Read the following and answer any 4 questions from (i) to (v).
In order to produce a magnetic field, a current is sent through a long, helical coil of wire called a solenoid. Because of the current flowing through each coil, the magnetic field of the solenoid is a superposition of the fields generated by those coils. It is nearly uniform inside the solenoid and close to zero outside, and depending on the direction of current flow, it resembles the field of a bar magnet with a north pole at one end and a south pole at the other. A few variables, such as the current flowing through the coil and the number of turns per unit length, affect the magnetic field generated in the solenoid.
A researcher's attempt to observe the variation of the magnetic field with regard to the current in the solenoid yielded the graph below. The magnetic field is measured in milli-Tesla (mT), and the current is expressed in Amperes.
(i) What kind of energy conversion is seen in a linear solenoid?
(a) Mechanical to Magnetic
(b) Electrical to Magnetic
(c) Electrical to Mechanical
(d) Magnetic to Mechanical
(ii) What would happen if you put an iron core inside the solenoid?
a) The bar will be electrocuted, resulting in short-circuit.
b) The bar will be magnetized as long as there is current in the circuit.
c) The bar will be magnetized permanently.
d) The bar will not be affected by any means.
(iii) Which of the following resembles the magnetic field lines produced in a solenoid?
a) A bar magnet
b) A straight current-carrying conductor
c) A circular current-carrying loop
d) An electromagnet of any shape
(iv) Which statement(s) is correct regarding the magnetic field produced by a solenoid with reference to the graph?
I. The magnetic field produced by the solenoid is inversely proportional to the current.
II. The magnetic field produced by the solenoid is directly proportional to the current.
III. The magnetic field produced by the solenoid is directly proportional to the square of the current.
IV. The magnetic field produced by the solenoid is independent of the current.
Choose from the following which of the following would be the correct statement(s).
(a) Only IV
(b) I and III and IV
(c) I and II
(d) Only II
(v) Determine which of the following statements is true based on the graph.
a) For a current of 0. 8𝐴 the magnetic field is 13 𝑚𝑇.
b) For larger currents, the magnetic field increases non-linearly.
c) For a current of 0. 8𝐴 the magnetic field is 1. 3 𝑚𝑇.
d) There is not enough information to find the magnetic field corresponding to 0. 8𝐴 current.

Question

Read the following and answer any 4 questions from (i) to (v).
In order to produce a magnetic field, a current is sent through a long, helical coil of wire called a solenoid. Because of the current flowing through each coil, the magnetic field of the solenoid is a superposition of the fields generated by those coils. It is nearly uniform inside the solenoid and close to zero outside, and depending on the direction of current flow, it resembles the field of a bar magnet with a north pole at one end and a south pole at the other. A few variables, such as the current flowing through the coil and the number of turns per unit length, affect the magnetic field generated in the solenoid.
A researcher's attempt to observe the variation of the magnetic field with regard to the current in the solenoid yielded the graph below. The magnetic field is measured in milli-Tesla (mT), and the current is expressed in Amperes.
(i) What kind of energy conversion is seen in a linear solenoid?
(a) Mechanical to Magnetic
(b) Electrical to Magnetic
(c) Electrical to Mechanical
(d) Magnetic to Mechanical
(ii) What would happen if you put an iron core inside the solenoid?
a) The bar will be electrocuted, resulting in short-circuit.
b) The bar will be magnetized as long as there is current in the circuit.
c) The bar will be magnetized permanently.
d) The bar will not be affected by any means.
(iii) Which of the following resembles the magnetic field lines produced in a solenoid?
a) A bar magnet
b) A straight current-carrying conductor
c) A circular current-carrying loop
d) An electromagnet of any shape
(iv) Which statement(s) is correct regarding the magnetic field produced by a solenoid with reference to the graph?
I. The magnetic field produced by the solenoid is inversely proportional to the current.
II. The magnetic field produced by the solenoid is directly proportional to the current.
III. The magnetic field produced by the solenoid is directly proportional to the square of the current.
IV. The magnetic field produced by the solenoid is independent of the current.
Choose from the following which of the following would be the correct statement(s).
(a) Only IV
(b) I and III and IV
(c) I and II
(d) Only II
(v) Determine which of the following statements is true based on the graph.
a) For a current of 0. 8𝐴 the magnetic field is 13 𝑚𝑇.
b) For larger currents, the magnetic field increases non-linearly.
c) For a current of 0. 8𝐴 the magnetic field is 1. 3 𝑚𝑇.
d) There is not enough information to find the magnetic field corresponding to 0. 8𝐴 current.

Infinity Learn · Accepted Answer

(i) Electrical to Mechanical energy conversion is observed in a linear solenoid. A long coil of wire with numerous turns makes up a solenoid. It develops an internal magnetic field that is nearly uniform when a current flows through it. Solenoids can transform electric current into mechanical action and are commonly employed as switches. Hence, the correct option is c) electrical to mechanical.

(ii) A current-carrying solenoid creates its own magnetic field both inside and outside the solenoid when current is applied. The magnetic field's strength inside the solenoid increases when a soft iron bar or core is inserted because it magnetises the iron bar. If a soft iron bar is placed inside the solenoid, the bar will be magnetised as long as there is current in the circuit. Hence, the correct option is b) The bar will be magnetised as long as there is current in the circuit.

(iii) A solenoid's magnetic field lines resemble those of a bar magnet. The coil has two ends, one of which functions as the magnetic north pole and the other as the south pole. The solenoid's magnetic field has all the characteristics of a bar magnet. Hence, the correct option is a) a bar magnet.

(iv) A solenoid is a coiled wire that generates a magnetic field when an electric current flows through it. Increasing the current flowing through the coil or the number of turns in the coil can increase the magnetic field intensity generated in the coil.

𝐵 = μ₀𝑁𝐼

where B represents magnetic flux density,

μ₀ is the magnetic constant,

𝑁 represents the number of turns,

and 𝐼 is the current flowing through the solenoid.

Thus, it can be concluded that the magnetic field produced by the solenoid is directly proportional to the current.

Hence, the correct option is d) Only II.

(v) From the given graph, it can be deduced that for a current of 0. 8 𝐴, the magnetic field is 13 𝑚𝑇. The value of current of 0. 8 𝐴 on the x-axis corresponds to the magnetic field of 13 𝑚𝑇 on the y-axis.

For larger currents, the magnetic field increases linearly. Thus, option b) is incorrect. Options c) and d) provide inaccurate information about the graph and are incorrect. Hence, the correct option is a) For a current of 0. 8 𝐴, the magnetic field is 13 𝑚𝑇.

Detailed Solution

Best Courses for You

Get Expert Academic Guidance – Connect with a Counselor Today!