Electric Potential III Fields Potential Conductors Potential and
- Slides: 14
Electric Potential (III) - Fields - Potential - Conductors
Potential and Continuous Charge Distributions We can use two completely different methods: 1. 2. Or, Find from Gauss’s Law, then…
Ex 1: Given V=3 x 2+12 x-1, find where E=0.
Ex 2: The Electric Potential of a Dipole y a -q a +q P Find: a) Potential V at point P. b) What if x>>a ? c) Find E. x
Solution
Ex 3: Find the potential of a finite line charge at P, AND the y-component of the electric field at P. P r d dq x L
Solution
Ex 3: Find the potential of a uniformly charged sphere of radius R, inside and out. R
Uniformly Charged Sphere, radius R E R r V
Recall that the electric field inside a solid conducting sphere with charge Q on its surface is zero. Outside the sphere the field is the same as the field of a point charge Q (at the center of the sphere). The point charge is the same as the total charge on the sphere. Find the potential inside and outside the sphere. +Q R
Solution -Inside (r<R), E=0, integral of zero = constant, so V=const -Outside (r>R), E is that of a point charge, integral gives V=k. Q/r
Solid Conducting Sphere, radius R E R r V
Quiz A charge +Q is placed on a spherical conducting shell. What is the potential (relative to infinity) at the centre? A) B) C) D) ke. Q/R 1 ke. Q/R 2 ke. Q/ (R 1 - R 2) zero +Q R 1 R 2
Calculating V from Sources: i) Point source: (note: V 0 as r ) or ii) Several point sources: (Scalar) iii) Continuous distribution: OR … I. Find from Gauss’s Law (if possible) II. Integrate, (a “line integral”)
- Electric field lines
- Chapter 33 conceptual physics
- Red fields to green fields
- Electric field formula voltage
- Electric potential is
- What is electric potential
- Define electric potential and potential difference.
- Electrical potential
- Electric potential inside non conducting sphere
- Pe q
- Electric forces and fields concept review
- Chapter 16: electric forces and fields answers
- Electric currents and magnetic fields
- Visualizing magnetic field
- Electric fields quiz