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40 votes
40 votes
A circuit with a battery, a 3 Ω resistor, a 21 Ω resistor, and a 27 Ω resistor in parallel. The total voltage is the system is 1.0 V. What is the current through the battery?

User Emilien Brigand
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1 Answer

21 votes
21 votes

ANSWER

0.42A

Step-by-step explanation

The current through the battery is the total current circulating through the circuit. To find it, first, we have to find the equivalent resistance between the three parallel resistors,


R_(eq)=3\Omega\parallel21\Omega\parallel27\Omega=(1)/((1)/(3\Omega)+(1)/(21\Omega)+(1)/(27\Omega))\approx2.39\Omega

Now, applying Ohm's law and knowing that the voltage across the battery is 1.0V, we can find the current through the circuit,


I=(V)/(R)=(1.0V)/(2.39\Omega)=0.42A

Hence, the current through the battery is 0.42A

User Daniel Ellison
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2.8k points