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AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQMathematical18.1k
Point P in two-dimensional polar coordinates.
Point P in two-dimensional polar coordinates.
The electric potential in a region of space, expressed in two-dimensional polar coordinates \((r, \theta)\), is given by \(V(r, \theta) = \dfrac{V_0 R^2 \cos\theta}{r^2}\), where \(V_0\) and \(R\) are positive constants. The radial component \(E_r\) and angular component \(E_\theta\) of the electric field are related to the potential by \(E_r = -\dfrac{\partial V}{\partial r}\) and \(E_\theta = -\dfrac{1}{r}\dfrac{\partial V}{\partial \theta}\). Which of the following correctly gives the expressions for \(E_r\) and \(E_\theta\)?

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