an elecrton is placed in a uniform electric field of 232 n/c charge. if the electron is at rest at the origin of t=0 and the field is in the positive direction, what are the x and y coordinates of the electron at t=2.3 ns
To find the x and y coordinates of the electron at t = 2.3 ns, we need to consider its motion in the uniform electric field.
The electric field causes a force on the electron, given by the equation F = qE, where F is the force, q is the charge of the electron, and E is the electric field strength.
Since the electron starts from rest, we can use the equation of motion:
x = x0 + v0 * t + (1/2) * a * t^2
where x is the final position, x0 is the initial position, v0 is the initial velocity, a is acceleration, and t is time.
In this case, since the electron is moving under the influence of the electric field, we can treat the force on the electron as the net force acting on it. Therefore, the equation becomes:
x = x0 + (1/2) * (qE/m) * t^2
where m is the mass of the electron.
The y coordinate does not change since the electric field is only in the x-direction.
Given:
Electric field strength, E = 232 N/C
Charge of the electron, q = -1.6 x 10^-19 C
Mass of the electron, m = 9.1 x 10^-31 kg
Initial position, x0 = 0
Time, t = 2.3 ns = 2.3 x 10^-9 s
Plugging in the values, we can calculate the x coordinate:
x = 0 + (1/2) * (-1.6 x 10^-19 C * 232 N/C / 9.1 x 10^-31 kg) * (2.3 x 10^-9 s)^2
Simplifying the equation, we get:
x ≈ -0.536 meters
Therefore, at t = 2.3 ns, the x coordinate of the electron is approximately -0.536 meters.
As mentioned earlier, the y coordinate remains unchanged, so at t = 2.3 ns, the y coordinate of the electron remains at the origin (0 meters).
E=232N/coulomb
F=m*a=232*e where e is the charge on the electron. Solve for acceleration, then use displacement= a*t
Now direction....If E is positive, the electron is in the negative direction. You did not state whether field was in +x or+y direction. Remember, the direction of E is the same direction that a +test charge will experience a force. -charges are in the opposite direction.