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Three components in a parallel circuit have individual resistances of [tex]r_1[/tex], [tex]r_2[/tex], and [tex]r_3[/tex]. What formula can you use to determine the total resistance of the circuit?
A. [tex]\frac{1}{R}=r_1+r_2+r_3[/tex]
B. [tex]R=r_1+r_2+r_3[/tex]
C. [tex]R=\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}[/tex]
D. [tex]\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}[/tex]
To determine the total resistance [tex]\( R \)[/tex] in a parallel circuit with individual resistances [tex]\( r_1 \)[/tex], [tex]\( r_2 \)[/tex], and [tex]\( r_3 \)[/tex], we use the formula:
This is the correct formula because, in a parallel circuit, the reciprocal of the total resistance is the sum of the reciprocals of the individual resistances.
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