2. 3. 4. 5. A Charge of - 1.0 mu C is located at the origin, a second charge of
ID: 2131016 • Letter: 2
Question
2.
3.
4.
5.
A Charge of - 1.0 mu C is located at the origin, a second charge of 1.4 mu C is located at x = 0, y = 0.1 m, and a third charge of 12 mu C is located at x = m, y = 0. Find the forces that act on each of the three charges. A -3.38- mu C point charge and a 6.76- mu C point charge are a distance L apart. Where should a third point charge be placed so that the electric force on that third charge is zero? (Hint: Solve this problem by first placing the -3.38- mu C point charge at the origin and place the 6.76- mu C point charge at x = -L.) A point charge q1 = 5.0 mu C is at the origin and a point charge q2 = 6.0 mu C is on the x axis at x = 4 m. Find the electric force on charge q2. Find the electric force on q1. What would your answers for Parts (a) and (b) differ if q2 were -6.0 mu C? An electron has an initial velocity of 2.00 times 106 m/s in the x direction. It enters a uniform electric field which is in the y direction. Find the acceleration of the electron to travel 10 cm in the x direction in the field? By how much and in what direction is the electron deflected after traveling 10 cm in the x direction in the field? (To indicate direction, use negative for down and positive for upward.)Explanation / Answer
2)
E1 = E2
==> q1/x^2 = q2/(x+L)^2
==> 3.38/x^2 = 6.76/(x+L)^2
==> (x+L)^2/x^2 = 6.76/3.38
==> (x+L)/x = 1.414
==> 1 + L/x = 1.414
==> L/x = 0.414
==> x = 2.41 L
3)
E = 0
3/(3*3) + 14/(4*4) - 6/(x^2) = 0
x = 4.97 cm
4)
a)
F = kq1 q2/r^2 = 9e9*5e-6*6e-6/(4*4) = 17 mN
b)
F = -17 mN
c)
F = -17 mN
F = 17 mN
5)
a)
a = F/m = q E/m = -1.6e-19*400/9.109e-31 = -7.026e13 = -7.03e13 m/s2
b)
t = x/vx = 0.10/2e6 = 0.05 us
c)
y = 0.5 a t^2 = 0.5 * (-7.026e13) * (0.05e-6)y2 = -8.78 cm
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