Two particles a and b with same charge q and same mass m move uniformly in...

Two particles a and b with same charge q and same mass m move uniformly in a circular orbit around a stationary particle with a charge Q. If a has a speed Va=4m/s and radius Ra=6m, what is the radius of the orbit Rb of b if its speed is Vb=8m/s?

Expert Solution

here,

for a moving charges particle in magnetic feild

the radius of orbit , r = m * v /( q * B)

Va = 4 m/s has radius of orbit Ra = 6 m

Vb = 8 m/s

let the radius of orbit for particle b be Rb

we can write

Rb /Ra = (m * Vb/(q B)) / (m * Va /(q * B))

Rb /6 = 8/4

Rb = 12 m

the radius of orbit is 12 m

genius_generous answered 2 years ago

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