3) Consider a simple circuit with one battery V0=5.0 Volts, connected to one res
ID: 1440789 • Letter: 3
Question
3) Consider a simple circuit with one battery V0=5.0 Volts, connected to one resistor, R=1.5 kilo- Ohms. Take the resistor to have cylindrical geometry with a length of 12 cm and a radius of 2.5 mm.
a) What’s the electric field force on each free carrier, assumed to have a charge of +e.
b) If you increase the voltage of the battery, does each of the following increase, decrease or stay the same: carriers per unit volume, mean free time between collisions, current density, drift velocity, resistivity, electric field in the resistor?
Explanation / Answer
b) When V is increase speed of charge increases hence change/volume increases.
When V is increase speed of charge increases and thus there frequency of collision and thus mean time between collisions increases.
By equation E= V/d , When V is increase E increases.
By equation V= IR, When V is increase I increases and thus current density J= I/A increases.
Resistivity is the internal property of the material, it never changes with the increase or decrease in the voltage.
By equation , vd = I/neA as V increase , I increases and thus vd increases.
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