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Chapter 28, Problem 011 An ion source is producing 6Li ions, which have charge +

ID: 1773433 • Letter: C

Question

Chapter 28, Problem 011 An ion source is producing 6Li ions, which have charge +e and mass 9.99 × 10-27 kg. The ions are accelerated by a potential difference of 12 kV and pass horizontally into a region in which there is a uniform vertical magnetic field of magnitude B = 1.6 T. Calculate the strength of the smallest electric field, to be set up over the same region, that will allow the 6Li ions to pass through undeflected Number Units the tolerance is +/-390 Show Work is REQUIRED for this question: Open Show Work

Explanation / Answer

let's find the velocity acquired

qV = 1/2 mv^2

1.6 x 0^-19 = 0.5 (9.99 x 10^-27) v^2

v^2= 0.320 x 10^ 8

v= 0.565 x 10^ 4 m/s

Fe = Fb

qE = qVB

E = 0.565 x 10^4 x 1.6 = 0.905 x 10^6 V/M

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