AP EAMCET · PHYSICS · Electromagnetic Induction
The length of a wire required to make a solenoid of length \(l\) and self-induction \(L\) is
- A \(\sqrt{\frac{4 \pi L l}{\mu_0}}\)
- B \(\sqrt{\frac{L I}{4 \pi \mu_0}}\)
- C \(\sqrt{\frac{2 \pi L I}{\mu_0}}\)
- D \(\sqrt{\frac{\mu_0 L I}{4 \pi}}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{\frac{4 \pi L l}{\mu_0}}\)
Step-by-step Solution
Detailed explanation
Length of wire in solenoid \(=2 \pi r \times N\) \[ =2 \pi r \sqrt{\frac{L l}{\mu_0 \pi r^2}}\left\{\begin{array}{c} \therefore L=\frac{\mu_0 N^2 A}{l} \\ A=\pi r^2 \end{array}\right\}=\sqrt{\frac{4 \pi L l}{\mu_0}} \]
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
- The maximum distance between the transmitting and receiving antennas for satisfactory communication in line of sight mode is 57.6 km . If the height of the receiving antenna is 80 m , the height of the transmitting antenna is (Radius of earth \(=6.4 \times 10^6 \mathrm{~m}\) )AP EAMCET 2024 Easy
- When a weight of \(10 \mathrm{~kg}\) is suspended from a copper wire of length \(3 \mathrm{~m}\) and diameter \(0.4 \mathrm{~mm}\), its length increases by \(2.4 \mathrm{~cm}\). If the diameter of the wire is doubled, then the extension in its length will beAP EAMCET 2020 Medium
- 117.An L-C resonant circuit contains a 400 pF capacitor and an inductor of 400 μH. It is coupled to an antenna. Wavelength of
radiated electromagnetic wave isAP EAMCET 2021 Medium - The number of significant figures in \(4.870 \mathrm{~m}\) isAP EAMCET 2023 Easy
- In a CE-transistor feed back oscillator circuit, the phase difference between input and output signal isAP EAMCET 2017 Easy
- A message signal of frequency \(14 \mathrm{kHz}\) is used to modulate a carrier of frequency \(900 \mathrm{kHz}\), then the frequencies of side bands areAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- \(\mathrm{A}(2,3,5), \mathrm{B}(\alpha, 3,3)\) and \(\mathrm{C}(7,5, \beta)\) are the vertices of a triangle. If the median through \(\mathrm{A}\) is equally inclined with the coordinate axes, then \(\frac{\beta}{\alpha}=\)AP EAMCET 2023 Easy
- The incorrect statement from the following isAP EAMCET 2025 Medium
- A bag contains 19 red balls and 19 black balls. Two balls are chosen at a time repeatedly and discarded if they are of the same colour, but if they are different, black ball is discarded and red ball is returned to the bag. The probability that this process will terminate with one red ball isAP EAMCET 2022 Medium
- Two slabs \(A\) and \(B\) of different materials but of the same thickness are joined end to end to form a composite slab. The thermal conductivities of \(A\) and \(B\) are \(k_1\) and \(k_2\) respectively. A steady temperature difference of \(12^{\circ} \mathrm{C}\) is maintained across the composite slab. If \(k_1=\frac{k_2}{2}\), the temperature difference across slab \(A\) isAP EAMCET 2011 Easy
- If \(\frac{x^2}{(2 x-1)(x+2)(x-3)}\) \(=A+\frac{B}{2 x-1}+\frac{C}{x+2}+\frac{D}{x-3}\), then \(A\) is equal toAP EAMCET 2005 Easy
- The number of 5 digit odd numbers greater than 40,000 that can be formed by using \(3,4,5,6,7,0\) so that at least one of its digit must be repeated isAP EAMCET 2024 Hard