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Physics
Problem
Which one of the following gives the equivalent resistance
R
p
R_{\text{p}}
R
p
of three resistors
R
1
,
R
2
,
R
3
R_1,\,R_2,\,R_3
R
1
,
R
2
,
R
3
connected in parallel? a)
R
p
=
1
R
1
+
1
R
2
+
1
R
3
\displaystyle R_{\text{p}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}
R
p
=
R
1
1
+
R
2
1
+
R
3
1
b)
1
R
p
=
1
R
1
+
1
R
2
+
1
R
3
\displaystyle \frac{1}{R_{\text{p}}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}
R
p
1
=
R
1
1
+
R
2
1
+
R
3
1
c)
R
p
=
R
1
R
2
R
3
R
1
+
R
2
+
R
3
\displaystyle R_{\text{p}}=\frac{R_1 R_2 R_3}{R_1+R_2+R_3}
R
p
=
R
1
+
R
2
+
R
3
R
1
R
2
R
3
d)
1
R
p
=
R
1
+
R
2
+
R
3
\displaystyle \frac{1}{R_{\text{p}}}=R_1+R_2+R_3
R
p
1
=
R
1
+
R
2
+
R
3
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