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All questions of Moving Charges and Magnetism for Grade 9 Exam

Two concentric coils carry the same current in opposite directions. The diameter of the inner coil is half that of the outer coil. If the magnetic field produced by the outer coil at the common centre are 1 T, the net field at the centre is
  • a)
    4T
  • b)
    2T
  • c)
    1T
  • d)
    3T
Correct answer is option 'C'. Can you explain this answer?

Krishna Iyer answered

The magnetic field produced by a current-carrying coil at its center is given by the formula,
B = μ0 * (N*I/R),
where,
B is the magnetic field,
μ0 is the permeability of free space,
N is the number of turns in the coil,
I is the current through the coil, and
R is the radius of the coil.
In this case, both the coils carry the same current but in opposite directions. So, the fields produced by them will be in opposite directions. Also, the diameter of the inner coil is half that of the outer coil. Thus, the radius of the inner coil will be half that of the outer coil.
Therefore, the field at the center due to the inner coil will be double that due to the outer coil (because the magnetic field is inversely proportional to the radius).
Since the fields are in opposite directions, the net field at the center will be the difference between the two fields. That is, 2B (due to the inner coil) - B (due to the outer coil) = B.
So, if the field due to the outer coil is 1 T (Tesla), the net field at the center will also be 1 T.
Hence, the correct answer is 3. 1T.

Wire of length l, carries a steady current I. It is bent first to form a circular coil of one turn. The same wire of same length is now bent more sharply to give two loops of smaller radius the magnetic field at the centre caused by the same current is
  • a)
    one third of its initial value
  • b)
    nine times of its initial value
  • c)
    four times of its initial value
  • d)
    unaltered
Correct answer is option 'C'. Can you explain this answer?

Om Desai answered
Let the radii be r1​ and r2​ respectively.
Since there are two turns of radius r2​, r1​=2r2​
Magnetic field B at the centre of  the coil of radius r1​ B1​=​μo​i/2r1​=​μo​i​/4r2
Magnetic field B at the center of the coil of radius r2​ B2​=2×​μo​i​/2r2
∴ B2/B1 =(2× μo​i/2r2​)/(μo​i /4r2​)​ ​​=4
Hence the answer is option C, four times its initial value.
 

A circular coil of radius r carries current I. The magnetic field at its center is B. at what distance from the center on the axis of the coil magnetic field will be B/8
  • a)
    √3R
  • b)
    √2R
  • c)
    2R
  • d)
    3R
Correct answer is option 'A'. Can you explain this answer?

Shilpa Saha answered
As you know that magnetic field at point on the axis of current carrying ring is 


where x is the point on the axis of ring, R is the radius of ring , i is the current carrying on ring and N is the number of turns .



This is possible only when x = +-√3R 
Hence, √3R distance from the centre magnetic field is equal to magnetic field at centre .

A rectangular loop carrying a current I is situated near a long straight wire such that the wire is parallel to the one of the sides of the loop and is in a plane of the loop. If a steady current I is established in wire as shown in figure, the loop will
  • a)
    move away from the wire or towards right
  • b)
    remain stationary
  • c)
    rotate about an axis parallel to the wire
  • d)
    move towards the wire
Correct answer is option 'D'. Can you explain this answer?

Top Rankers answered
The long straight wire and side AB  carry current in the same direction, hence will attract each other.
The long straight wire and side CD carry current in the opposite direction, hence will repel each other.
Force on side BC  will be equal and opposite to force on side DA.
Since CD  is farther from the wire than AB,  the force of attraction on  AB  will exceed the force of repulsion on CD.
Hence, there will be a net force of attraction on the loop ABCD and it will move towards the wire.

We use _________ to find the direction of force when two current carrying conductors are kept parallel to each other.
  • a)
    Lenz’s Law
  • b)
    Right Hand Rule
  • c)
    Fleming’s Left Hand Rule
  • d)
    Ampere’s Circuital Law
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
(i) To know the direction of magnetic field produced around a straight conductor-carrying current. Rule used is-Right hand thumb rule’.       
(ii) Fleming’s left hand rule is used to find the direction of force experienced by a current carrying straight conductor, when placed in a magnetic field, which is perpendicular to it.       
(iii) Fleming’s right hand rule is used to determine the direction of current induced in a coil due to its rotation in a magnetic field.

In two current carrying conductors parallel currents________, anti parallel currents_________ .​
  • a)
    attract , attract
  • b)
    attract , repel
  • c)
    repel , attract
  • d)
    repel , repel
Correct answer is option 'B'. Can you explain this answer?

Karan Sd answered
In parallel wires the current are flowing in the same direction so they attract each other . if the current are flowing in opposite directions they repel each other

The connecting wires of a battery of an automobile carry 200 A of current. Calculate the force per unit length between the wires if they are 50 cm long and 2 cm apart?​
  • a)
    4Nm-1
  • b)
    0.4Nm-1
  • c)
    0.04Nm-1
  • d)
    40Nm-1
Correct answer is option 'B'. Can you explain this answer?

Given parameters:
Current, I = 200 A
Length of the wire, l = 50 cm = 0.5 m
Distance between the wires, d = 2 cm = 0.02 m

To find: Force per unit length between the wires

Formula used: Magnetic force per unit length between two parallel conductors is given by the formula:

F/L = μ0 I1 I2 / 2πd

Where
F/L = force per unit length
μ0 = permeability of free space = 4π x 10^-7 Tm/A
I1, I2 = current in the two wires
d = distance between the wires

Substituting the given values in the above formula, we get:

F/L = (4π x 10^-7 Tm/A) x (200 A)^2 / 2π x 0.02 m
F/L = 0.4 N/m

Therefore, the force per unit length between the wires is 0.4 N/m, which is option (b).

Convert the following sentences into simple past passive.
They never sent me the bill.
Correct answer is 'I was never sent the bill'. Can you explain this answer?

Disha Saha answered
When we convert an active sentence in the simple past tense into the passive voice, we use the verb 'was/were + past participle'. 'Was' is used when the subject is a singular noun or pronoun.
So the answer is, 'I was never sent the bill'.
 

The magnetic field B on the axis of a circular coil at distance x far away from its centre are related as:
  • a)
    Bαx-1
  • b)
    Bαx-4
  • c)
    Bαx-3
  • d)
    Bαx-2
Correct answer is option 'C'. Can you explain this answer?

Naina Bansal answered
The formula for the magnetic field B (flux density) at P at a distance d from the center of O the coil on the axis of the coil of radius r :

Put appropriate punctuation marks in the following sentences.
Sorry to disturb you could I speak to you for a moment
 
Correct answer is 'Sorry to disturb you – could I speak to you for a moment?'. Can you explain this answer?

In the sentence "Sorry to disturb you – could I speak to you for a moment?", the appropriate punctuation marks are a hyphen (-) after "disturb you" and a question mark (?) after "moment".
The hyphen is used to join two words together, in this case "disturb" and "you", to form a compound adjective. A compound adjective is an adjective made up of two or more words that describes a noun. In this sentence, the compound adjective "sorry to disturb you" describes the speaker and indicates that they feel apologetic about interrupting the person they are speaking to.

The question mark is used to indicate that the sentence is a question. In this case, the speaker is asking if they can speak to the person for a moment.

Overall, the punctuation in the sentence helps to clarify the meaning and structure of the sentence, making it easier for the reader to understand.

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