Parallel resistors

Three resistors are parallel with a resistance of 6, 12, and 18 ohms. How much resistance is there in all in the parallel circuit in ohms.


The answer is 3.27.

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11 solutions

Robert Fritz
Mar 1, 2014

Since the resistors are parallel. We get 1/6+1/12+1/18=11/36. 36/11=3.27ohms/weird horseshoes.

Nice explanation robert..not of the solution but of the term ohm...

A Former Brilliant Member - 7 years, 3 months ago

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I tell it like it is.

Robert Fritz - 7 years, 3 months ago

It is the capital Greek letter Omega, not a horseshoe.

Sophie Crane - 7 years, 1 month ago

36/11 is 3.45 not 3.27

Nicolai Andreas - 7 years, 3 months ago

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Where did you get that?

Robert Fritz - 7 years, 3 months ago

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wait never mind

Nicolai Andreas - 7 years, 3 months ago

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@Nicolai Andreas Lol, work on mental math.

Robert Fritz - 7 years, 1 month ago

Hello,

for parallel circuit, as given those resistors,let R1= 12 ohms , R2 = 18 ohms, R3= 6 ohms...

Rtot(R1,R2) = R1R2 / (R1+R2) = (12)(18) / (12+18) = 7.2 ohms,

Rtotal(R1,R2,R3) = 7.2(R3) / (R3 + 7.2) = 7.2(6) / (7.2 + 6) = 3.273 ohms....

Thanks....

Wilbert Tumaneng
Mar 27, 2014

they are connected in parallel R=[(R1^-1)+(R2^-1)+(R3^-1)]^-1 R=[(12^-1)+(18^-1)+(6^-1)]^-1 R=3.27 ohms

Rahma Anggraeni
May 12, 2014

Since it is parallel, so..

1 R t o t a l = 1 12 + 1 18 + 1 6 \frac{1}{R_{total}}=\frac{1}{12}+\frac{1}{18}+\frac{1}{6}

1 R t o t a l = 3 + 2 + 6 36 \frac{1}{R_{total}}=\frac{3+2+6}{36}

1 R t o t a l = 11 36 \frac{1}{R_{total}}=\frac{11}{36}

Then..

R t o t a l = 36 11 R_{total}=\frac{36}{11}

R t o t a l = 3.272 R_{total}=3.272

JunJun Aldana
May 11, 2014

Since resistor was connecting in parallel ckt. formula to be use is 1/TotR=1/r1+1/r2+1/r3 1/TotR = 1/6+1/12+1/18 TotR =1/ 0.17r+0.08r+0.05r TotR =1/0.3r =3.33r

Rt1=R1(R2)/R1+R2

Rt=R3(Rt1)/R3+Rt1

first get the initial resistance with last two parallel resistor then lastly same formula to derive with 3.27 ohms

Abbas Ali
Apr 28, 2014

formula for finding combined resistance in parallel circuit is: 1/R= (1/a)+(1/b)+(1/c).... It depends how many resistors are there in the circuit

(1/(1/12 +1/18 +1/6)) = 3.27 ohms

1/Rtot=1/R1 plus 1/R2 Plus 1/R3 since they are parallel. =1/6+1/12+1/18 =11/36 Get the reciprocal 36/11 or 3.27.

Gaurav Singh
Mar 21, 2014

these are connect in parell

Krishna Garg
Mar 10, 2014

Formula for parallel resistance in a circuit is 1 ---------------------------------- 1/R1 +1/R2 +1/R3 Substituting the values in above,we get 36/11 = 3.3 Ans K.K.GARG.India

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