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Answers
Figure 1
a) Figure 1 is diagram for series and parallel
Resistance in Series :
V = V1 + V2 + V3 .......
By Ohm's Law
V = IR
which implies
IR = IR1 + IR2 + IR3 ........
I(R) = I ( R1+R2+R3........)
R = R1 + R2 + R3........
Resistance in Parallel :
I = I1 + I2 + I3 .......
By Ohm's Law
I = V/R
Which implies
V/R = V/R1 + V/R2 + V/R3........
V(1/R) = V(1/R1 + 1/R2 + 1/R3........)
1/R = 1/R1 + 1/R2 + 1/R3........
b) Minimum Resistance( Resistance in
in parallel)
1/R = 1/R1 + 1/R2 + 1/R3........
1/R = 1/12 + 1/ 12
1/R = 2/12 = 1/6
R = 6 ohm.
By Ohm's Law
V = IR
3 = I X 6
I = 0.5 A
Maximum Resistance( Resistance in
in series)
R = R1+ R2+R3........
R = 12 +12
R = 24 ohm.
By Ohm's Law
V = IR
3 = I X 24
I = 0.125
Ratio of Power = P1/P2
= VI( in parallel )/ VI ( in series )
= I( in parallel )/ I ( in series )
= 0.5 / 0.125
= 4 : 1
The Ratio of their powers are 4:1.
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