Problem 2:Conservation of Cars
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Conservation of charge in one dimension is similar to conservation of cars on a road. Cars move along the road with car density lambda and speed v which, in general, are functions of position. | Conservation of charge in one dimension is similar to conservation of cars on a road. Cars move along the road with car density lambda and speed v which, in general, are functions of position. | ||
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(a) The continuity equation requires that lambda divided by v at all points on the road is the same. | (a) The continuity equation requires that lambda divided by v at all points on the road is the same. | ||
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(b) Nothing in the continuity equation needs to be modified if there is a factory which adds cars to the road and/or a parking garage which takes them off the road. | (b) Nothing in the continuity equation needs to be modified if there is a factory which adds cars to the road and/or a parking garage which takes them off the road. | ||
Revision as of 14:32, 21 March 2007
Conservation of charge in one dimension is similar to conservation of cars on a road. Cars move along the road with car density lambda and speed v which, in general, are functions of position.
(a) The continuity equation requires that lambda divided by v at all points on the road is the same.
(b) Nothing in the continuity equation needs to be modified if there is a factory which adds cars to the road and/or a parking garage which takes them off the road.
