The uniform B-field exists, into the paper, within the square boundary (30 cm ti
ID: 1564590 • Letter: T
Question
The uniform B-field exists, into the paper, within the square boundary (30 cm times 30 cm) that is indicated by the dashed lines. A + ion enters REGION "1" as indicated, where the charged capacitor plates produce an E-field. (The charges on the plates are not shown on the figure.) The ion moves in a straight line to point O, where it enters REGION "2." m = 10^-25 kg q = +1.6 times 10^-19 C v = 10^5 m/s B = 0.25 T (a) Find E between the plates in REGION "1". (Magnitude AND direction.) (b) Find the x and y components of the ion's velocity after it leaves REGION "2."Explanation / Answer
a)
in region 1 :
magnetic force on charge = electric force
q v B Sin90 = q E
(1.6 x 10-19) (105) (0.25) = (1.6 x 10-19) E
E = 25000 N/C
direction : using right hand rule , the direction of magnetic force comes out to be towards left , hence the electric force must be towards right. since the charge is positive , hence the electric field has same direction as that of electric force . so direction is towards positive X-axis
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