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>>Moving Charges and Magnetism
>>Motion of a Charge in Magnetic Field
>> $An electron (mass = 9 \times 10^-31 kg, charg$

Question

An electron $(m a s s = 9 \times 1 0^{- 31} k g, c h a r g e = 1.6 \times 1 0^{- 19} C)$ moving with a velocity of $1 0^{6}$ m/s enters a magnetic field. If it describes a circle of radius 0.1, then strength of magnetic field must be

A

$4.5 \times 1 0^{- 5} T$

B

$1.4 \times 1 0^{- 5} T$

C

$5.5 \times 1 0^{- 5} T$

D

$2.6 \times 1 0^{- 5} T$

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Updated on : 2022-09-05

Solution

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Correct option is C)

$B q v = \frac{m v ^{2}}{r}$ or

$B = \frac{m v}{r q}$

$= \frac{( 9 \times 1 0 ^{- 31} ) \times 1 0 ^{6}}{0 . 1 \times ( 1 . 6 \times 1 0 ^{- 19} )}$

$= 5.5 \times 1 0^{- 5} T$

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