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