Please help me solve the table for the combined circuits 6,7,10, and 11. Please

Question

Please help me solve the table for the combined circuits 6,7,10, and 11. Please show your work and explain. Also help me fill in column L.

Error Analysis not needed. Assume the equivalent voltage is 14V and every light bulb is a 1 ohm resistor.

Label the brightness of the single bulb circuit (problem 1) as L=10. This light bulb will serve as a baseline for the experiment. If a bulb in another circuit is less bright than this bulb, label it with a brightness of less than 10. If a bulb is brighter label it with brightness greater than 10.

Draw the schematic for the circuit 2 from the procedure section and note the each. make the necessary calculations to fill out the table provided. Draw the schematic for the circuit 3 from the producers section and note the relative brightness of each make the necessary calculations to fill out the table provided. Show all the work. Draw a schematic for four light bulbs in series and note the relative brightness of each. Make the necessary calculations to fill out the table provided. Show all work Draw a schematic for four light bulbs in series and note the relative brightness of each. Make the necessary calculations to fill out the table provide. Show all work. Draw the schematic for circuit 5 from the procedure section and note the relative brightness of each. Make the necessary calculations to fill out the table provided. Show all work

Explanation / Answer

1) P = V^2 /R = 14^2 / 1 = 196 W
2) we have V = I * ( R1 + R2)
14= I * 2
I = 7 A
so, V in R1 = I * R = 7 V
P in R1 = I^2 * R1 = 49 W
so, L for R1 = 10 * 49/ (196) = 2.5
I in R2 = 7 A
V in R2 = I * R2 = 7 V
P in R2 = I^2 * R2 = 49 W
L for R2 = (10 * 49) / 196 = 2.5
Req = ( R1 + R2) = 2
we have I for Req = V/ Req = 14/2 = 7 A
V in Req = I * req = 7 * 2 = 14 V
P in Req = I^2 * Req = (7^2) * 2 = 98 W
L for Req = ( 10 * 98) / 196 = 5
3)
Voltage across R1 = 14 V
Current across R1 = 14/R1 = 14 A
Power , P in R1 = V^2 / R1 =14^2 = 196 W
L in R1 = (196 * 10)/196 = 10
Voltage across R2 = 14 V
Current across R2 = 14/R2 = 14 A
Power , P in R2 = V^2 / R2 =14^2 = 196 W
L in R2 = (196 * 10)/196 = 10
Req = 1/(( 1/R1) + (1/R2)) = 1/ ((1/1) + (1/1)) = 0.5 ohms
Voltage across Req = 14 V
Current across Req = 14/Req = 14/0.5 = 28 A
Power , P in Req = V^2 / Req =14^2/0.5 = 392 W
L in Req = (392 * 10)/196 = 20
4)
Current across R1 = 14/(R1 + R2 + R3) = 14/3 = 4.667 A
Voltage across R1 = I * R1 = 4.667 * 1 = 4.667 V
Power , P in R1 = V^2 / R1 =4.667^2 = 21.780889 W
L in R1 = (21.780889* 10)/196 = 1.111
Current across R2 = 14/(R1 + R2 + R3) = 14/3 = 4.667 A
Voltage across R2 = I * R2 = 4.667 * 1 = 4.667 V
Power , P in R2 = V^2 / R2 =4.667^2 = 21.780889 W
L in R2 = (21.780889* 10)/196 = 1.111
Current across R3 = 14/(R1 + R2 + R3) = 14/3 = 4.667 A
Voltage across R3 = I * R3 = 4.667 * 1 = 4.667 V
Power , P in R3 = V^2 / R3 =4.667^2 = 21.780889 W
L in R3 = (21.780889* 10)/196 = 1.111
Req = R1 + R2+ R3 = 3 ohms
Current across Req = 14/(R1 + R2 + R3) = 14/3 = 4.667 A
Voltage across Req = I * Req = 4.667 * 3 = 14 V
Power , P in Req = V^2 / Req =14^2/3 = 65.333 W
L in Req = (65.333* 10)/196 = 3.333
5)
Voltage across R1 = 14 V
Current across R1 = 14/R1 = 14 A
Power , P in R1 = V^2 / R1 =14^2 = 196 W
L in R1 = (196 * 10)/196 = 10
Voltage across R2 = 14 V
Current across R2 = 14/R2 = 14 A
Power , P in R2 = V^2 / R2 =14^2 = 196 W
L in R2 = (196 * 10)/196 = 10
Voltage across R3 = 14 V
Current across R3 = 14/R3 = 14 A
Power , P in R3 = V^2 / R3 =14^2 = 196 W
L in R3 = (196 * 10)/196 = 10
Req = 1/(( 1/R1) + (1/R2) + (1/R3)) = 1/ ((1/1) + (1/1) + (1/1)) = 0.333 ohms
Voltage across Req = 14 V
Current across Req = 14/Req = 14/0.333 = 42 A
Power , P in Req = V^2 / Req =14^2/0.333 = 588 W
L in Req = (588 * 10)/196 = 30
6)
Req = R3 || ( R1 + R2) = 1|| 2 = 1/ ( (1/1) + (1/2)) = 0.667 ohms
so I, current through Req = 14/ 0.667 = 21 A
P for Req = I^2 * Req = 21^2 * 0.667 = 294.147 W
L for Req = ( 294.147 * 10) / 196 = 15.0075
Voltage across R3 = 14 V
Current through R3 = V/R3 = 14 A
Power through R3 = I^2 * R3 = 14^2 * 1 = 196 W
L for R3 = ( 196 * 10) / 196 = 10
current through R1 = V/( R1 + R2) = 14/2 = 7 A
Voltage V for R1 = I * R1 = 7 * 1 = 7 V
P for R1 = I^2 * R1 = 7^2 = 49 W
L for R1 = (49 * 10) / 196 = 2.5
current through R2 = V/( R1 + R2) = 14/2 = 7 A
Voltage V for R2 = I * R21 = 7 * 1 = 7 V
P for R2 = I^2 * R2 = 7^2 = 49 W
L for R2 = (49 * 10) / 196 = 2.5
7)
Req = ( R1||R2) + R3 = ( 1||1) + 1 = 0.5 + 1 = 1.5 ohms
V for Req = 14 V
I for Req = V/R = 14/1.5 = 9.3333 A
P for Req = I^2 * Req = 9.3333^2 * 1.5 = 130.6666 W
L for Req = ( 130.6666 * 10) / 196 = 6.667
Current through R3 = 9.333 A
V for R3 = I * R3 = 9.333 * 1 = 9.333 V
P for R3 = I^2 * R3 = 9.333^2 * 1 = 87.104889 W
L for R3 = ( 87.104889 * 10 / 196) = 4.444
Voltage across R1 = 14 - Voltage across R3) = 14 -9.333 = 4.667 V
I for R1 = 4.667/1 = 4.667 V
P for R1 = I^2 * R1 = 4.667^2 = 21.780889 W
L for R1 = ( 21.780889 * 10/196) = 1.111
Voltage across R2 = 14 - Voltage across R3) = 14 -9.333 = 4.667 V
I for R2 = 4.667/1 = 4.667 V
P for R2 = I^2 * R1 = 4.667^2 = 21.780889 W
L for R2 = ( 21.780889 * 10/196) = 1.111
8)
V, I , P calculated are right for all the resistances.
L for R1 = (12.25 * 10/196) = 0.625
L for R2 = (12.25 * 10/196) = 0.625
L for R3 = (12.25 * 10/196) = 0.625
L for R4 = (12.25 * 10/196) = 0.625
L for Req = (49 * 10/196) = 2.5
9)
Req = 1/4 = 0.25 ohms
I for Req = V/Req = 14/0.25 = 56 A
P for Req = I^2 * Req = 56^2 * 0.25 = 784 W
L for Req = ( 784*10/196) = 40
L for R1 = ( 196 *10/196) = 10
L for R2 = ( 196 *10/196) = 10
L for R3 = ( 196 *10/196) = 10
L for R4 = ( 196 *10/196) = 10
10)
we have Req = R4 || ( R3 + (R1||R2)) = 1|| ( 1 + (1||1)) = 1|| ( 1 + 0.5) = 1||1.5 = 0.6 ohms
so, I for Req = V/ Req = 14/0.6 = 23.333 A
P for Req = I^2 * Req = 23.333^2 * 0.6 = 326.6573334 W
L for Req = ( 326.6573334 * 10/196) = 16.666
V for R4 = 14 V
I for R4 = V/R4 = 14 A
P for R4 = I^2 * R4 = 14^2 = 196 W
L for R4 = (196 * 10/196) = 10
I for R3 = ( I for Req ) - (I for R4) = 23.333 - 14 = 9.333 A
V for R3 = I * R3 = 9.333 V
P for R3 = I ^2 * R3 = 9.333^2 = 87.104889 W
L for R3 = ( 87.104889 * 10 / 196) = 4.444
V for R2 = 14 - ( V for R3) = 14 - 9.333 = 4.667 V
I for R2 = 4.667 A
P for R2 = I ^ 2 * R2 = 4.667^2 = 21.780889 W
L for R2 = ( 21.780889 * 10 / 196) = 1.111
V for R1 = 14 - ( V for R3) = 14 - 9.333 = 4.667 V
I for R1 = 4.667 A
P for R1 = I ^ 2 * R2 = 4.667^2 = 21.780889 W
L for R1 = ( 21.780889 * 10 / 196) = 1.111
11)
we have Req = ( R2 || ( R1 + R3) ) + R4 = ( 1|| ( 1+1)) + 1 = ( 1||2) + 1 = 0.667 + 1 = 1.667
so I for Req = V/ Req = 14/1.667 = 8.3983 A
P for Req = I ^2 * Req = 8.3983^2 * 1.667 = 117.5759 W
L for Req = ( 117.5759 * 10 / 196) = 5.9987
I for R4 = I for Req = 8.3983 A
V for R4 = I * R4 = 8.3983 V
P for R4 = I ^2 * R4 = 8.3983^2 = 70.53144289 W
L for R4 = ( 70.53144289 * 10 / 196) = 3.59854
V for R2 = 14 - ( V for R4) = 14 - 8.3983 = 5.6017 V
I for R2 = V/R2 = 5.6017 A
P for R2 = I^2 * R2 = 5.6017^2 = 31.37904289 W
L for R2 = ( 31.37904289 *10/196) = 1.6
I for R1 = ( I for Req) - ( I for R2) = 8.3983 - 5.6017 = 2.7966 A
V for R1 = I * R1 = 2.7966 V
P for R1 = I^2 * R1 = 2.7966^2 = 7.82097156 W
L for R1 = (7.82097156*10 / 196) = 0.399
I for R3 = ( I for Req) - ( I for R2) = 8.3983 - 5.6017 = 2.7966 A
V for R3 = I * R3 = 2.7966 V
P for R3 = I^2 * R3 = 2.7966^2 = 7.82097156 W
L for R3 = (7.82097156*10 / 196) = 0.399

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