Consider the following circuits constructed from one 10.0 V battery and three eq

Question

Consider the following circuits constructed from one 10.0 V battery and three equal 5.00 Ohm resistors.
(a) Two resistors in parallel with each other connected in series with the battery and third resistor.
(b) Two resistors in series with each other connected in parallel with the battery and third resistor.
(c) All four components connected in series in a single loop.
(d) All four components connected in parallel with each other.
Find the current through and power supplied by the battery in each case.

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Explanation / Answer

(a) Ro= 5+(5*5)/(5+5)=10? I=E/R =10/10= 1[A] P=EI = 10*1= 10[W] (b) Ro= (10*5)/(10+5)= 3.333? I=E/R =10/3.333= 3[A] P=EI = 10*3= 30[W] (c) Ro=5+5+5= 15? I=E/R = 10/15= 0.667[A] P=EI = 10*0.667= 6.67[W] (d) Ro= 5/3? I=E/R = 10/(5/3)= 6[A] P=EI = 10*6= 60[W]

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