Aproton orbits a long charged wire, making 1.80 ×106 revolutions per second. the radius of the orbit is 1.20 cm what is the wire's linear charge density? .

linear charge density = -9.495 × C/m

Explanation:

given data

revolutions per second = 1.80 ×

radius = 1.20 cm

solution

we know that when proton to revolve around charge wire then centripetal force is require to be in orbit of radius around provide by electric force

so

- q × E = m × w² × r     ..................1

- 9 ×  × q =  m × w² × r   ............2

and w =  

w =

w = 1.80 × ×

w = 11304000 rad/s

so here from equation 2

- 9 ×  × 1.80 × =  1.672 × × 11304000² × 0.0120  

linear charge density = -9.495 × C/m