From Ampere's circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of magnetic field in the inside and outside region of the wire is

a linearly increasing function of distance r upto the boundary of the wire and then decreasing one with 1 r dependence for the outside region.

a linearly increasing function of distance upto the boundary of the wire and then linearly decreasing for the outside region.

a linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region

uniform and remains constant for both the regions.

Given below are two statements: Statement I : Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element I d l of a current carrying conductor only. Statement II : Biot-Savart's law is analogous to Coulomb's inverse square law of charge q , with the former being related to the field produced by a scalar source, I d l while the latter being produced by a vector source, q . In light of above statements choose the most appropriate answer from the options given below:

Both Statement I and Statement II are incorrect

Statement I is correct and Statement II is incorrect

Statement I is incorrect and Statement II is correct

Both Statement I and Statement II are correct

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A wire carrying current $I$ has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to $X$ -axis while semicircular portion of radius $R$ is lying in $Y$ - $Z$ plane. Magnetic field at point $O$ is :

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Important Questions on Magnetic Effects of Current and Magnetism

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 3rd May 2015>Q 27

An electron moving in a circular orbit of radius

r

makes

n

rotations per second. The magnetic field produced at the center has magnitude:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 25th July 2015>Q 28

A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. if the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 25th July 2015>Q 29

A circuit contains an ammeter, a battery of 30 v and a resistance 40.8 ohm all connected in series. If the ammeter has coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 25th July 2015>Q 30

A rectangular coil of length

0.12 m

and width

0.1 m

having

50

turns of wire is suspended vertically in a uniform magnetic field of strength

0.2

W e b e r / m^{2}

. The coil carries a current of

2 A

. If the plane of the coil is inclined at an angle of

30^{o}

with the direction of the field, the torque required to keep coil in stable equilibrium will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 4th May 2014>Q 31

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole

\vec{m} .

Which configuration has highest net magnetic dipole moment?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 4th May 2014>Q 32

In an ammeter

0.2 %

of main current passes through the galvanometer. If resistance of galvanometer is

G,

the resistance of ammeter will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 4th May 2014>Q 33

Two identical long conducting wires

A O B

and

C O D

are placed at right angle to each other, with one above other such that ‘

O

’ is their common point for the two. The wires carry

I_{1}

and

I_{2}

currents, respectively. Point ‘

I

’ is lying at distance ‘

d

’ from ‘

O

’ along a direction perpendicular to the plane containing the wires. The magnetic field at the point ‘

P

’ will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 14 - Magnetic Effects of Current and Magnetism>AIPMT - 4th May 2014>Q 34

A thin semicircular conducting ring

(P Q R)

of radius

r

is falling with its plane vertical in a horizontal magnetic field

B,

as shown in figure. The potential difference developed across the ring when its speed is

v,

is:

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying in Y - Z plane. Magnetic field at point O is :

Important Questions on Magnetic Effects of Current and Magnetism

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A wire carrying current $I$ has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to $X$ -axis while semicircular portion of radius $R$ is lying in $Y$ - $Z$ plane. Magnetic field at point $O$ is :