Physics with Calculus
In the relation Ex=−∂V∂xE_{x}=-\(\frac{\partial V}{\partial x}\), what does the symbol ∂∂x\(\frac{\partial}{\partial x}\) instruct you to do?
What does the minus sign in E→=−∇V\(\overrightarrow{E}\)=-\(\nabla\) V indicate physically?
If the electric field at a point is E→=3i^−4j^+12k^ NC\(\overrightarrow{E}\)=3\(\hat{i}\)-4\(\hat{j}\)+12\(\hat{k}\[\text{ }\]\frac{\text{N}\)}{\(\text{C}\)}, what is its magnitude?
Which potential function produces the electric field E→=4xi^+6yj^\(\overrightarrow{E}\)=4x\(\hat{i}\)+6y\(\hat{j}\) in the plane?
Given V(x,y,z)=2xz2−5xy+y2zV(x,y,z) = 2xz^2 - 5xy + y^2z, what is the electric field vector E→\(\overrightarrow{E}\)?
