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An electron (with charge 1. 6 xx 10 ^(-1...

An electron (with charge `1. 6 xx 10 ^(-19) C)` moving at right angles to a uniform magnetic field completes a circular orbit in `10 ^(-6) sec.` Calculate the vlaue of magnetic field. Given mass of electron `= 9 xx 10 ^(-31) kg .`

Text Solution

Verified by Experts

`q = e = 1.6 xx 10^(-19)` C
`T = 10^(-6)` S
Mass of electron ` = m = 9 xx 10^(-31)` kg
`T = (2pim)/(Bq)`
`rArr B = (2pim)/(qT)`
`rArr B = 2 xx (22)/(7) xx (9 xx 10^(-31))/(1*6 xx 10^(-19) xx 10^(-6))`
`rArr B = 35*36 xx 10^(-6)`
`rArr B = 3*54 xx 10^(-5)` T
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