PreQuiz 16-17.2 .:. Go Up
Vector Fields
Each grid line is a meter. Charge A is +12.4 x 10-6 C, and charge B is -36.1 x 10-6 C. Find the electric field at the origin. Draw the vector as an arrow with its tail on the origin, and label the angle you calculated. Carry at least 4 sig figs for your calculations.
Fill this in:
|
magnitude |
trig. angle (opt) |
x |
y |
EA |
=Kg/r2 =(8.99E9)(12.3E-6) /√(52+42) =2718.93 |
=270+tan-1(5/4) =321.34 (Since A is positive, the E field is away from it) |
=Mag(cosӨ) =2718.93(cos 321.34) =2123.13 |
=Mag(sinӨ) =2718.93(sin 321.34) = -1698.5 |
EB |
=Kg/r2 =(8.99E9)(36.1E-6) /√(42+32) = 12981.56
|
=tan-1(3/4) =36.87 (Since B is negative, the E field is toward it) |
=Mag(cosӨ) =12981.56(cos 36.87) =10385.23 |
=Mag(sinӨ) =12981.56(sin 36.87) =7788.94 |
|
|
EA + EB |
12508.37 |
6090.45 |
|
|
|
Magnitude |
Trig Angle |
|
|
|
=√(12508.372+6090.452) =13912.32 N/C |
=tan-1(12508.37/6090.45)) =25.96 degrees
|
Completed by Sarah Smurthwaite