AIEEE 2011 | Magnetic Effect of Current Question 173 | Physics

1

AIEEE 2011

MCQ (Single Correct Answer)

+4

-1

A current $$I$$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $$R.$$ The magnitude of the magnetic induction along its axis is:

A

$${{{\mu _0}I} \over {2{\pi ^2}R}}$$

B

$${{{\mu _0}I} \over {2\pi R}}$$

C

$${{{\mu _0}I} \over {4\pi R}}$$

D

$${{{\mu _0}I} \over {{\pi ^2}R}}$$

2

AIEEE 2010

MCQ (Single Correct Answer)

+4

-1

Two long parallel wires are at a distance $$2d$$ apart. They carry steady equal currents flowing out of the plane of the paper as shown. The variation of the magnetic field $$B$$ along the line $$XX'$$ is given by

A

AIEEE 2010 Physics - Magnetic Effect of Current Question 171 English Option 1

B

AIEEE 2010 Physics - Magnetic Effect of Current Question 171 English Option 2

C

AIEEE 2010 Physics - Magnetic Effect of Current Question 171 English Option 3

D

AIEEE 2010 Physics - Magnetic Effect of Current Question 171 English Option 4

3

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$) and $$DA$$ (radius $$=a$$) of the loop are joined by two straight wires $$AB$$ and $$CD$$. A steady current $$I$$ is flowing in the loop. Angle made by $$AB$$ and $$CD$$ at the origin $$O$$ is $${30^ \circ }.$$ Another straight thin wire steady current $${I_1}$$ flowing out of the plane of the paper is kept at the origin. AIEEE 2009 Physics - Magnetic Effect of Current Question 173 English

AIEEE 2009 Physics - Magnetic Effect of Current Question 173 English

The magnitude of the magnetic field $$(B)$$ due to the loop $$ABCD$$ at the origin $$(O)$$ is :

A

$${{{\mu _0}I\left( {b - a} \right)} \over {24ab}}$$

B

$${{{\mu _0}I} \over {4\pi }}\left[ {{{b - a} \over {ab}}} \right]$$

C

$${{{\mu _0}I} \over {4\pi }}\left[ {2\left( {b - a} \right) + {\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 3$}}\left( {a + b} \right)} \right]$$

D

zero

4

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$) and $$DA$$ (radius $$=a$$) of the loop are joined by two straight wires $$AB$$ and $$CD$$. A steady current $$I$$ is flowing in the loop. Angle made by $$AB$$ and $$CD$$ at the origin $$O$$ is $${30^ \circ }.$$ Another straight thin wire steady current $${I_1}$$ flowing out of the plane of the paper is kept at the origin. AIEEE 2009 Physics - Magnetic Effect of Current Question 172 English

AIEEE 2009 Physics - Magnetic Effect of Current Question 172 English

Due to the presence of the current $${I_1}$$ at the origin:

A

The forces on $$AD$$ are $$BC$$ are zero.

B

The magnitude of the net force on the loop is given by $${{{I_1}I} \over {4\pi }}{\mu _0}\left[ {2\left( {b - a} \right) + {\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 3$}}\left( {a + b} \right)} \right].$$

C

The magnitude of the net force on the loop is given by $${{{\mu _0}I{I_1}} \over {24ab}}\left( {b - a} \right).$$

D

The forces on $$AB$$ and $$DC$$ are zero.