Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

As shown in the figure, a metallic rod of linear density $0.45 \mathrm{~kg} \mathrm{~m}^{-1}$ is lying horizontally on a smooth inclined plane which makes an angle of $45^{\circ}$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15 \mathrm{~T}$ magnetic field is acting on it in the vertical upward direction, will be :
{ Use $\mathrm{g=10 \mathrm{~m} / \mathrm{s}^{2}}$ }

Option: 1
$30\, \mathrm{A}$

Option: 2
$15\: \mathrm{A}$

Option: 3
$10\: \mathrm{A}$

Option: 4
$3 \: \mathrm{A}$

Answers (1)

best_answer

Force on current carrying conductor
is $\mathrm{F= BI\ell \sin 90^{\circ}}$

$\mathrm{F=(0.15) \times i \times \ell \rightarrow(1)}$
For stationary rod,

$\mathrm{m g \sin \theta=F \cos \theta= B i \ell \cos \theta }$

$\mathrm{\frac{m g}{\ell}=B i }$

$\mathrm{0.45 \times 10=0.15 i }$

$\mathrm{i=30 \mathrm{~A}}$

Hence 1 is correct option.

Posted by

sudhir.kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

5 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82⁰C. If Na₂SO₄ is 81.5% ionised, the value of x (K

A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$

A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO₃ to give fraction A. The leftover organic phase was extracted with d

Trending Articles/News

anam-khan

IIIT Lucknow cut-off for BTech Computer Science courses increased; JEE Main cut-offs of last 3 years

anam-khan

Top private engineering colleges in India with NIRF ranking; BTech admission process

anam-khan

NITs with lowest cut-off for BTech CSE; admissions closed at 7 lakh JEE Main rank last year

Latest Question