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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2021 · Physics · Magnetic Effects of Current

An infinitely long straight conductor carries a current of 5A as...

An infinitely long straight conductor carries a current of 5A5A as shown. An electron is moving with a speed of 105ms−1{10}^{5}m{s}^{- 1} parallel to the conductor. The perpendicular distance between the electron and the conductor is 20cm20cm at an instant. Calculate the magnitude of the force experienced by the electron at that instant.

An infinitely long straight conductor carries a current of 5A as shown. An electron is moving with a speed of 10 ^ 5 m

Options

  1. A4×10−20N4 \times {10}^{- 20}N
  2. B8π×10−20N8\pi \times {10}^{- 20}N
  3. C4π×10−20N4\pi \times {10}^{- 20}N
  4. D8×10−20N8 \times {10}^{- 20}N

Correct answer

D. 8×10−20N8 \times {10}^{- 20}N

Step-by-step solution

Magnetic Field due to a current carrying wire at 20cm20cm in terms of current II is given by,

B=μ0I2\pidB = \dfrac{{\mu}_{0}I}{2\pid}

B=2×10−7×520×10−2B = \dfrac{2 \times {10}^{- 7} \times 5}{20 \times {10}^{- 2}}

B=0.5×10−5TB = 0 . 5 \times {10}^{- 5}T

Now,

Force on charge particle =qvB= qvB

Fm=eVB{F}_{m} = eVB

Fm=1.6×10−19×105×0.5×10−5{F}_{m} = 1 . 6 \times {10}^{- 19} \times {10}^{5} \times 0 . 5 \times {10}^{- 5}

=8×10−20N= 8 \times {10}^{- 20}N

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