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Match the following : {:(" ...

Match the following :
`{:(" Column I"," Column II"),("(A) Steady electric field","(p) Can accelerate a stationary charge"),("(B) Steady magnetic field","(q) Can accelerate a moving charge"),("(C) Time varying magnetic field","(r) Can change the speed of a charge"),("(D) Induced electric field","(s) Forms closed loops"):}`,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the matching question, we will analyze each option in Column I and find the appropriate match from Column II based on the principles of electromagnetism. ### Step-by-Step Solution: 1. **Analyze Option A: Steady Electric Field** - A steady electric field can exert a force on a charge. The force \( F \) on a charge \( Q \) in an electric field \( E \) is given by \( F = QE \). - This force can accelerate both stationary and moving charges. - Therefore, it matches with: - (p) Can accelerate a stationary charge - (q) Can accelerate a moving charge - (r) Can change the speed of a charge - **Conclusion**: A matches with P, Q, R. 2. **Analyze Option B: Steady Magnetic Field** - A steady magnetic field does not exert a force on stationary charges (since \( V = 0 \) leads to \( F = 0 \)). - However, it can exert a force on moving charges, given by \( F = Q(V \times B) \). - The force acts perpendicular to the velocity, changing the direction but not the speed of the charge. - Therefore, it matches with: - (q) Can accelerate a moving charge - (s) Forms closed loops (magnetic field lines form closed loops) - **Conclusion**: B matches with Q, S. 3. **Analyze Option C: Time Varying Magnetic Field** - A time-varying magnetic field can induce an electric field (Faraday's Law of Induction). - Similar to a steady magnetic field, it cannot accelerate a stationary charge. - It can accelerate a moving charge and also forms closed loops. - Therefore, it matches with: - (q) Can accelerate a moving charge - (s) Forms closed loops - **Conclusion**: C matches with Q, S. 4. **Analyze Option D: Induced Electric Field** - An induced electric field can exert a force on both stationary and moving charges. - It can accelerate both types of charges and can change their speed. - It can also form closed loops in the case of eddy currents. - Therefore, it matches with: - (p) Can accelerate a stationary charge - (q) Can accelerate a moving charge - (r) Can change the speed of a charge - (s) Forms closed loops - **Conclusion**: D matches with P, Q, R, S. ### Final Matching: - A → P, Q, R - B → Q, S - C → Q, S - D → P, Q, R, S
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