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Magnetic field due to current carrying conductor - class-XII

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In a circular current-carrying conductor, if the current flows in the clockwise direction, the magnetic field direction is __________.

  1. Parallel to the coil towards the observer

  2. Perpendicular to the plane of the coil away from the observer

  3. Perpendicular to the plane of the coil towards the observer

  4. Parallel to the plane of the coil away from the observer


Correct Option: B
Explanation:

The magnetic field are concentric circle at point of a current carrying circular conductor direction of the magnetic field of every section of the circular loop can be found by using the right hand thumb rule .if you curl your right hand fingers in direction of magnetic field your thumb will point in the direction of the current flow.

Consider an experiment where Electric current is flowing in a wire. It is observed that clockwise magnetic field is produced around the wire. A teacher decides to reverse the direction of source battery which results in reversal of electrical current. What will be the effect on magnetic field?

  1. Magnetic field disappears

  2. Direction of field lines reverse

  3. Field lines changes direction to parallel to wire

  4. None of the above


Correct Option: B
Explanation:

Using Right Hand thumb rule, as current direction reverses, you need to reverse the hand and direction of magnetic field reverses.

Axis of a solid cylinder of infinite length and radius $R$ lies along $y$-axis. It carries a uniformly distributed corrent I along +$y$ direction. Magnetic field at a point $(R/2,y,R/2)$ is 

  1. $\cfrac{\mu _{0}I}{4\pi R}\left(\hat{i}-\hat{k}\right)$

  2. $\cfrac{\mu _{0}I}{2\pi R}\left(\hat{j}-\hat{k}\right)$

  3. $\cfrac{\mu _{0}I}{4\pi R}\hat{j}$

  4. $\cfrac{\mu _{0}I}{4\pi R}\left(\hat{j}+\hat{k}\right)$


Correct Option: A

A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with x > 0 is now bent so that it now lies in the $y-z$ plane.

  1. The magnitude of magnetic moment now diminishes.

  2. The magnetic moment does not change.

  3. The magnitude of $\bar B$ at $(0,0, z), z$>>R increases.

  4. The magnitude of $\bar B$ at $(0, 0, z), z$>>R is unchanged.


Correct Option: A
Explanation:

For a circular loop of radius R carrying current, I placed in $x-y$ plane, the magnetic moment $M= I\,\,\pi R^2$. It acts perpendicular to the loop i.e., along with the z-direction. When half of the current loop is bent in y-z plane, the magnetic moment due to half current loop in x-y plane,$ M _1 = I \left (\dfrac {\pi R^2}{2} \right )$ acting along z-direction.
Magnetic moment due to half current loop in y-z plane,$ M _2 = I \left (\dfrac {\pi R^2}{2} \right )$ along x-direction.
Effective magnetic moment due to entire bent current loop,
$M'$ =$\sqrt{{M _{1}^{2}}+ {M _{2}^{2}}} $=$\sqrt {{\left (\dfrac{I \pi R^2}{2} \right )^2}+{\left (\dfrac{I \pi R^2}{2} \right )^2}}$
$M'=\dfrac{I\pi R^2}{2}\sqrt2 <M$
i.e., magnetic moment diminishes.

Which of the following entities are closely associated to each other

  1. Gravitation and nuclear fusion

  2. Electricity and magnetism

  3. Chemical Bonding and Planetary motion

  4. None


Correct Option: B
Explanation:

Electric current and magnetism are very closely related phenomenon and both can be generated using the other.

Define Electromagnetism

  1. The study of attraction or repulsion between two magnets is called electromagnetism

  2. The study of electric effects due to magnetic interaction is called electromagnetism

  3. The study of magnetic effects produced due to electric current is called electromagnetism

  4. The study of magnetic effects produced due to electric charge is called electromagnetism


Correct Option: C
Explanation:

Electromagnetism is study of various phenomenon related to electricity and magnetism. 

Which of the following phenomenon can be related to electric current 

  1. Magentism

  2. Gravitation

  3. Nuclear Fission

  4. Chemical Bonding


Correct Option: A
Explanation:

Electric current and magnetism are very closely related phenomenon and both can be generated using the other.

The Magnetic effect of current was discovered by:

  1. John Ambrose Fleming

  2. Hans Christian Oersted

  3. Michael Faraday

  4. André-Marie Ampère


Correct Option: B
Explanation:
The magnetic effect of an electric current was discovered by Hans Christian Oersted in 1820. He demonstrated the effect by plotting compass close to a long straight wire which is carrying current and noting it's deflection. And the by reversing the direction of the current, the compass needle was deflected in the opposite sense.

How can you determine direction of magnetic field lines around a current carrying conductor

  1. Left hand Thumb Rule

  2. Right Hand Thumb Rule

  3. By rotating the conductor

  4. Using sonometer


Correct Option: B
Explanation:

Direction of magnetic field lines around a current carrying conductor can be found by RIght Hand Thumb Rule.

One metal wire is kept in east-west direction.  $I$  is the current flow due west. Then, due to magnetic field  $\vec { { B } }$  of the earth on the wire is in the........ Direction.

  1. downward

  2. Upward

  3. north

  4. south


Correct Option: C
Explanation:
according to left hand rule. if current is in west direction then magnetic field will be north direction, if force is in north west direction

The shape of a magnetic field lines around a straight current carrying conductor is.......

  1. Circular

  2. Straight line

  3. Curved

  4. Parabolic


Correct Option: A

A loosely wound helix made of stiff wire is mounted vertically with the lower end just touching a dish of mercury when a current from the battery is started in the coil through the mercury

  1. the wire oscillates

  2. the wire continues making contact

  3. the wire breaks contact just when the current is passed

  4. the mercury will expand by heating due to passage of current


Correct Option: A
Explanation:

According to the Biot Savart's law, a current carrying conductor produces a magnetic field in its surroundings. This will cause the helix to oscillate across a mean position.

A moving charge produces

  1. Neither electric field nor magnetic field

  2. Electro-static field only

  3. Magnetic field only

  4. Both magnetic and electro-static field


Correct Option: D
Explanation:

A charged particle produces an electric field around it independent of its motion. But when it is at rest, it doesn't produce a magnetic field. 

When it starts moving, it additionally produces a magnetic field too.

What is the shape of a current-carrying conductor whose magnetic field pattern resembles that of a bar magnet?

  1. circular loop

  2. straight

  3. U-shaped

  4. solenoid


Correct Option: D
Explanation:

Answer is D.

A solenoid is an electromagnet. That is, it acts as a bar magnet only when electricity is passed through it. Its purpose is to generate a controlled magnetic field. 
A solenoid is a coil of insulated or enameled wire wound on a rod shaped form made of solid iron solid steel or powdered iron.

The strength and direction of the magnetic field depends on ..........

  1. Magnitude of electric current

  2. Direction of electric current

  3. Both A and B

  4. None of the above


Correct Option: C
Explanation:

In his experiment Oersted observed that the deflection of the needle compass changed according to the direction of the current and also as the current in the wire increased, the deflection of the needle increased. Thus he inferred that the strength and direction of the magnetic field depends on the magnitude and direction of current.

Which of the following effects of current does not depend on the direction of current?

  1. Lighting and chemical effects

  2. Heating and lighting effects

  3. Heating and magnetic effects

  4. Magnetic and chemical effects


Correct Option: B
Explanation:

Heating effect and lighting effect does not depend on the direction of current.

What inferences were drawn from Oersteds experiment?

  1. A current or a moving charge produces magnetic field around it

  2. Presence of magnetic field can be detected using a compass needle

  3. The strength and direction of the magnetic field depends on the magnitude and direction of the current

  4. All of the above


Correct Option: D
Explanation:

Oersted conducted an experiment to study the magnetic effect of electric current. In this experiment he observed the deflections of a compass needle placed in close proximity of an electric wire carrying current. He observed that in the absence of current the needle came to rest in Earths North-south direction under the influence of Earths magnetic field. However, when the needle was kept in close proximity of an electric wire carrying current it showed deflections in the east and west direction depending on the direction of current. Thus, indicating that the strength and direction of the magnetic field depends on the magnitude and direction of the current.

The magnitude of current is ........ the magnitude of magnetic field

  1. Inversely proportional to

  2. Directly proportional to

  3. Same as

  4. None of the above


Correct Option: B
Explanation:

In his experiment Oersted observed that as the current in the wire increased, the deflection of the needle also increased, indicating that they are directly proportional.

Which of the following observations are true for Hans Oersteds experiment?
a. When current passes through the wire the compass needle comes to rest in a direction along the Earths magnetic field.
b. When placed just above the wire, North Pole of the compass needle deflects towards the east when current is passes from A to B.
c. When placed just below the wire, North Pole of the compass needle deflects towards the east when current is passes from B to A i.e. on reversing the direction of current

  1. a and c

  2. a and b

  3. b and c

  4. All of the above


Correct Option: C
Explanation:

Oersted conducted an experiment to study the magnetic effect of electric current. In this experiment he observed the deflections of a compass needle placed in close proximity of an electric wire carrying current. He observed that in the absence of current the needle came to rest in Earths North-south direction under the influence of Earths magnetic field. However, when the needle was kept below the wire and current was passed from A to B the north pole of the needle deflected towards the west and on reversing the direction of the current from B to A, it deflected towards the east. Similarly, when the needle was kept above the wire and current was passed from A to B the north pole of the needle deflected towards the east and on reversing the direction of the current from B to A, it deflected towards the west. This indicates that the direction of the magnetic field depends on the direction of current.

When current passes through the circuit a compass needle rests in which direction (with respect to the Earth)?

  1. South-north

  2. North-south

  3. East-west

  4. West-east


Correct Option: A
Explanation:

The earth acts like a huge magnet. Thus in the absence of electric current a compass needle always comes to rest in Earths North-south direction. However, when current passes through the circuit the needle comes to rests in the direction opposite to the magnetic field of Earth i.e. South-North direction.

State whether True or False :

If electric current is passed through metal body then it behaves as magnet.

  1. True

  2. False


Correct Option: A
Explanation:

If electric current is passed through metal body then it behaves as magnet. passing an electric current through iron does not produce a magnet. But if you pass a direct current through a coil wound around the piece of iron, you will magnetize it. Passing a direct electric current through the same coil with no iron inside the coil will still produce a magnetic field that behaves just like a magnet. Similarly, passing a direct current through a coil around a piece of Bismuth will create the same magnetic field which behaves just like a magnet.

Who first discovered the relationship between electricity and magnetism?

  1. Faraday

  2. Newton

  3. Maxwell

  4. Oersted


Correct Option: D
Explanation:

Oersted discovered the relationship between electricity and magnetism.

Chose the correct statement from the following:

  1. Electric current is a scalar quantity

  2. Charge carries in metals are ions

  3. The area of current- time graph gives charge

  4. A charge in motion produces both electric and magnetic field


Correct Option: A,C,D
Explanation:
$(i)$ Option- $A$ is correct, since current has no directional attribute to it, it is a scalar quantity.
$(ii)$ Option- $B$ is correct, Charge carries in metal are free electrons whereas in electrolytic solution they are ions
$(iii)$ Option- $C$ is correct because $i=\dfrac{da}{dt}\Rightarrow =i dt \Rightarrow a=\displaystyle \int{i. dt}$
$\displaystyle \int{i. dt}$ is the area under current-time graph
$(iv)$ Option- $D$ is correct, charge in motion produces current which in term produces magnetic field.

Two long parallel wires A and B separated by a distance d, carry currents $i _1$ and $i _2$ respectively in the same direction. Write the following steps in a sequential order to find the magnitude of the resultant magnetic field at a point 'P', which is between the wires and is a distance '$x$' from the wire A.
(All the physical quantities are measured in SI units)
(a) Note the given values of $i _1, i _2$, $d$ and $x$.
(b) Write the formula to find the magnetic field due to a long straight current carrying wire i.e. $\displaystyle B=\frac{\mu _0 i}{2 \pi r}$
(c) Find the directions of the magnetic field at 'P' due to two wires A and B, using right hand thumb rule.
(d) Determine the magnetic field at P due to wire A, using $B _1 \displaystyle = \frac{\mu _0 i _1}{2 \pi x}$
(e) If the directions of magnetic field are same, then the resultant magnitude is equal to the sum of $B _1$ and $B _2$.
(f) Determine the magnetic field $B _2$ due to wire B at point P, ie. $B _2 = \displaystyle \frac{\mu _o i _2}{2 \pi (d-x)}$
(g) If the directions of magnetic fields are opposite to each other, then the resultant magnitude is equal to the difference of $B _1$ and $B _2$.

  1. $d f c e g b a$

  2. $c d f e g b a$

  3. $a c b d f e g$

  4. $a b d f c e g$


Correct Option: D

Consider a region where both uniform electric and magnetic fields E and B are present both along the z-axis. A positively charged particle of charge and mass is released from the origin with an initial velocity ${{\text{V}} _e}\hat i$. Which of the following option(s) are correct?

  1. (A)The y coordinate of the particle at time ${\text{t}} = \frac{{\pi {\text{M}}}}{{{\text{qB}}}}{\text{ is}}\frac{{ - 2{\text{mv}}}}{{{\text{qB}}}}$

  2. (B)The distance between two consecutive point on the z-axis where the particle touches the Z-axis is an odd multiple of a constant distance.

  3. (C)The distance between two consecutive point on the z-axis where the particle touches the Z-axis is an even multiple of a constant distance.

  4. (D)The time after which the particle touches the z-axis is $\frac{{2\pi {\text{m}}}}{{{\text{qB}}}}$


Correct Option: A
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