A 9.0 voltag battery is connected across a 2.2kilo ohms and 6.8kilo omhs resistors connected in series. (a) calculate the potential differences across the 2.2 kilo ohm registor. (b calculate the potential differences across the 6.8 Kilo omhs resistor​

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Paounn

Answer:

2.2V; 6.8V

Explanation:

That's a classic voltage divider. The voltage drop across the [tex]2.2 k\Omega[/tex] is [tex]V_{2.2} = {{2.2} \over {2.2+6.8}} 9V = 2.2V[/tex]. The drop across the second resistor is what's left, or [tex]6.8V[/tex]

Else, the two resistors behave like a single resistor of [tex]9k\Omega[/tex] (the sum of the two, since it's a series). It means that across them flows a 1mA current (Ohm first law), from which you can calculate the drop across each resistor by multiplying the current by each resistence.