Manufacturing electrical resistors Ohm's law for elec- trical circuits like the one shown in the accompanying figure states that V = RI. In this equa- tion, V is a constant voltage, I is the curent in amperes, and Ris the resistance in ohms. Your firm has been asked to supply the resistors for a circuit in which V will be 120 volts and I is to be 5 ± 0.1 amp. In what interval does R have to lie for I to be within 0.1 amp of the value I, = 5? When Is a Number L Not the Limit of f(x) as x→c? Showing L is not a limit We can prove that lim,c f(x) # L by providing an e > 0 such that no possible 8 > 0 satisfies the condition |fx) – L] < e whene ver 0< |x – c| < 8. We accomplish this for our candidate ɛ by showing that for each 8 > 0 there exists a value of x such that 0< [x – c| < 8 and Ifa)-니 = 8. y=fx) L+e L-E fx) 0 c-8 c+8 a value of x for which 0<|x-c| <& and | fx)-니 8

Manufacturing electrical resistors Ohm's law for elec- trical circuits like the one shown in the accompanying figure states that V = RI. In this equa- tion, V is a constant voltage, I is the curent in amperes, and Ris the resistance in ohms. Your firm has been asked to supply the resistors for a circuit in which V will be 120 volts and I is to be 5 ± 0.1 amp. In what interval does R have to lie for I to be within 0.1 amp of the value I, = 5? When Is a Number L Not the Limit of f(x) as x→c? Showing L is not a limit We can prove that lim,c f(x) # L by providing an e > 0 such that no possible 8 > 0 satisfies the condition |fx) – L] < e whene ver 0< |x – c| < 8. We accomplish this for our candidate ɛ by showing that for each 8 > 0 there exists a value of x such that 0< [x – c| < 8 and Ifa)-니 = 8. y=fx) L+e L-E fx) 0 c-8 c+8 a value of x for which 0<|x-c| <& and | fx)-니 8

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 9CQ: Do impurities in semiconducting materials listed in Table 9.1 supply free charges? (Hint Examine the...

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