MHT CET · Physics · Electromagnetic Induction
Self-induction of a solenoid cannot be increased by
- A decreasing its length
- B increasing its area of cross-section
- C increasing the current through it
- D increasing the number of turns in it
Answer & Solution
Correct Answer
(C) increasing the current through it
Step-by-step Solution
Detailed explanation
For a solinoid magnetic field at the center is:
\(B=\mu_0\left(\frac{N}{l}\right) I\),
Total magnetic self flux is:
\(\phi=B A N=\mu_0\left(\frac{N}{l}\right) I A N\)
According to the definition of magnetic flux and coefficient of self induction:
\(\phi=L I\)
On comparing the above two expressions, the self-induction of a long solenoid is given by
\(L=\frac{\mu_0 N^2}{L}\)
where, \(N=\) number of truns, \(L=\) Length and \(A=\) cross - sectional area.
Therefore, the self-induction of a long solenoid does not depend upon the current flowing through it.
\(B=\mu_0\left(\frac{N}{l}\right) I\),
Total magnetic self flux is:
\(\phi=B A N=\mu_0\left(\frac{N}{l}\right) I A N\)
According to the definition of magnetic flux and coefficient of self induction:
\(\phi=L I\)
On comparing the above two expressions, the self-induction of a long solenoid is given by
\(L=\frac{\mu_0 N^2}{L}\)
where, \(N=\) number of truns, \(L=\) Length and \(A=\) cross - sectional area.
Therefore, the self-induction of a long solenoid does not depend upon the current flowing through it.
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A string of length ' \(\ell\) ' fixed at one end carries a mass 'm' at the other end. The string
makes \(\frac{3}{\pi}\) revolutions / second around the vertical axis through the fixed end as
shown in figure. The tension 'T' in the string is
MHT CET 2020 Hard - Which of the following phenomenon exhibits particle's nature of light ?MHT CET 2007 Easy
- If the charge on the capacitor is increased by 3 C , the energy stored in it increases by \(21 \%\). The original charge on the capacitor isMHT CET 2025 Medium
- A coil has inductance 2H. The ratio of its reactance, when it is connected first to an AC source and then to DC source, isMHT CET 2019 Medium
- A wire of magnetic material of length '2L' and magnetic moment 'M' is bent at the centre to form 'L' shaped wire. Its magnetic moment isMHT CET 2020 Easy
- Internal energy of \(\mathrm{n}_1\) moles of hydrogen at temperature ' \(\mathrm{T}\) ' is equal to internal energy of ' \(n_2\) ' moles of helium at temperature \(2 T\), then the ratio \(n_1: n_2\) is [Degree of freedom of \(\mathrm{He}=3\), Degree of freedom of \(\mathrm{H}_2=5\) ]MHT CET 2021 Easy
More PYQs from MHT CET
- A body is said to be opaque to the radiation if (a, \(r\) and \(t\) are coefficient of absorption, reflection and transmission respectively)MHT CET 2023 Medium
- P and Q are two non-zero vectors inclined to each other at an angle ‘p’ and ‘q’ are unit vectors along P and Q respectively. The component of Q in the direction of Q will beMHT CET 2019 Medium
- When radiations of wavelength ' \(\lambda\) ' is incident on a metallic surface the stopping potential required is 4.8 volt. If same surface is illuminated with radiations of double the wavelength, then required stopping potential becomes 1.6 volt. Then the value of threshold wavelength for the surface isMHT CET 2023 Medium
- Let the circle with centre at origin pass through the vertices of an equilateral triangle \(A B C\). If \(A \equiv(2,4)\), then the length of the median through A isMHT CET 2025 Medium
- A body of mass \(0.04 \mathrm{~kg}\) excutes simple harmonic motion (SHM) about \(\mathrm{x}=0\) under the influence of force \(\mathrm{F}\) as shown in graph. The period of
MHT CET 2023 Hard - Following changes can be seen in first trimester of pregnancy, EXCEPTMHT CET 2023 Hard