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JEE Main 202429 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2024 · 29 January · Evening Shift · Physics · Magnetic Effects of Current

A charge of 4 . 0 is moving with a velocity of 4 . 0 × 10 ^ 6 m s ^...

A charge of 4.0\muC4 . 0\muC is moving with a velocity of 4.0×106ms−14 . 0 \times {10}^{6}m{s}^{- 1} along the positive yy-axis under a magnetic field BB of strength ( 2\overset{^}{k} ) T. The force acting on the charge is x\overset{^}{i}N. The value of xx is ______.

Correct answer

0

Step-by-step solution

Given:

q = 4\muC, \overset{\to}{v} = 4 \times {10}^{6}\overset{^}{j}m{s}^{- 1} and \overset{\to}{B} = 2\overset{^}{k}T

Force acting on charged particle, F→=q(v→×B→)\overset{\to}{F} = q ( \overset{\to}{v} \times \overset{\to}{B} )

= 4 \times {10}^{- 6}\left(4 \times {10}^{6}\overset{^}{j} \times 2\overset{^}{k}\right)

= 4 \times {10}^{- 6} \times 8 \times {10}^{6}\overset{^}{i}

⇒ \overset{\to}{F} = 32\overset{^}{i}N

⇒x=32⇒ x = 32

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