Question

An alpha particle (M = 6.64x10^-27 kg, Q = +2e) is released in a region of electric potential. Through what potential difference must the alpha particle travel in order to accelerate from rest to 7.6x10⁵ m/s. Does the alpha particle travel to higher or lower potential in this motion? (show work used to determine)

Three capacitors are connected together in the following manner: C₁ = 8.00 ?F and C₂ = 14.0 ?F are connected in parallel. This parallel combination is then in series with C₃ = 30.0 ?F. The three capacitor combination is then connected to a 9.00 V battery. Calculate the equivalent capacitance for the three capacitor combination. Calculate the total charge on the equivalent capacitance. Calculate the charge and electric potential on the capacitor C. ------ Include a drawing on this one please. (show work used to determine)

Answer 1

Answer 2

1) q V = 1/2 mv^2

2*1.6E-19*V = 0.5*6.64E-27*7.6E5^2

V=5993 Volts

lower voltage

2)

combine 8 and 14 = 14 + 8 = 22 uF

in series

1/22 + 1/30 = 1/C

C=12.69 uF

Q = CV = 12.69*9= 114 uC