KCET · Physics · Magnetic Effects of Current
A solenoid of length \(50 \mathrm{~cm}\) having 100 turns carries a current of \(2.5 \mathrm{~A}\). The magnetic field at one end of the solenoid is
- A \(6.28 \times 10^{-4} \mathrm{~T}\)
- B \(1.57 \times 10^{-4} \mathrm{~T}\)
- C \(9.42 \times 10^{-4} \mathrm{~T}\)
- D \(3.14 \times 10^{-4} \mathrm{~T}\)
Answer & Solution
Correct Answer
(D) \(3.14 \times 10^{-4} \mathrm{~T}\)
Step-by-step Solution
Detailed explanation
Given, length of solenoid, \(l=50 \mathrm{~cm}=0.5 \mathrm{~m}\)
Number of turns, \(N=100\)
Current, \(I=2.5 \mathrm{~A}\)
Number of turns per unit length in the solenoid
\(n=\frac{N}{l}=\frac{100}{0.5}=200 \text { turns } / \mathrm{m}\)
Magnetic field at the one end of solenoid,
\(\begin{aligned}B & =\frac{\mu_0 n I}{2}=\frac{4 \pi \times 10^{-7} \times 200 \times 2.5}{2} \\& =10 \pi \times 10^{-5}=\pi \times 10^{-4}=3.14 \times 10^{-4} \mathrm{~T}\end{aligned}\)
Number of turns, \(N=100\)
Current, \(I=2.5 \mathrm{~A}\)
Number of turns per unit length in the solenoid
\(n=\frac{N}{l}=\frac{100}{0.5}=200 \text { turns } / \mathrm{m}\)
Magnetic field at the one end of solenoid,
\(\begin{aligned}B & =\frac{\mu_0 n I}{2}=\frac{4 \pi \times 10^{-7} \times 200 \times 2.5}{2} \\& =10 \pi \times 10^{-5}=\pi \times 10^{-4}=3.14 \times 10^{-4} \mathrm{~T}\end{aligned}\)
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
- In Young's double slit experiment, a third slit is made in between the double slits. ThenKCET 2008 Medium
- If the last band on the carbon resistor is absent, then the tolerence isKCET 2018 Easy
- A proton and an alpha-particle moving with the same velocity enter a uniform magnetic field with their velocities perpendicular to the magnetic field. The ratio of radii of their circular paths isKCET 2023 Easy
- The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material isKCET 2009 Medium
- The waves set up in a closed pipe areKCET 2017 Easy
- Two protons are kept at a separation of \(10 \mathrm{~nm}\). Let \(F_{n}\) and \(F_{e}\) the nuclear force and the electromagnetic force between themKCET 2020 Easy
More PYQs from KCET
- The distance of the point whose position vector is \((2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})\) from the plane \(\mathbf{r} \cdot(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})=4\) isKCET 2022 Medium
- The reagent which can do the conversion \(\mathrm{CH}_{3} \mathrm{COOH} \longrightarrow \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{OH}\) isKCET 2021 Easy
- Two events \( A \) and \( B \) will be independent ifKCET 2017 Medium
- The centre of a circle which cuts \(x^{2}+y^{2}+6 x-1=0, \quad x^{2}+y^{2}-3 y+2=0\) and \(x^{2}+y^{2}+x+y-3=0\) orthogonally isKCET 2011 Hard
- If \(C\) be the capacitance and \(V\) be the electric potential, then the dimensional formula of \(C V^{2}\) isKCET 2011 Easy
- A wire of a certain material is stretched slowly by \(10 \%\). Its new resistance and specific resistance becomes respectivelyKCET 2022 Medium