(C) When two parallel circular coils carry current in the same direction,they attract each other. Since they are in series,the current $I$ is the same

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Force is proportional to $d^{-1}$.

(C) When two parallel circular coils carry current in the same direction,they attract each other. Since they are in series,the current $I$ is the same in both. The magnetic field $B$ produced by one coil at a distance $d$ is proportional to $I/d^3$ for a dipole,but for the force between two current loops,the interaction force $F$ between two magnetic dipoles separated by distance $d$ is proportional to $d^{-4}$. However,considering the interaction of current elements,the force between two parallel current-carrying loops is proportional to $d^{-2}$ in the near field approximation. The statement that the force is proportional to $d^{-1}$ is incorrect.

Class 12 Physics Moving Charges and Magnetism Mix Examples-Moving Charges and Magnetism

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One of the two small circular coils (neither having any self-inductance) is suspended with a $V$-shaped copper wire,with its plane horizontal. The other coil is placed just below the first one with its plane horizontal. Both coils are connected in series with a $dc$ supply. The coils are found to attract each other with a force. Which one of the following statements is incorrect?

JEE MAIN 2013 All JEE MAIN

A
Both the coils carry currents in the same direction.
B
Coils will attract each other,even if the supply is an $ac$ source.
C
Force is proportional to $d^{-1}$.
D
Force is proportional to $d^{-2}$.

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Moving Charges and Magnetism

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Mix Examples-Moving Charges and Magnetism

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The current flowing along the path $A B C D$ of a cube (shown in the left figure) produces a magnetic field at the centre of the cube of magnitude $B$. Dashed lines depict the non-conducting part of the cube. Consider a cubical shape shown to the right which is identical in size and shape to the left. If the same current now flows in along the path $D A E F G C D$,then the magnitude of the magnetic field at the centre will be

KVPY 2018

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Which of the following statements is correct?

Medium

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$A$ conductor lies parallel to the $Z$-axis between $-1.5 \le Z < 1.5 \text{ m}$,carrying a constant current of $10.0 \text{ A}$ in the $-\hat{a}_z$ direction. For the given magnetic field $\vec{B} = 3.0 \times 10^{-4} e^{-0.2x} \hat{a}_y \text{ T}$,find the power required to move the conductor at a constant speed from $x = 0$ to $x = 2.0 \text{ m}$ in a time interval of $5 \times 10^{-3} \text{ s}$. Assume the motion is parallel to the $X$-axis. ........... $\text{W}$

Difficult

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$A$ proton beam is moving from north to south and an electron beam is moving from south to north. Neglecting the Earth's magnetic field,the electron beam will be deflected (assuming zero gravity):

Easy

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Match the following and find the correct pairs.
List-$I$ List-$II$
$(A)$ Fleming's left hand rule $(i)$ Direction of induced current
$(B)$ Right hand thumb rule (ii) Magnitude and direction of magnetic induction
$(C)$ Biot-Savart law (iii) Direction of force due to magnetic induction
$(D)$ Fleming's right hand rule (iv) Direction of magnetic lines due to current

List-$I$	List-$II$
$(A)$ Fleming's left hand rule	$(i)$ Direction of induced current
$(B)$ Right hand thumb rule	(ii) Magnitude and direction of magnetic induction
$(C)$ Biot-Savart law	(iii) Direction of force due to magnetic induction
$(D)$ Fleming's right hand rule	(iv) Direction of magnetic lines due to current

EasyTS EAMCET 2011

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