1 files changed, 33 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/Conservative fields/Conservative_file6_potential-func.py b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/Conservative fields/Conservative_file6_potential-func.py
new file mode 100644
index 0000000..e52a03a
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/Conservative fields/Conservative_file6_potential-func.py
@@ -0,0 +1,33 @@
+from manimlib.imports import *
+
+def field_func(coordinate):
+	x,y = coordinate[:2]
+	return np.array([
+					np.cos(x), 
+					np.cos(y),
+					0
+				])
+
+class Potential(ThreeDScene):
+	def construct(self):
+		axes = ThreeDAxes()
+		self.add(axes)
+		self.set_camera_orientation(phi=0*DEGREES,theta=0*DEGREES,distance=40)
+		vec_field = VectorField(field_func, x_min =-3, x_max = 3, y_min =-3, y_max =3)
+		surf = ParametricSurface(lambda u,v: np.array([u,v,
+														np.sin(u) + np.sin(v)]),
+														u_min = -3, u_max = 3, v_min = -3, v_max = 3, stroke_color = PURPLE_E, checkerboard_colors = [PURPLE_E, PURPLE_E]).fade(0.5)
+
+		#text 
+		vec = TexMobject(r"\vec F = \cos x \hat i + \cos y \hat j ").set_color(YELLOW_C).shift(3.8*UP+3.6*RIGHT).scale(0.7)
+		func = TexMobject(r"\textit{has a potential function }", r"f(x,y) = \sin x + \sin y").scale(0.7).next_to(vec, DOWN, buff = 0.2)
+		func[1].set_color(PURPLE_E)	
+
+		self.play(ShowCreation(vec_field))
+		self.add_fixed_in_frame_mobjects(vec)
+		self.wait()
+		self.play(FadeIn(surf))
+		self.begin_ambient_camera_rotation()
+		self.move_camera(phi=45*DEGREES,theta=60*DEGREES)
+		self.add_fixed_in_frame_mobjects(func)
+		self.wait(2)