Three resistors are connected in parallel in a circuit with a 9-volt battery. The resistors are 4, 6 and 12 ohms. Calculate the current in the circuit.
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OpenStudy (anonymous):
@supercrazy92 can u help?
OpenStudy (anonymous):
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OpenStudy (anonymous):
Do you know how to calculate the resistance in parallel combination ?
OpenStudy (anonymous):
well i added them and i got 22 and i divided by 9 but i dont know if i got it right
OpenStudy (anonymous):
the answer choices are these
A 18 amps
B. 9 amps
C. 4.5 amps
D. 2.25 amps
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OpenStudy (anonymous):
For parallel combination
\[\frac{ 1 }{ R } = \frac{ 1 }{ R_1 } + \frac{ 1 }{ R_2 } + \frac{ 1 }{ R_1 }\]
Solve this , you'll get the Total resistance
after that , use Ohm's law again to find I (current).
OpenStudy (anonymous):
so the total resistance is 22
OpenStudy (anonymous):
i got .40909
OpenStudy (anonymous):
ohh nvm i think i got it it will be 18
OpenStudy (anonymous):
is that correct?
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OpenStudy (anonymous):
No, it should be 2ohm
OpenStudy (anonymous):
but its not on the answer choices :/
OpenStudy (anonymous):
.409 that must be 1/R
for R you should divide this (1/.409)
OpenStudy (anonymous):
well the only 2 in the answer choices is 2.25 and that says 2.44
OpenStudy (anonymous):
I got 1/R =0.499
and R =2 ohm
I told you it is not the answer it is the totalt resistance of the circuit.
now we have to use Ohm's law for total current the circuit.
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OpenStudy (anonymous):
Did you get that ?
OpenStudy (anonymous):
ohh ok
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so it will be 4.5 ohms
OpenStudy (anonymous):
right?
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