You have 2 resistors (R1=220., R2=100.) that are in parallel with each other. These 2 are in series with a third resistor (R3=22.0). These resistors are in a circuit with a 5.00 V DC power supply . From this information, find Vtot, Req, Itot, I1, I2, I3, V1, V2 and V3. Show all of your work including units.
10 points for answer for sure. Thanks!
10 points for answer for sure. Thanks!
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V total = source = 5 Volt dc
i total = 5V / [(220 ll100)Ohm + 22 Ohm = 55.1mA
i of R1 = (100/320)*(55.1mA) = 17.22mA
i of R2 = (220/320)*(55.1mA) = 37.88mA
i of R3 = i total = 55.1mA
V1 = (.01722A)*(220 Ohm) = 3.788 Volts
V2 = (.03788A)*(100 Ohm) = 3.788 Volts
V3 = (.0551A)*(22 Ohm) = 1.212 Volts
i total = 5V / [(220 ll100)Ohm + 22 Ohm = 55.1mA
i of R1 = (100/320)*(55.1mA) = 17.22mA
i of R2 = (220/320)*(55.1mA) = 37.88mA
i of R3 = i total = 55.1mA
V1 = (.01722A)*(220 Ohm) = 3.788 Volts
V2 = (.03788A)*(100 Ohm) = 3.788 Volts
V3 = (.0551A)*(22 Ohm) = 1.212 Volts
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The symbol didn't show. I'll assume it was the ohm symbol (omega).
Use the power supply negative terminal as the reference point. Then:
Vtot = 5.00VDC <==ANSWER1
R1||R2 = 1/(1/(220ohms)+1/(100ohms))) = 68.75 ohms
Req = R1||R2+R3 = 68.75ohms + 22ohms = 90.75ohms
= 90.8 ohms (rounded) <==ANSWER2
Itot = Vtot/Req = 5.00VDC / 90.75ohms = 0.05510A
= 55.1mA (rounded) <==ANSWER3
I1 = V12/R1 = (ItotxR1||R2)/R1 = Itot x (R1||R2)/R1
= Itot x 1/(1/R1+1/R2) / R1 = Itot x 1/(1+R1/R2)
= Itot x R2/(R1+R2)
= 55.10mA x 100ohms/(220ohms+100ohms) = 17.22mA
= 17.2mA (rounded) <==ANSWER4
I2 = Itot x R1/(R1+R2) = 55.10mA X 220ohms/(220ohms+100ohms)
= 37.88mA = 37.9mA (rounded) <==ANSWER5
V1 = I1R1 = 0.01722A x 220ohm = 3.788V
= 3.79V (rounded) <==ANSWER6
V2 = I2R2 = 0.03788mA x 100ohm = 3.788V
= 3.79V (rounded) <==ANSWER7
V3 = I3R3 = Itot x R3 = 0.05510A x 22ohm = 1.212V
= 1.21V (rounded) <==ANSWER8
Use the power supply negative terminal as the reference point. Then:
Vtot = 5.00VDC <==ANSWER1
R1||R2 = 1/(1/(220ohms)+1/(100ohms))) = 68.75 ohms
Req = R1||R2+R3 = 68.75ohms + 22ohms = 90.75ohms
= 90.8 ohms (rounded) <==ANSWER2
Itot = Vtot/Req = 5.00VDC / 90.75ohms = 0.05510A
= 55.1mA (rounded) <==ANSWER3
I1 = V12/R1 = (ItotxR1||R2)/R1 = Itot x (R1||R2)/R1
= Itot x 1/(1/R1+1/R2) / R1 = Itot x 1/(1+R1/R2)
= Itot x R2/(R1+R2)
= 55.10mA x 100ohms/(220ohms+100ohms) = 17.22mA
= 17.2mA (rounded) <==ANSWER4
I2 = Itot x R1/(R1+R2) = 55.10mA X 220ohms/(220ohms+100ohms)
= 37.88mA = 37.9mA (rounded) <==ANSWER5
V1 = I1R1 = 0.01722A x 220ohm = 3.788V
= 3.79V (rounded) <==ANSWER6
V2 = I2R2 = 0.03788mA x 100ohm = 3.788V
= 3.79V (rounded) <==ANSWER7
V3 = I3R3 = Itot x R3 = 0.05510A x 22ohm = 1.212V
= 1.21V (rounded) <==ANSWER8