^{-4} \mathrm{~V} =2×10−4 V=2 \times 10^{-4} \mathrm{~V} (iii) When moving inside the magnetic field. dϕdt=0\frac{d \phi}{d t}=0 ∴\therefore No emf is induced.
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