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Looking for a proper answer to my circuits problem. I'm really confused with the first two...

Looking for a proper answer to my circuits problem. I'm really confused with the first two parts, and the graphing part as well.

Looking for a proper answer to my circuits

Here's the figure referenced in the question. (25.20)

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Answer #1

let the current started from 1.20 V battery is i1 and started from \varepsilon is i2

if the current through 5.0 ohm resistor is i then

i = i1 + i2

i2 = 50 mA

V2ohm = (50 mA) (2.0 ohm)

= 100 mV

= 0.1 V

\varepsilon + 0.1 V = 1.20 V

\varepsilon = 1.20 - 0.1

= 1.1 V

current through 5.0 oh resistor is

i = 1.20 / 5.0

= 0.24 A

= 240 mA

the current through the 4.00 ohm resistor is i1 then

i1 = i - i2

= 240 mA - 50 mA

= 190 mA

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