In the diagram below, if q2 is positive then what sign is the charge on q1 in or
ID: 1407087 • Letter: I
Question
In the diagram below, if q2 is positive then what sign is the charge on q1 in order to produce the force required to cause the deflection in the string that supports q1? Not enough information to decide. Negative Positive Neutral In the question above, charge q is 2.1x10^-9C and charge q1 has mass 0.21g. The separation r is 2.6cm, and the angle e is 8.7 degrees. Find ql (magnitude and sign, you don?t need to enter a + for positive answers but you will need to enter a - if negative). Note: the answer for this question is very small and using scientific notation will help. This system uses E in place of x10 so for example to enter 3x10^-24 type 3E-24 in the answer box.Explanation / Answer
here,
the charge q1 must be positive also
q2 = 2.1 *10^-9 C
distance betweeb q1 and q2 , r = 2.6 cm
r = 0.026 m
electric feild produced by q2 at the location of q1 , E = k * q2/r^2
E = 9 * 10^9 * 2.1*10^-9 / 0.026^2
E = 27958.58 N/C
mass of q1, m1 = 0.21g
m1 = 0.21 * 10^-3 kg
theta = 8.7 degree
let the tension in the string be t
equating the forces vertixalyy
t * cos(theta) = m*g
t * cos(8.7) = 0.21 * 10^-3 * 9.8
t = 2.082 * 10^-3 N
equating the horizontally
t*sin(theta) = q1 * E
2.082 * 10^-3 * sin(8.7) = q1 * 27958.58
q1 = 1.13 * 10^-8 C
the charge q1 is 1.13 * 10^-8 C